andriy's conversion to a generic matrix

src/FSharp/DenseMatrix.fs

@@ -30,8 +30,8 @@
 // </copyright>
 
 namespace MathNet.Numerics.LinearAlgebra.Double
-
 open MathNet.Numerics.LinearAlgebra
+open MathNet.Numerics.LinearAlgebra.Generic
 
 /// A module which implements functional dense vector operations.
 module DenseMatrix =
@@ -81,7 +81,7 @@ module DenseMatrix =
         A
     
     /// Create a square matrix with the vector elements on the diagonal.
-    let inline diag (v: #Vector) =
+    let inline diag (v: #Vector<float>) =
         let n = v.Count
         let A = new DenseMatrix(n,n)
         for i=0 to n-1 do
@@ -89,13 +89,13 @@ module DenseMatrix =
         A
 
     /// Initialize a matrix by calling a construction function for every row.
-    let inline initRow (n: int) (m: int) (f: int -> #Vector) =
+    let inline initRow (n: int) (m: int) (f: int -> #Vector<float>) =
         let A = new DenseMatrix(n,m)
         for i=0 to n-1 do A.SetRow(i, f i)
         A
 
     /// Initialize a matrix by calling a construction function for every column.
-    let inline initCol (n: int) (m: int) (f: int -> #Vector) =
+    let inline initCol (n: int) (m: int) (f: int -> #Vector<float>) =
         let A = new DenseMatrix(n,m)
         for i=0 to m-1 do A.SetColumn(i, f i)
         A

src/FSharp/Main.fs

@@ -31,12 +31,12 @@
 namespace MathNet.Numerics
 
 open MathNet.Numerics.LinearAlgebra.Double
-
+open MathNet.Numerics.LinearAlgebra.Generic
 /// A module which implements some F# utility functions.
 module FSharp =
 
     /// Construct a dense matrix from a list of floating point numbers.
-    let inline matrix (lst: list<list<float>>) = DenseMatrix.ofList lst :> Matrix
+    let inline matrix (lst: list<list<float>>) = DenseMatrix.ofList lst :> Matrix<float>
 
     /// Construct a dense vector from a list of floating point numbers.
-    let inline vector (lst: list<float>) = DenseVector.ofList lst :> Vector
+    let inline vector (lst: list<float>) = DenseVector.ofList lst :> Vector<float>

src/FSharp/Matrix.fs

@@ -31,12 +31,13 @@
 namespace MathNet.Numerics.LinearAlgebra.Double
 
 open MathNet.Numerics.LinearAlgebra.Double
+open MathNet.Numerics.LinearAlgebra.Generic
 
 /// A module which implements functional matrix operations.
 module Matrix =
     
     /// Fold a function over all matrix elements.
-    let inline fold (f: 'a -> float -> 'a) (acc0: 'a) (A: #Matrix) =
+    let inline fold (f: 'a -> float -> 'a) (acc0: 'a) (A: #Matrix<float>) =
         let n = A.RowCount
         let m = A.ColumnCount
         let mutable acc = acc0
@@ -46,7 +47,7 @@ module Matrix =
         acc
 
     /// Fold a matrix by applying a given function to all matrix elements.
-    let inline foldi (f: int -> int -> 'a -> float -> 'a) (acc0: 'a) (A: #Matrix) =
+    let inline foldi (f: int -> int -> 'a -> float -> 'a) (acc0: 'a) (A: #Matrix<float>) =
         let n = A.RowCount
         let m = A.ColumnCount
         let mutable acc = acc0
@@ -56,13 +57,13 @@ module Matrix =
         acc
 
     /// Create a 2D array from a matrix.
-    let inline toArray2 (A: #Matrix) =
+    let inline toArray2 (A: #Matrix<float>) =
         let n = A.RowCount
         let m = A.ColumnCount
         Array2D.init n m (fun i j -> (A.Item(i,j)))
     
     /// Checks whether a predicate holds for all elements of a matrix.  
-    let inline forall (p: float -> bool) (A: #Matrix) =
+    let inline forall (p: float -> bool) (A: #Matrix<float>) =
         let mutable b = true
         let mutable i = 0
         let mutable j = 0
@@ -73,7 +74,7 @@ module Matrix =
         b
     
     /// Chechks whether a predicate holds for at least one element of a matrix.
-    let inline exists (p: float -> bool) (A: #Matrix) =
+    let inline exists (p: float -> bool) (A: #Matrix<float>) =
         let mutable b = false
         let mutable i = 0
         let mutable j = 0
@@ -84,7 +85,7 @@ module Matrix =
         b
     
     /// Checks whether a position dependent predicate holds for all elements of a matrix.
-    let inline foralli (p: int -> int -> float -> bool) (A: #Matrix) =
+    let inline foralli (p: int -> int -> float -> bool) (A: #Matrix<float>) =
         let mutable b = true
         let mutable i = 0
         let mutable j = 0
@@ -95,7 +96,7 @@ module Matrix =
         b
     
     /// Checks whether a position dependent predicate holds for at least one element of a matrix.
-    let inline existsi (p: int -> int -> float -> bool) (A: #Matrix) =
+    let inline existsi (p: int -> int -> float -> bool) (A: #Matrix<float>) =
         let mutable b = false
         let mutable i = 0
         let mutable j = 0
@@ -106,7 +107,7 @@ module Matrix =
         b
     
     /// Map every matrix element using the given function.
-    let inline map (f: float -> float) (A: #Matrix) =
+    let inline map (f: float -> float) (A: #Matrix<float>) =
         let N = A.RowCount
         let M = A.ColumnCount
         let C = A.Clone()
@@ -116,7 +117,7 @@ module Matrix =
         C
     
     /// Map every matrix element using the given position dependent function.
-    let inline mapi (f: int -> int -> float -> float) (A: #Matrix) =
+    let inline mapi (f: int -> int -> float -> float) (A: #Matrix<float>) =
         let N = A.RowCount
         let M = A.ColumnCount
         let C = A.Clone()
@@ -126,25 +127,25 @@ module Matrix =
         C
     
     /// In-place assignment.
-    let inline inplaceAssign (f: int -> int -> float) (A: #Matrix) =
+    let inline inplaceAssign (f: int -> int -> float) (A: #Matrix<float>) =
         for i=0 to A.RowCount-1 do
             for j=0 to A.ColumnCount-1 do
                 A.Item(i,j) <- f i j
     
     /// In-place map of every matrix element using a position dependent function.
-    let inline inplaceMapi (f: int -> int -> float -> float) (A: #Matrix) =
+    let inline inplaceMapi (f: int -> int -> float -> float) (A: #Matrix<float>) =
         for i=0 to A.RowCount-1 do
             for j=0 to A.ColumnCount-1 do
                 A.Item(i,j) <- f i j (A.Item(i,j))
         
     /// Creates a sequence that iterates the non-zero entries in the matrix.
-    let inline nonZeroEntries (A: #Matrix) =
+    let inline nonZeroEntries (A: #Matrix<float>) =
         seq { for i in 0 .. A.RowCount-1 do
                 for j in 0 .. A.ColumnCount-1 do
                   if A.Item(i,j) <> 0.0 then yield (i,j, A.Item(i,j)) }
     
     /// Returns the sum of all elements of a matrix.
-    let inline sum (A: #Matrix) =
+    let inline sum (A: #Matrix<float>) =
         let mutable f = 0.0
         for i=0 to A.RowCount-1 do
             for j=0 to A.ColumnCount-1 do
@@ -152,49 +153,49 @@ module Matrix =
         f
     
     /// Iterates over all elements of a matrix.
-    let inline iter (f: float -> unit) (A: #Matrix) =
+    let inline iter (f: float -> unit) (A: #Matrix<float>) =
         for i=0 to A.RowCount-1 do
             for j=0 to A.ColumnCount-1 do
                 f (A.Item(i,j))
         ()
     
     /// Iterates over all elements of a matrix using the element indices.
-    let inline iteri (f: int -> int -> float -> unit) (A: #Matrix) =
+    let inline iteri (f: int -> int -> float -> unit) (A: #Matrix<float>) =
         for i=0 to A.RowCount-1 do
             for j=0 to A.ColumnCount-1 do
                 f i j (A.Item(i,j))
         ()
         
     /// Fold one column.
-    let inline foldCol (f: 'a -> float -> 'a) acc (A: #Matrix) k =
+    let inline foldCol (f: 'a -> float -> 'a) acc (A: #Matrix<float>) k =
         let mutable macc = acc
         for i=0 to A.RowCount-1 do
             macc <- f macc (A.Item(i,k))
         macc
     
     /// Fold one row.
-    let inline foldRow (f: 'a -> float -> 'a) acc (A: #Matrix) k =
+    let inline foldRow (f: 'a -> float -> 'a) acc (A: #Matrix<float>) k =
         let mutable macc = acc
         for i=0 to A.ColumnCount-1 do
             macc <- f macc (A.Item(k,i))
         macc
 
     /// Fold all columns into one row vector.
-    let inline foldByCol (f: float -> float -> float) acc (A: #Matrix) =
+    let inline foldByCol (f: float -> float -> float) acc (A: #Matrix<float>) =
         let v = new DenseVector(A.ColumnCount)
         for k=0 to A.ColumnCount-1 do
             let mutable macc = acc
             for i=0 to A.RowCount-1 do
                 macc <- f macc (A.Item(i,k))
             v.[k] <- macc
-        v :> Vector
+        v :> Vector<float>
     
     /// Fold all rows into one column vector.
-    let inline foldByRow (f: float -> float -> float) acc (A: #Matrix) =
+    let inline foldByRow (f: float -> float -> float) acc (A: #Matrix<float>) =
         let v = new DenseVector(A.RowCount)
         for k=0 to A.RowCount-1 do
             let mutable macc = acc
             for i=0 to A.ColumnCount-1 do
                 macc <- f macc (A.Item(k,i))
             v.[k] <- macc
-        v :> Vector
+        v :> Vector<float>

src/FSharp/SparseMatrix.fs

@@ -31,7 +31,7 @@
 namespace MathNet.Numerics.LinearAlgebra.Double
 
 open MathNet.Numerics.LinearAlgebra
-
+open MathNet.Numerics.LinearAlgebra.Generic
 /// A module which implements functional sparse vector operations.
 module SparseMatrix =
     
@@ -55,7 +55,7 @@ module SparseMatrix =
         A
     
     /// Create a square matrix with the vector elements on the diagonal.
-    let inline diag (v: #Vector) =
+    let inline diag (v: #Vector<float>) =
         let n = v.Count
         let A = new Double.SparseMatrix(n,n)
         for i=0 to n-1 do
@@ -63,13 +63,13 @@ module SparseMatrix =
         A
 
     /// Initialize a matrix by calling a construction function for every row.
-    let inline initRow (n: int) (m: int) (f: int -> #Vector) =
+    let inline initRow (n: int) (m: int) (f: int -> #Vector<float>) =
         let A = new Double.SparseMatrix(n,m)
         for i=0 to n-1 do A.SetRow(i, f i)
         A
 
     /// Initialize a matrix by calling a construction function for every column.
-    let inline initCol (n: int) (m: int) (f: int -> #Vector) =
+    let inline initCol (n: int) (m: int) (f: int -> #Vector<float>) =
         let A = new Double.SparseMatrix(n,m)
         for i=0 to n-1 do A.SetColumn(i, f i)
         A

src/FSharp/Vector.fs

@@ -31,77 +31,77 @@
 namespace MathNet.Numerics.LinearAlgebra.Double
 
 open MathNet.Numerics.LinearAlgebra
-
+open MathNet.Numerics.LinearAlgebra.Generic
 /// A module which implements functional vector operations.
 module Vector =
         
     /// Transform a vector into an array.
-    let inline toArray (v: #Vector) =
+    let inline toArray (v: #Vector<float>) =
         let n = v.Count
         Array.init n (fun i -> v.Item(i))
         
     /// Transform a vector into an array.
-    let inline toList (v: #Vector) =
+    let inline toList (v: #Vector<float>) =
         let n = v.Count
         List.init n (fun i -> v.Item(i))
 
     /// In-place mutation by applying a function to every element of the vector.
-    let inline mapInPlace (f: float -> float) (v: #Vector) =
+    let inline mapInPlace (f: float -> float) (v: #Vector<float>) =
         for i=0 to v.Count-1 do
             v.Item(i) <- f (v.Item(i))
         ()
 
     /// In-place mutation by applying a function to every element of the vector.
-    let inline mapiInPlace (f: int -> float -> float) (v: #Vector) =
+    let inline mapiInPlace (f: int -> float -> float) (v: #Vector<float>) =
         for i=0 to v.Count-1 do
             v.Item(i) <- f i (v.Item(i))
         ()
         
     /// In-place vector addition.
-    let inline addInPlace (v: #Vector) (w: #Vector) = v.Add(w, v)
+    let inline addInPlace (v: #Vector<float>) (w: #Vector<float>) = v.Add(w, v)
         
     /// In place vector subtraction.
-    let inline subInPlace (v: #Vector) (w: #Vector) = v.Subtract(w, v)
+    let inline subInPlace (v: #Vector<float>) (w: #Vector<float>) = v.Subtract(w, v)
     
     /// Functional map operator for vectors.
     /// <include file='../../../../FSharpExamples/DenseVector.xml' path='example'/> 
-    let inline map f (v: #Vector) =
+    let inline map f (v: #Vector<float>) =
         let w = v.Clone()
         mapInPlace (fun x -> f x) w
         w
         
     /// Applies a function to all elements of the vector.
-    let inline iter (f: float -> unit) (v: #Vector) =
+    let inline iter (f: float -> unit) (v: #Vector<float>) =
         for i=0 to v.Count-1 do
             f (v.Item i)
         
     /// Applies a function to all elements of the vector.
-    let inline iteri (f: int -> float -> unit) (v: #Vector) =
+    let inline iteri (f: int -> float -> unit) (v: #Vector<float>) =
         for i=0 to v.Count-1 do
             f i (v.Item i)
             
     /// Maps a vector to a new vector by applying a function to every element.
-    let inline mapi (f: int -> float -> float) (v: #Vector) =
+    let inline mapi (f: int -> float -> float) (v: #Vector<float>) =
         let w = v.Clone()
         mapiInPlace f w
         w
 
     /// Fold all entries of a vector.
-    let inline fold (f: 'a -> float -> 'a) (acc0: 'a) (v: #Vector) =
+    let inline fold (f: 'a -> float -> 'a) (acc0: 'a) (v: #Vector<float>) =
         let mutable acc = acc0
         for i=0 to v.Count-1 do
             acc <- f acc (v.Item(i))
         acc
 
     /// Fold all entries of a vector using a position dependent folding function.
-    let inline foldi (f: int -> 'a -> float -> 'a) (acc0: 'a) (v: #Vector) =
+    let inline foldi (f: int -> 'a -> float -> 'a) (acc0: 'a) (v: #Vector<float>) =
         let mutable acc = acc0
         for i=0 to v.Count-1 do
             acc <- f i acc (v.Item(i))
         acc
         
     /// Checks whether a predicate is satisfied for every element in the vector.
-    let inline forall (p: float -> bool) (v: #Vector) =
+    let inline forall (p: float -> bool) (v: #Vector<float>) =
         let mutable b = true
         let mutable i = 0
         while b && i < v.Count do
@@ -110,7 +110,7 @@ module Vector =
         b
     
     /// Checks whether there is an entry in the vector that satisfies a given predicate.
-    let inline exists (p: float -> bool) (v: #Vector) =
+    let inline exists (p: float -> bool) (v: #Vector<float>) =
         let mutable b = false
         let mutable i = 0
         while not(b) && i < v.Count do
@@ -119,7 +119,7 @@ module Vector =
         b
     
     /// Checks whether a predicate is true for all entries in a vector.
-    let inline foralli (p: int -> float -> bool) (v: #Vector) =
+    let inline foralli (p: int -> float -> bool) (v: #Vector<float>) =
         let mutable b = true
         let mutable i = 0
         while b && i < v.Count do
@@ -128,7 +128,7 @@ module Vector =
         b
     
     /// Checks whether there is an entry in the vector that satisfies a given position dependent predicate.
-    let inline existsi (p: int -> float -> bool) (v: #Vector) =
+    let inline existsi (p: int -> float -> bool) (v: #Vector<float>) =
         let mutable b = false
         let mutable i = 0
         while not(b) && i < v.Count do
@@ -137,7 +137,7 @@ module Vector =
         b
 
     /// Scans a vector; like fold but returns the intermediate result.
-    let inline scan (f: float -> float -> float) (v: #Vector) =
+    let inline scan (f: float -> float -> float) (v: #Vector<float>) =
         let w = v.Clone()
         let mutable p = v.Item(0)
         for i=1 to v.Count-1 do
@@ -146,7 +146,7 @@ module Vector =
         w
 
     /// Scans a vector; like fold but returns the intermediate result.
-    let inline scanBack (f: float -> float -> float) (v: #Vector) =
+    let inline scanBack (f: float -> float -> float) (v: #Vector<float>) =
         let w = v.Clone()
         let mutable p = v.Item(v.Count-1)
         for i=2 to v.Count do
@@ -155,14 +155,14 @@ module Vector =
         w
 
     /// Reduces a vector: the result of this function will be f(...f(f(v[0],v[1]), v[2]),..., v[n]).
-    let inline reduce (f: float -> float -> float) (v: #Vector) =
+    let inline reduce (f: float -> float -> float) (v: #Vector<float>) =
         let mutable p = v.Item(0)
         for i=1 to v.Count-1 do
             p <- f p (v.Item(i))
         p
 
     /// Reduces a vector: the result of this function will be f(v[1], ..., f(v[n-2], f(v[n-1],v[n]))...).
-    let inline reduceBack (f: float -> float -> float) (v: #Vector) =
+    let inline reduceBack (f: float -> float -> float) (v: #Vector<float>) =
         let mutable p = v.Item(v.Count-1)
         for i=2 to v.Count do
             p <- f (v.Item(v.Count - i)) p

src/FSharpExamples/Apply.fs

@@ -30,7 +30,7 @@ module MathNet.Numerics.FSharp.Examples.Apply
 open System.Numerics
 open MathNet.Numerics
 open MathNet.Numerics.LinearAlgebra.Double
-
+open MathNet.Numerics.LinearAlgebra.Generic
 /// Flag to specify wether we want pretty printing or tab separated output.
 let prettyPrint = false
 
@@ -61,7 +61,7 @@ let FunctionList : (string * (float -> float) * (float -> float)) [] =
 /// A vector with random entries.
 let w =
     let rnd = new Random.MersenneTwister()
-    (new DenseVector(Array.init N (fun _ -> rnd.NextDouble() * 10.0))) :> Vector
+    (new DenseVector(Array.init N (fun _ -> rnd.NextDouble() * 10.0))) :> Vector<float>
 
 /// A stopwatch to time the execution.
 let sw = new System.Diagnostics.Stopwatch()

src/FSharpUnitTests/FsUnit.fs

@@ -29,6 +29,7 @@ namespace FsUnit
 
 open MathNet.Numerics
 open MathNet.Numerics.LinearAlgebra.Double
+open MathNet.Numerics.LinearAlgebra.Generic
 
 type Result =
     | Pass
@@ -174,7 +175,7 @@ module SpecOps =
                 else Fail (sprintf "Expected: %A\nActual: %A" expected actual))
             (sprintf "NOT Expected: %A\nActual: %A" expected actual)
             
-    let approximately_vector_equal (places : int) (expected: #Vector) (actual: #Vector) =
+    let approximately_vector_equal (places : int) (expected: #Vector<float>) (actual: #Vector<float>) =
         make (fun () ->
             let mutable f = true
             for i=0 to expected.Count-1 do
@@ -184,7 +185,7 @@ module SpecOps =
                 else Fail (sprintf "Expected: %A\nActual: %A" expected actual))
             (sprintf "NOT Expected: %A\nActual: %A" expected actual)
             
-    let approximately_matrix_equal (places : int) (expected: #Matrix) (actual: #Matrix) =
+    let approximately_matrix_equal (places : int) (expected: #Matrix<float>) (actual: #Matrix<float>) =
         make (fun () ->
             let mutable f = true
             for i=0 to expected.RowCount-1 do

src/FSharpUnitTests/Program.fs

@@ -1,6 +1,7 @@
 open FsUnit
 open MathNet.Numerics.FSharp
 open MathNet.Numerics.LinearAlgebra.Double
+open MathNet.Numerics.LinearAlgebra.Generic
 
 /// Unit tests for the dense vector type.
 let DenseVectorTests =
@@ -29,13 +30,13 @@ let DenseVectorTests =
 let SparseVectorTests =
 
     /// A small uniform vector.
-    let smallv = new DenseVector( [|0.0;0.3;0.0;0.0;0.0|] ) :> Vector
+    let smallv = new DenseVector( [|0.0;0.3;0.0;0.0;0.0|] ) :> Vector<float>
     
     specs "SparseVector" [
         spec "SparseVector.ofList"
-            ((SparseVector.ofList 5 [ (1,0.3) ] :> Vector) |> should equal smallv)
+            ((SparseVector.ofList 5 [ (1,0.3) ] :> Vector<float>) |> should equal smallv)
         spec "SparseVector.ofSeq"
-            ((SparseVector.ofSeq 5 (List.toSeq [ (1,0.3) ]) :> Vector) |> should equal smallv)
+            ((SparseVector.ofSeq 5 (List.toSeq [ (1,0.3) ]) :> Vector<float>) |> should equal smallv)
     ]
 
 
@@ -43,10 +44,10 @@ let SparseVectorTests =
 let VectorTests =
 
     /// A small uniform vector.
-    let smallv = new DenseVector( [|0.3;0.3;0.3;0.3;0.3|] ) :> Vector
+    let smallv = new DenseVector( [|0.3;0.3;0.3;0.3;0.3|] ) :> Vector<float>
 
     /// A large vector with increasingly large entries
-    let largev = new DenseVector( Array.init 100 (fun i -> float i / 100.0) ) :> Vector
+    let largev = new DenseVector( Array.init 100 (fun i -> float i / 100.0) ) :> Vector<float>
     
     specs "Vector" [
         spec "Vector.toArray"
@@ -86,9 +87,9 @@ let VectorTests =
         spec "Vector.existsi"
             (Vector.existsi (fun i x -> x = 0.3 && i = 2) smallv |> should equal true)
         spec "Vector.scan"
-            (Vector.scan (fun acc x -> acc + x) smallv |> should approximately_vector_equal 14 (new DenseVector( [|0.3;0.6;0.9;1.2;1.5|] ) :> Vector) )
+            (Vector.scan (fun acc x -> acc + x) smallv |> should approximately_vector_equal 14 (new DenseVector( [|0.3;0.6;0.9;1.2;1.5|] ) :> Vector<float>) )
         spec "Vector.scanBack"
-            (Vector.scanBack (fun x acc -> acc + x) smallv |> should approximately_vector_equal 14 (new DenseVector( [|1.5;1.2;0.9;0.6;0.3|] ) :> Vector) )
+            (Vector.scanBack (fun x acc -> acc + x) smallv |> should approximately_vector_equal 14 (new DenseVector( [|1.5;1.2;0.9;0.6;0.3|] ) :> Vector<float>) )
         spec "Vector.reduce_left"
             (Vector.reduce (fun acc x -> acc ** x) smallv |> should approximately_equal 14 0.990295218585507)
         spec "Vector.reduce_right"
@@ -141,9 +142,9 @@ let MatrixTests =
         spec "Matrix.foldRow"
             (Matrix.foldRow (+) 0.0 largeM 0 |> should equal 4950.0)
         spec "Matrix.foldByCol"
-            (Matrix.foldByCol (+) 0.0 smallM |> should equal (DenseVector.ofList [0.6;0.6] :> Vector))
+            (Matrix.foldByCol (+) 0.0 smallM |> should equal (DenseVector.ofList [0.6;0.6] :> Vector<float>))
         spec "Matrix.foldByRow"
-            (Matrix.foldByRow (+) 0.0 smallM |> should equal (DenseVector.ofList [0.6;0.6] :> Vector))
+            (Matrix.foldByRow (+) 0.0 smallM |> should equal (DenseVector.ofList [0.6;0.6] :> Vector<float>))
     ]
 
 
@@ -183,13 +184,13 @@ let DenseMatrixTests =
 let SparseMatrixTests =
 
     /// A small uniform vector.
-    let smallM = DenseMatrix.init 4 4 (fun i j -> if i = 1 && j = 2 then 1.0 else 0.0) :> Matrix
+    let smallM = DenseMatrix.init 4 4 (fun i j -> if i = 1 && j = 2 then 1.0 else 0.0) :> Matrix<float>
     
     specs "SparseMatrix" [
         spec "SparseMatrix.ofList"
-            ((SparseMatrix.ofList 4 4 [(1,2,1.0)] :> Matrix) |> should equal smallM)
+            ((SparseMatrix.ofList 4 4 [(1,2,1.0)] :> Matrix<float>) |> should equal smallM)
         spec "SparseMatrix.ofSeq"
-            ((SparseMatrix.ofSeq 4 4 (Seq.ofList [(1,2,1.0)]) :> Matrix) |> should equal smallM)
+            ((SparseMatrix.ofSeq 4 4 (Seq.ofList [(1,2,1.0)]) :> Matrix<float>) |> should equal smallM)
         spec "SparseMatrix.constDiag"
             (SparseMatrix.constDiag 100 2.0 |> should equal (2.0 * (SparseMatrix.Identity 100)))
         spec "SparseMatrix.diag"

src/Numerics/LinearAlgebra/Double/DenseMatrix.cs

@@ -27,12 +27,18 @@
 namespace MathNet.Numerics.LinearAlgebra.Double
 {
     using System;
+    using System.Text;
+    using Distributions;
+    using Factorization;
+    using Generic;
+    using Generic.Factorization;
     using Properties;
+    using Threading;
 
     /// <summary>
     /// A Matrix class with dense storage. The underlying storage is a one dimensional array in column-major order.
     /// </summary>
-    public class DenseMatrix : Matrix
+    public class DenseMatrix : Matrix<double>
     {
         /// <summary>
         /// Initializes a new instance of the <see cref="DenseMatrix"/> class. This matrix is square with a given size.
@@ -137,19 +143,19 @@ namespace MathNet.Numerics.LinearAlgebra.Double
         /// <returns>
         /// A <c>DenseMatrix</c> with the given dimensions.
         /// </returns>
-        public override Matrix CreateMatrix(int numberOfRows, int numberOfColumns)
+        public override Matrix<double> CreateMatrix(int numberOfRows, int numberOfColumns)
         {
             return new DenseMatrix(numberOfRows, numberOfColumns);
         }
 
         /// <summary>
-        /// Creates a <see cref="Vector"/> with a the given dimension.
+        /// Creates a <see cref="Vector{T}"/> with a the given dimension.
         /// </summary>
         /// <param name="size">The size of the vector.</param>
         /// <returns>
-        /// A <see cref="Vector"/> with the given dimension.
+        /// A <see cref="Vector{T}"/> with the given dimension.
         /// </returns>
-        public override Vector CreateVector(int size)
+        public override Vector<double> CreateVector(int size)
         {
             return new DenseVector(size);
         }
@@ -200,7 +206,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double
         /// Returns the transpose of this matrix.
         /// </summary>        
         /// <returns>The transpose of this matrix.</returns>
-        public override Matrix Transpose()
+        public override Matrix<double> Transpose()
         {
             var ret = new DenseMatrix(ColumnCount, RowCount);
             for (var j = 0; j < ColumnCount; j++)
@@ -278,7 +284,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double
         /// <param name="other">The matrix to add to this matrix.</param>
         /// <exception cref="ArgumentNullException">If the other matrix is <see langword="null" />.</exception>
         /// <exception cref="ArgumentOutOfRangeException">If the two matrices don't have the same dimensions.</exception>
-        public override void Add(Matrix other)
+        public override void Add(Matrix<double> other)
         {
             var m = other as DenseMatrix;
             if (m == null)
@@ -318,7 +324,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double
         /// <param name="other">The matrix to subtract.</param>
         /// <exception cref="ArgumentNullException">If the other matrix is <see langword="null" />.</exception>
         /// <exception cref="ArgumentOutOfRangeException">If the two matrices don't have the same dimensions.</exception>
-        public override void Subtract(Matrix other)
+        public override void Subtract(Matrix<double> other)
         {
             var m = other as DenseMatrix;
             if (m == null)
@@ -370,7 +376,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double
         /// <exception cref="ArgumentNullException">If the result matrix is <see langword="null" />.</exception>
         /// <exception cref="ArgumentException">If <strong>this.Columns != other.Rows</strong>.</exception>
         /// <exception cref="ArgumentException">If the result matrix's dimensions are not the this.Rows x other.Columns.</exception>
-        public override void Multiply(Matrix other, Matrix result)
+        public override void Multiply(Matrix<double> other, Matrix<double> result)
         {
             if (other == null)
             {
@@ -419,7 +425,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double
         /// <exception cref="ArgumentException">If <strong>this.Columns != other.Rows</strong>.</exception>        
         /// <exception cref="ArgumentNullException">If the other matrix is <see langword="null" />.</exception>
         /// <returns>The result of multiplication.</returns>
-        public override Matrix Multiply(Matrix other)
+        public override Matrix<double> Multiply(Matrix<double> other)
         {
             if (other == null)
             {
@@ -451,7 +457,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double
         /// <exception cref="ArgumentNullException">If the result matrix is <see langword="null" />.</exception>
         /// <exception cref="ArgumentException">If <strong>this.Columns != other.Rows</strong>.</exception>
         /// <exception cref="ArgumentException">If the result matrix's dimensions are not the this.Rows x other.Columns.</exception>
-        public override void TransposeAndMultiply(Matrix other, Matrix result)
+        public override void TransposeAndMultiply(Matrix<double> other, Matrix<double> result)
         {
             var otherDense = other as DenseMatrix;
             var resultDense = result as DenseMatrix;
@@ -493,7 +499,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double
         /// <exception cref="ArgumentException">If <strong>this.Columns != other.Rows</strong>.</exception>        
         /// <exception cref="ArgumentNullException">If the other matrix is <see langword="null" />.</exception>
         /// <returns>The result of multiplication.</returns>
-        public override Matrix TransposeAndMultiply(Matrix other)
+        public override Matrix<double> TransposeAndMultiply(Matrix<double> other)
         {
             var otherDense = other as DenseMatrix;
             if (otherDense == null)
@@ -563,5 +569,155 @@ namespace MathNet.Numerics.LinearAlgebra.Double
         }
 
         #endregion
+
+        /// <summary>
+        /// Negates each element of this matrix.
+        /// </summary>        
+        public override void Negate()
+        {
+            Multiply(-1);
+        }
+
+        /// <summary>
+        /// Generates matrix with random elements.
+        /// </summary>
+        /// <param name="numberOfRows">Number of rows.</param>
+        /// <param name="numberOfColumns">Number of columns.</param>
+        /// <param name="distribution">Continuous Random Distribution or Source</param>
+        /// <returns>
+        /// An <c>numberOfRows</c>-by-<c>numberOfColumns</c> matrix with elements distributed according to the provided distribution.
+        /// </returns>
+        /// <exception cref="ArgumentException">If the parameter <paramref name="numberOfRows"/> is not positive.</exception>
+        /// <exception cref="ArgumentException">If the parameter <paramref name="numberOfColumns"/> is not positive.</exception>
+        public override Matrix<double> Random(int numberOfRows, int numberOfColumns, IContinuousDistribution distribution)
+        {
+            if (numberOfRows < 1)
+            {
+                throw new ArgumentException(Resources.ArgumentMustBePositive, "numberOfRows");
+            }
+
+            if (numberOfColumns < 1)
+            {
+                throw new ArgumentException(Resources.ArgumentMustBePositive, "numberOfColumns");
+            }
+
+            var matrix = CreateMatrix(numberOfRows, numberOfColumns);
+            CommonParallel.For(
+                0,
+                ColumnCount,
+                j =>
+                {
+                    for (var i = 0; i < matrix.RowCount; i++)
+                    {
+                        matrix[i, j] = distribution.Sample();
+                    }
+                });
+
+            return matrix;
+        }
+
+        /// <summary>
+        /// Generates matrix with random elements.
+        /// </summary>
+        /// <param name="numberOfRows">Number of rows.</param>
+        /// <param name="numberOfColumns">Number of columns.</param>
+        /// <param name="distribution">Continuous Random Distribution or Source</param>
+        /// <returns>
+        /// An <c>numberOfRows</c>-by-<c>numberOfColumns</c> matrix with elements distributed according to the provided distribution.
+        /// </returns>
+        /// <exception cref="ArgumentException">If the parameter <paramref name="numberOfRows"/> is not positive.</exception>
+        /// <exception cref="ArgumentException">If the parameter <paramref name="numberOfColumns"/> is not positive.</exception>
+        public override Matrix<double> Random(int numberOfRows, int numberOfColumns, IDiscreteDistribution distribution)
+        {
+            if (numberOfRows < 1)
+            {
+                throw new ArgumentException(Resources.ArgumentMustBePositive, "numberOfRows");
+            }
+
+            if (numberOfColumns < 1)
+            {
+                throw new ArgumentException(Resources.ArgumentMustBePositive, "numberOfColumns");
+            }
+
+            var matrix = CreateMatrix(numberOfRows, numberOfColumns);
+            CommonParallel.For(
+                0,
+                ColumnCount,
+                j =>
+                {
+                    for (var i = 0; i < matrix.RowCount; i++)
+                    {
+                        matrix[i, j] = distribution.Sample();
+                    }
+                });
+
+            return matrix;
+        }
+
+        #region Simple arithmetic of type T
+        /// <summary>
+        /// Add two values T+T
+        /// </summary>
+        /// <param name="val1">Left operand value</param>
+        /// <param name="val2">Right operand value</param>
+        /// <returns>Result of addition</returns>
+        protected sealed override double AddT(double val1, double val2)
+        {
+            return val1 + val2;
+        }
+
+        /// <summary>
+        /// Subtract two values T-T
+        /// </summary>
+        /// <param name="val1">Left operand value</param>
+        /// <param name="val2">Right operand value</param>
+        /// <returns>Result of subtract</returns>
+        protected sealed override double SubtractT(double val1, double val2)
+        {
+            return val1 - val2;
+        }
+
+        /// <summary>
+        /// Multiply two values T*T
+        /// </summary>
+        /// <param name="val1">Left operand value</param>
+        /// <param name="val2">Right operand value</param>
+        /// <returns>Result of multiplication</returns>
+        protected sealed override double MultiplyT(double val1, double val2)
+        {
+            return val1 * val2;
+        }
+
+        /// <summary>
+        /// Divide two values T/T
+        /// </summary>
+        /// <param name="val1">Left operand value</param>
+        /// <param name="val2">Right operand value</param>
+        /// <returns>Result of divide</returns>
+        protected sealed override double DivideT(double val1, double val2)
+        {
+            return val1 / val2;
+        }
+
+        /// <summary>
+        /// Is equal to one?
+        /// </summary>
+        /// <param name="val1">Value to check</param>
+        /// <returns>True if one; otherwise false</returns>
+        protected sealed override bool IsOneT(double val1)
+        {
+            return 1.0.AlmostEqualInDecimalPlaces(val1, 15);
+        }
+
+        /// <summary>
+        /// Take absolute value
+        /// </summary>
+        /// <param name="val1">Source alue</param>
+        /// <returns>True if one; otherwise false</returns>
+        protected sealed override double AbsoluteT(double val1)
+        {
+            return Math.Abs(val1);
+        }
+        #endregion  
     }
 }

src/Numerics/LinearAlgebra/Double/DenseVector.cs

@@ -30,7 +30,9 @@ namespace MathNet.Numerics.LinearAlgebra.Double
     using System.Collections.Generic;
     using System.Globalization;
     using System.Linq;
+    using System.Text;
     using Distributions;
+    using Generic;
     using NumberTheory;
     using Properties;
     using Threading;
@@ -38,7 +40,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double
     /// <summary>
     /// A vector using dense storage.
     /// </summary>
-    public class DenseVector : Vector
+    public class DenseVector : Vector<double>
     {
         /// <summary>
         /// Initializes a new instance of the <see cref="DenseVector"/> class with a given size.
@@ -84,7 +86,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double
         /// <param name="other">
         /// The vector to create the new vector from.
         /// </param>
-        public DenseVector(Vector other)
+        public DenseVector(Vector<double> other)
             : this(other.Count)
         {
             var vector = other as DenseVector;
@@ -175,7 +177,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double
         /// Create a matrix based on this vector in column form (one single column).
         /// </summary>
         /// <returns>This vector as a column matrix.</returns>
-        public override Matrix ToColumnMatrix()
+        public override Matrix<double> ToColumnMatrix()
         {
             var matrix = new DenseMatrix(Count, 1);
             for (var i = 0; i < Data.Length; i++)
@@ -190,7 +192,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double
         /// Create a matrix based on this vector in row form (one single row).
         /// </summary>
         /// <returns>This vector as a row matrix.</returns>
-        public override Matrix ToRowMatrix()
+        public override Matrix<double> ToRowMatrix()
         {
             var matrix = new DenseMatrix(1, Count);
             for (var i = 0; i < Data.Length; i++)
@@ -232,7 +234,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double
         /// <returns>
         /// A matrix with the given dimensions.
         /// </returns>
-        public override Matrix CreateMatrix(int rows, int columns)
+        public override Matrix<double> CreateMatrix(int rows, int columns)
         {
             return new DenseMatrix(rows, columns);
         }
@@ -247,7 +249,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double
         /// <returns>
         /// The new <c>Vector</c>.
         /// </returns>
-        public override Vector CreateVector(int size)
+        public override Vector<double> CreateVector(int size)
         {
             return new DenseVector(size);
         }
@@ -264,7 +266,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double
         /// <exception cref="ArgumentException">
         /// If <paramref name="target"/> is not the same size as this vector.
         /// </exception>
-        public override void CopyTo(Vector target)
+        public override void CopyTo(Vector<double> target)
         {
             if (target == null)
             {
@@ -300,7 +302,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double
         /// </summary>
         /// <param name="scalar">The scalar to add.</param>
         /// <returns>A copy of the vector with the scalar added.</returns>
-        public override Vector Add(double scalar)
+        public override Vector<double> Add(double scalar)
         {
             if (scalar == 0.0)
             {
@@ -322,7 +324,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double
         /// <param name="result">The vector to store the result of the addition.</param>
         /// <exception cref="ArgumentNullException">If the result vector is <see langword="null" />.</exception>
         /// <exception cref="ArgumentException">If this vector and <paramref name="result"/> are not the same size.</exception>
-        public override void Add(double scalar, Vector result)
+        public override void Add(double scalar, Vector<double> result)
         {
             if (result == null)
             {
@@ -355,7 +357,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double
         /// <returns>A new vector containing the sum of both vectors.</returns>
         /// <exception cref="ArgumentNullException">If the other vector is <see langword="null" />.</exception> 
         /// <exception cref="ArgumentException">If this vector and <paramref name="other"/> are not the same size.</exception>
-        public override Vector Add(Vector other)
+        public override Vector<double> Add(Vector<double> other)
         {
             if (other == null)
             {
@@ -388,7 +390,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double
         /// <exception cref="ArgumentNullException">If the result vector is <see langword="null" />.</exception> 
         /// <exception cref="ArgumentException">If this vector and <paramref name="other"/> are not the same size.</exception>
         /// <exception cref="ArgumentException">If this vector and <paramref name="result"/> are not the same size.</exception>
-        public override void Add(Vector other, Vector result)
+        public override void Add(Vector<double> other, Vector<double> result)
         {
             if (result == null)
             {
@@ -436,7 +438,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double
         /// <param name="rightSide">The vector to get the values from.</param>
         /// <returns>A vector containing a the same values as <paramref name="rightSide"/>.</returns>
         /// <exception cref="ArgumentNullException">If <paramref name="rightSide"/> is <see langword="null" />.</exception>
-        public static Vector operator +(DenseVector rightSide)
+        public static Vector<double> operator +(DenseVector rightSide)
         {
             if (rightSide == null)
             {
@@ -454,7 +456,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double
         /// <returns>The result of the addition.</returns>
         /// <exception cref="ArgumentException">If <paramref name="leftSide"/> and <paramref name="rightSide"/> are not the same size.</exception>
         /// <exception cref="ArgumentNullException">If <paramref name="leftSide"/> or <paramref name="rightSide"/> is <see langword="null" />.</exception>
-        public static Vector operator +(DenseVector leftSide, DenseVector rightSide)
+        public static Vector<double> operator +(DenseVector leftSide, DenseVector rightSide)
         {
             if (rightSide == null)
             {
@@ -479,7 +481,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double
         /// </summary>
         /// <param name="scalar">The scalar to subtract.</param>
         /// <returns>A new vector containing the subtraction of this vector and the scalar.</returns>
-        public override Vector Subtract(double scalar)
+        public override Vector<double> Subtract(double scalar)
         {
             if (scalar == 0.0)
             {
@@ -501,7 +503,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double
         /// <param name="result">The vector to store the result of the subtraction.</param>
         /// <exception cref="ArgumentNullException">If the result vector is <see langword="null"/>.</exception>
         /// <exception cref="ArgumentException">If this vector and <paramref name="result"/> are not the same size.</exception>
-        public override void Subtract(double scalar, Vector result)
+        public override void Subtract(double scalar, Vector<double> result)
         {
             if (result == null)
             {
@@ -534,7 +536,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double
         /// <returns>A new vector containing the subtraction of the the two vectors.</returns>
         /// <exception cref="ArgumentNullException">If the other vector is <see langword="null"/>.</exception>
         /// <exception cref="ArgumentException">If this vector and <paramref name="other"/> are not the same size.</exception>
-        public override Vector Subtract(Vector other)
+        public override Vector<double> Subtract(Vector<double> other)
         {
             if (other == null)
             {
@@ -567,7 +569,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double
         /// <exception cref="ArgumentNullException">If the result vector is <see langword="null"/>.</exception>
         /// <exception cref="ArgumentException">If this vector and <paramref name="other"/> are not the same size.</exception>
         /// <exception cref="ArgumentException">If this vector and <paramref name="result"/> are not the same size.</exception>
-        public override void Subtract(Vector other, Vector result)
+        public override void Subtract(Vector<double> other, Vector<double> result)
         {
             if (result == null)
             {
@@ -614,7 +616,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double
         /// <param name="rightSide">The vector to get the values from.</param>
         /// <returns>A vector containing the negated values as <paramref name="rightSide"/>.</returns>
         /// <exception cref="ArgumentNullException">If <paramref name="rightSide"/> is <see langword="null" />.</exception>
-        public static Vector operator -(DenseVector rightSide)
+        public static Vector<double> operator -(DenseVector rightSide)
         {
             if (rightSide == null)
             {
@@ -632,7 +634,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double
         /// <returns>The result of the subtraction.</returns>
         /// <exception cref="ArgumentException">If <paramref name="leftSide"/> and <paramref name="rightSide"/> are not the same size.</exception>
         /// <exception cref="ArgumentNullException">If <paramref name="leftSide"/> or <paramref name="rightSide"/> is <see langword="null" />.</exception>
-        public static Vector operator -(DenseVector leftSide, DenseVector rightSide)
+        public static Vector<double> operator -(DenseVector leftSide, DenseVector rightSide)
         {
             if (rightSide == null)
             {
@@ -657,7 +659,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double
         /// </summary>
         /// <returns>The negated vector.</returns>
         /// <remarks>Added as an alternative to the unary negation operator.</remarks>
-        public override Vector Negate()
+        public override Vector<double> Negate()
         {
             var result = new DenseVector(Count);
             CommonParallel.For(
@@ -673,7 +675,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double
         /// </summary>
         /// <param name="scalar">The scalar to multiply.</param>
         /// <returns>A new vector that is the multiplication of the vector and the scalar.</returns>
-        public override Vector Multiply(double scalar)
+        public override Vector<double> Multiply(double scalar)
         {
             if (scalar == 1.0)
             {
@@ -692,7 +694,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double
         /// <returns>The result of the addition.</returns>
         /// <exception cref="ArgumentException">If <paramref name="other"/> is not of the same size.</exception>
         /// <exception cref="ArgumentNullException">If <paramref name="other"/> is <see langword="null" />.</exception>
-        public override double DotProduct(Vector other)
+        public override double DotProduct(Vector<double> other)
         {
             if (other == null)
             {
@@ -864,7 +866,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double
         /// <item>If <paramref name="index"/> + <paramref name="length"/> is greater than or equal to the size of the vector.</item>
         /// </list></exception>
         /// <exception cref="ArgumentException">If <paramref name="length"/> is not positive.</exception>
-        public override Vector SubVector(int index, int length)
+        public override Vector<double> SubVector(int index, int length)
         {
             if (index < 0 || index >= Count)
             {
@@ -991,7 +993,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double
         /// <returns>A new vector which is the pointwise multiplication of the two vectors.</returns>
         /// <exception cref="ArgumentNullException">If the other vector is <see langword="null" />.</exception> 
         /// <exception cref="ArgumentException">If this vector and <paramref name="other"/> are not the same size.</exception>
-        public override Vector PointwiseMultiply(Vector other)
+        public override Vector<double> PointwiseMultiply(Vector<double> other)
         {
             if (other == null)
             {
@@ -1027,7 +1029,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double
         /// <exception cref="ArgumentNullException">If the result vector is <see langword="null" />.</exception> 
         /// <exception cref="ArgumentException">If this vector and <paramref name="other"/> are not the same size.</exception>
         /// <exception cref="ArgumentException">If this vector and <paramref name="result"/> are not the same size.</exception>
-        public override void PointwiseMultiply(Vector other, Vector result)
+        public override void PointwiseMultiply(Vector<double> other, Vector<double> result)
         {
             if (result == null)
             {
@@ -1078,7 +1080,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double
         /// <returns>A new vector which is the pointwise division of the two vectors.</returns>
         /// <exception cref="ArgumentNullException">If the other vector is <see langword="null" />.</exception> 
         /// <exception cref="ArgumentException">If this vector and <paramref name="other"/> are not the same size.</exception>
-        public override Vector PointwiseDivide(Vector other)
+        public override Vector<double> PointwiseDivide(Vector<double> other)
         {
             if (other == null)
             {
@@ -1114,7 +1116,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double
         /// <exception cref="ArgumentNullException">If the result vector is <see langword="null" />.</exception> 
         /// <exception cref="ArgumentException">If this vector and <paramref name="other"/> are not the same size.</exception>
         /// <exception cref="ArgumentException">If this vector and <paramref name="result"/> are not the same size.</exception>
-        public override void PointwiseDivide(Vector other, Vector result)
+        public override void PointwiseDivide(Vector<double> other, Vector<double> result)
         {
             if (result == null)
             {
@@ -1202,7 +1204,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double
         /// to the specified random distribution.
         /// </returns>
         /// <exception cref="ArgumentNullException">If the n vector is non positive<see langword="null" />.</exception> 
-        public override Vector Random(int length, IContinuousDistribution randomDistribution)
+        public override Vector<double> Random(int length, IContinuousDistribution randomDistribution)
         {
             if (length < 1)
             {
@@ -1228,7 +1230,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double
         /// to the specified random distribution.
         /// </returns>
         /// <exception cref="ArgumentNullException">If the n vector is non positive<see langword="null" />.</exception> 
-        public override Vector Random(int length, IDiscreteDistribution randomDistribution)
+        public override Vector<double> Random(int length, IDiscreteDistribution randomDistribution)
         {
             if (length < 1)
             {
@@ -1252,7 +1254,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double
         /// Matrix M[i,j] = this[i] * v[j].
         /// </returns>
         /// <seealso cref="OuterProduct"/>
-        public Matrix TensorMultiply(DenseVector v)
+        public Matrix<double> TensorMultiply(DenseVector v)
         {
             return OuterProduct(this, v);
         }
@@ -1301,6 +1303,33 @@ namespace MathNet.Numerics.LinearAlgebra.Double
             return Math.Pow(sum, 1.0 / p);
         }
 
+        /// <summary>
+        /// Normalizes this vector to a unit vector with respect to the p-norm.
+        /// </summary>
+        /// <param name="p">
+        /// The p value.
+        /// </param>
+        /// <returns>
+        /// This vector normalized to a unit vector with respect to the p-norm.
+        /// </returns>
+        public override Vector<double> Normalize(double p)
+        {
+            if (p < 0.0)
+            {
+                throw new ArgumentOutOfRangeException("p");
+            }
+
+            var norm = Norm(p);
+            var clone = Clone();
+            if (norm == 0.0)
+            {
+                return clone;
+            }
+
+            clone.Multiply(1.0 / norm, clone);
+
+            return clone;
+        }
         #endregion
 
         #region Parse Functions
@@ -1469,5 +1498,71 @@ namespace MathNet.Numerics.LinearAlgebra.Double
         {
             Array.Clear(Data, 0, Data.Length);
         }
+
+        #region Simple arithmetic of type T
+        /// <summary>
+        /// Add two values T+T
+        /// </summary>
+        /// <param name="val1">Left operand value</param>
+        /// <param name="val2">Right operand value</param>
+        /// <returns>Result of addition</returns>
+        protected sealed override double AddT(double val1, double val2)
+        {
+            return val1 + val2;
+        }
+
+        /// <summary>
+        /// Subtract two values T-T
+        /// </summary>
+        /// <param name="val1">Left operand value</param>
+        /// <param name="val2">Right operand value</param>
+        /// <returns>Result of subtract</returns>
+        protected sealed override double SubtractT(double val1, double val2)
+        {
+            return val1 - val2;
+        }
+
+        /// <summary>
+        /// Multiply two values T*T
+        /// </summary>
+        /// <param name="val1">Left operand value</param>
+        /// <param name="val2">Right operand value</param>
+        /// <returns>Result of multiplication</returns>
+        protected sealed override double MultiplyT(double val1, double val2)
+        {
+            return val1 * val2;
+        }
+
+        /// <summary>
+        /// Divide two values T/T
+        /// </summary>
+        /// <param name="val1">Left operand value</param>
+        /// <param name="val2">Right operand value</param>
+        /// <returns>Result of divide</returns>
+        protected sealed override double DivideT(double val1, double val2)
+        {
+            return val1 / val2;
+        }
+
+        /// <summary>
+        /// Is equal to one?
+        /// </summary>
+        /// <param name="val1">Value to check</param>
+        /// <returns>True if one; otherwise false</returns>
+        protected sealed override bool IsOneT(double val1)
+        {
+            return val1 == 1.0;
+        }
+
+        /// <summary>
+        /// Take absolute value
+        /// </summary>
+        /// <param name="val1">Source alue</param>
+        /// <returns>True if one; otherwise false</returns>
+        protected sealed override double AbsoluteT(double val1)
+        {
+            return Math.Abs(val1);
+        }
+        #endregion
     }
 }

src/Numerics/LinearAlgebra/Double/DiagonalMatrix.cs

@@ -28,6 +28,9 @@ namespace MathNet.Numerics.LinearAlgebra.Double
 {
     using System;
     using System.Linq;
+    using System.Text;
+    using Distributions;
+    using Generic;
     using Properties;
     using Threading;
 
@@ -40,7 +43,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double
     /// entries are set. The exception to this is when the off diagonal elements are
     /// 0.0 or NaN; these settings will cause no change to the diagonal matrix.
     /// </remarks>
-    public class DiagonalMatrix : Matrix 
+    public class DiagonalMatrix : Matrix<double> 
     {
          /// <summary>
         /// Initializes a new instance of the <see cref="DiagonalMatrix"/> class. This matrix is square with a given size.
@@ -195,19 +198,19 @@ namespace MathNet.Numerics.LinearAlgebra.Double
         /// <returns>
         /// A <c>DiagonalMatrix</c> with the given dimensions.
         /// </returns>
-        public override Matrix CreateMatrix(int numberOfRows, int numberOfColumns)
+        public override Matrix<double> CreateMatrix(int numberOfRows, int numberOfColumns)
         {
             return new DiagonalMatrix(numberOfRows, numberOfColumns);
         }
 
         /// <summary>
-        /// Creates a <see cref="Vector"/> with a the given dimension.
+        /// Creates a <see cref="Vector{T}"/> with a the given dimension.
         /// </summary>
         /// <param name="size">The size of the vector.</param>
         /// <returns>
-        /// A <see cref="Vector"/> with the given dimension.
+        /// A <see cref="Vector{T}"/> with the given dimension.
         /// </returns>
-        public override Vector CreateVector(int size)
+        public override Vector<double> CreateVector(int size)
         {
             return new SparseVector(size);
         }
@@ -283,7 +286,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double
         /// <exception cref="ArgumentNullException">If the other matrix is <see langword="null" />.</exception>
         /// <exception cref="ArgumentOutOfRangeException">If the two matrices don't have the same dimensions.</exception>
         /// <exception cref="ArgumentException">If <paramref name="other"/> is not <see cref="DiagonalMatrix"/>.</exception>
-        public override void Add(Matrix other)
+        public override void Add(Matrix<double> other)
         {
             if (other == null)
             {
@@ -327,7 +330,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double
         /// <exception cref="ArgumentNullException">If the other matrix is <see langword="null" />.</exception>
         /// <exception cref="ArgumentOutOfRangeException">If the two matrices don't have the same dimensions.</exception>
         /// <exception cref="ArgumentException">If <paramref name="other"/> is not <see cref="DiagonalMatrix"/>.</exception>
-        public override void Subtract(Matrix other)
+        public override void Subtract(Matrix<double> other)
         {
             if (other == null)
             {
@@ -390,7 +393,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double
         }
 
         /// <summary>
-        /// Copies the values of the given <see cref="Vector"/> to the diagonal.
+        /// Copies the values of the given <see cref="Vector{T}"/> to the diagonal.
         /// </summary>
         /// <param name="source">The vector to copy the values from. The length of the vector should be
         /// Min(Rows, Columns).</param>
@@ -399,7 +402,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double
         /// equal Min(Rows, Columns).</exception>
         /// <remarks>For non-square matrices, the elements of <paramref name="source"/> are copied to
         /// this[i,i].</remarks>
-        public override void SetDiagonal(Vector source)
+        public override void SetDiagonal(Vector<double> source)
         {
             var denseSource = source as DenseVector;
             if (denseSource == null)
@@ -445,7 +448,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double
         /// <exception cref="ArgumentNullException">If the result matrix is <see langword="null" />.</exception>
         /// <exception cref="ArgumentException">If <strong>this.Columns != other.Rows</strong>.</exception>
         /// <exception cref="ArgumentException">If the result matrix's dimensions are not the this.Rows x other.Columns.</exception>
-        public override void Multiply(Matrix other, Matrix result)
+        public override void Multiply(Matrix<double> other, Matrix<double> result)
         {
             if (other == null)
             {
@@ -492,7 +495,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double
         /// <exception cref="ArgumentException">If <strong>this.Columns != other.Rows</strong>.</exception>        
         /// <exception cref="ArgumentNullException">If the other matrix is <see langword="null" />.</exception>
         /// <returns>The result of multiplication.</returns>
-        public override Matrix Multiply(Matrix other)
+        public override Matrix<double> Multiply(Matrix<double> other)
         {
             if (other == null)
             {
@@ -524,7 +527,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double
         /// <exception cref="ArgumentNullException">If <paramref name="result"/> is <see langword="null" />.</exception>
         /// <exception cref="ArgumentException">If <strong>result.Count != this.RowCount</strong>.</exception>
         /// <exception cref="ArgumentException">If <strong>this.ColumnCount != <paramref name="rightSide"/>.Count</strong>.</exception>
-        public override void Multiply(Vector rightSide, Vector result)
+        public override void Multiply(Vector<double> rightSide, Vector<double> result)
         {
             if (rightSide == null)
             {
@@ -574,7 +577,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double
         /// <exception cref="ArgumentNullException">If the result matrix is <see langword="null" />.</exception>
         /// <exception cref="ArgumentException">If <strong>result.Count != this.ColumnCount</strong>.</exception>
         /// <exception cref="ArgumentException">If <strong>this.RowCount != <paramref name="leftSide"/>.Count</strong>.</exception>
-        public override void LeftMultiply(Vector leftSide, Vector result)
+        public override void LeftMultiply(Vector<double> leftSide, Vector<double> result)
         {
             if (leftSide == null)
             {
@@ -635,7 +638,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double
         /// <returns>The elements of the diagonal.</returns>
         /// <remarks>For non-square matrices, the method returns Min(Rows, Columns) elements where
         /// i == j (i is the row index, and j is the column index).</remarks>
-        public override Vector Diagonal()
+        public override Vector<double> Diagonal()
         {
             // TODO: Should we return reference to array? In current implementation we return copy of array, so changes in DenseVector will
             // not influence onto diagonal elements
@@ -651,7 +654,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double
         /// <exception cref="ArgumentNullException">If the result matrix is <see langword="null" />.</exception>
         /// <exception cref="ArgumentException">If <strong>this.Columns != other.Rows</strong>.</exception>
         /// <exception cref="ArgumentException">If the result matrix's dimensions are not the this.Rows x other.Columns.</exception>
-        public override void TransposeAndMultiply(Matrix other, Matrix result)
+        public override void TransposeAndMultiply(Matrix<double> other, Matrix<double> result)
         {
             var otherDiagonal = other as DiagonalMatrix;
             var resultDiagonal = result as DiagonalMatrix;
@@ -672,7 +675,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double
         /// <exception cref="ArgumentException">If <strong>this.Columns != other.Rows</strong>.</exception>        
         /// <exception cref="ArgumentNullException">If the other matrix is <see langword="null" />.</exception>
         /// <returns>The result of multiplication.</returns>
-        public override Matrix TransposeAndMultiply(Matrix other)
+        public override Matrix<double> TransposeAndMultiply(Matrix<double> other)
         {
             var otherDiagonal = other as DiagonalMatrix;
             if (otherDiagonal == null)
@@ -732,7 +735,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double
         /// <exception cref="ArgumentException">
         /// If this and the target matrix do not have the same dimensions..
         /// </exception>
-        public override void CopyTo(Matrix target)
+        public override void CopyTo(Matrix<double> target)
         {
             var diagonalTarget = target as DiagonalMatrix;
 
@@ -759,7 +762,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double
         /// Returns the transpose of this matrix.
         /// </summary>        
         /// <returns>The transpose of this matrix.</returns>
-        public override Matrix Transpose()
+        public override Matrix<double> Transpose()
         {
             var ret = new DiagonalMatrix(ColumnCount, RowCount);
             Buffer.BlockCopy(Data, 0, ret.Data, 0, Data.Length * Constants.SizeOfDouble);
@@ -772,8 +775,8 @@ namespace MathNet.Numerics.LinearAlgebra.Double
         /// <param name="columnIndex">The column to copy elements from.</param>
         /// <param name="rowIndex">The row to start copying from.</param>
         /// <param name="length">The number of elements to copy.</param>
-        /// <param name="result">The <see cref="Vector"/> to copy the column into.</param>
+        /// <param name="result">The <see cref="Vector{T}"/> to copy the column into.</param>
-        /// <exception cref="ArgumentNullException">If the result <see cref="Vector"/> is <see langword="null" />.</exception>
+        /// <exception cref="ArgumentNullException">If the result <see cref="Vector{T}"/> is <see langword="null" />.</exception>
         /// <exception cref="ArgumentOutOfRangeException">If <paramref name="columnIndex"/> is negative,
         /// or greater than or equal to the number of columns.</exception>        
         /// <exception cref="ArgumentOutOfRangeException">If <paramref name="rowIndex"/> is negative,
@@ -782,7 +785,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double
         /// is greater than or equal to the number of rows.</exception>
         /// <exception cref="ArgumentException">If <paramref name="length"/> is not positive.</exception>
         /// <exception cref="ArgumentOutOfRangeException">If <strong>result.Count &lt; length</strong>.</exception>
-        public override void Column(int columnIndex, int rowIndex, int length, Vector result)
+        public override void Column(int columnIndex, int rowIndex, int length, Vector<double> result)
         {
             if (result == null)
             {
@@ -823,13 +826,13 @@ namespace MathNet.Numerics.LinearAlgebra.Double
         }
 
         /// <summary>
-        /// Copies the requested row elements into a new <see cref="Vector"/>.
+        /// Copies the requested row elements into a new <see cref="Vector{T}"/>.
         /// </summary>
         /// <param name="rowIndex">The row to copy elements from.</param>
         /// <param name="columnIndex">The column to start copying from.</param>
         /// <param name="length">The number of elements to copy.</param>
-        /// <param name="result">The <see cref="Vector"/> to copy the column into.</param>
+        /// <param name="result">The <see cref="Vector{T}"/> to copy the column into.</param>
-        /// <exception cref="ArgumentNullException">If the result <see cref="Vector"/> is <see langword="null" />.</exception>
+        /// <exception cref="ArgumentNullException">If the result <see cref="Vector{T}"/> is <see langword="null" />.</exception>
         /// <exception cref="ArgumentOutOfRangeException">If <paramref name="rowIndex"/> is negative,
         /// or greater than or equal to the number of columns.</exception>        
         /// <exception cref="ArgumentOutOfRangeException">If <paramref name="columnIndex"/> is negative,
@@ -838,7 +841,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double
         /// is greater than or equal to the number of rows.</exception>
         /// <exception cref="ArgumentException">If <paramref name="length"/> is not positive.</exception>
         /// <exception cref="ArgumentOutOfRangeException">If <strong>result.Count &lt; length</strong>.</exception>
-        public override void Row(int rowIndex, int columnIndex, int length, Vector result)
+        public override void Row(int rowIndex, int columnIndex, int length, Vector<double> result)
         {
             if (result == null)
             {
@@ -913,10 +916,10 @@ namespace MathNet.Numerics.LinearAlgebra.Double
         {
             var maxSv = double.NegativeInfinity;
             var minSv = double.PositiveInfinity;
-            for (var i = 0; i < Data.Length; i++)
+            foreach (var t in Data)
             {
-                maxSv = Math.Max(maxSv, Math.Abs(Data[i]));
+                maxSv = Math.Max(maxSv, Math.Abs(t));
-                minSv = Math.Min(minSv, Math.Abs(Data[i]));
+                minSv = Math.Min(minSv, Math.Abs(t));
             }
 
             return maxSv / minSv;
@@ -926,7 +929,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double
         /// <exception cref="ArgumentException">If <see cref="DiagonalMatrix"/> is not a square matrix.</exception>
         /// <exception cref="ArgumentException">If <see cref="DiagonalMatrix"/> is singular.</exception>
         /// <returns>The inverse of this matrix.</returns>
-        public override Matrix Inverse()
+        public override Matrix<double> Inverse()
         {
             if (RowCount != ColumnCount)
             {
@@ -953,7 +956,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double
         /// Returns a new matrix containing the lower triangle of this matrix.
         /// </summary>
         /// <returns>The lower triangle of this matrix.</returns>  
-        public override Matrix LowerTriangle()
+        public override Matrix<double> LowerTriangle()
         {
             return Clone();
         }
@@ -964,7 +967,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double
         /// <param name="result">Where to store the lower triangle.</param>
         /// <exception cref="ArgumentNullException">If <paramref name="result"/> is <see langword="null" />.</exception>
         /// <exception cref="ArgumentException">If the result matrix's dimensions are not the same as this matrix.</exception>
-        public override void LowerTriangle(Matrix result)
+        public override void LowerTriangle(Matrix<double> result)
         {
             if (result == null)
             {
@@ -993,7 +996,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double
         /// does not contain the diagonal elements of this matrix.
         /// </summary>
         /// <returns>The lower triangle of this matrix.</returns>
-        public override Matrix StrictlyLowerTriangle()
+        public override Matrix<double> StrictlyLowerTriangle()
         {
             return new DiagonalMatrix(RowCount, ColumnCount);
         }
@@ -1004,7 +1007,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double
         /// <param name="result">Where to store the lower triangle.</param>
         /// <exception cref="ArgumentNullException">If <paramref name="result"/> is <see langword="null" />.</exception>
         /// <exception cref="ArgumentException">If the result matrix's dimensions are not the same as this matrix.</exception>
-        public override void StrictlyLowerTriangle(Matrix result)
+        public override void StrictlyLowerTriangle(Matrix<double> result)
         {
             if (result == null)
             {
@@ -1023,7 +1026,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double
         /// Returns a new matrix containing the upper triangle of this matrix.
         /// </summary>
         /// <returns>The upper triangle of this matrix.</returns>   
-        public override Matrix UpperTriangle()
+        public override Matrix<double> UpperTriangle()
         {
             return Clone();
         }
@@ -1034,7 +1037,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double
         /// <param name="result">Where to store the lower triangle.</param>
         /// <exception cref="ArgumentNullException">If <paramref name="result"/> is <see langword="null" />.</exception>
         /// <exception cref="ArgumentException">If the result matrix's dimensions are not the same as this matrix.</exception>
-        public override void UpperTriangle(Matrix result)
+        public override void UpperTriangle(Matrix<double> result)
         {
             if (result == null)
             {
@@ -1058,7 +1061,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double
         /// does not contain the diagonal elements of this matrix.
         /// </summary>
         /// <returns>The upper triangle of this matrix.</returns>
-        public override Matrix StrictlyUpperTriangle()
+        public override Matrix<double> StrictlyUpperTriangle()
         {
             return new DiagonalMatrix(RowCount, ColumnCount);
         }
@@ -1069,7 +1072,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double
         /// <param name="result">Where to store the lower triangle.</param>
         /// <exception cref="ArgumentNullException">If <paramref name="result"/> is <see langword="null" />.</exception>
         /// <exception cref="ArgumentException">If the result matrix's dimensions are not the same as this matrix.</exception>
-        public override void StrictlyUpperTriangle(Matrix result)
+        public override void StrictlyUpperTriangle(Matrix<double> result)
         {
             if (result == null)
             {
@@ -1100,7 +1103,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double
         /// <item><c>(rowIndex + rowLength) &gt;= Rows</c></item></list></exception>        
         /// <exception cref="ArgumentException">If <paramref name="rowLength"/> or <paramref name="columnLength"/>
         /// is not positive.</exception>
-        public override Matrix SubMatrix(int rowIndex, int rowLength, int columnIndex, int columnLength)
+        public override Matrix<double> SubMatrix(int rowIndex, int rowLength, int columnIndex, int columnLength)
         {
             if (rowIndex >= RowCount || rowIndex < 0)
             {
@@ -1186,7 +1189,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double
         /// <exception cref="ArgumentNullException">If <paramref name="column "/> is <see langword="null" />. </exception>
         /// <exception cref="ArgumentOutOfRangeException">If <paramref name="columnIndex"/> is &lt; zero or &gt; the number of columns.</exception>
         /// <exception cref="ArgumentException">If the size of <paramref name="column"/> != the number of rows.</exception>
-        public override Matrix InsertColumn(int columnIndex, Vector column)
+        public override Matrix<double> InsertColumn(int columnIndex, Vector<double> column)
         {
             if (column == null)
             {
@@ -1229,7 +1232,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double
         /// <exception cref="ArgumentNullException">If <paramref name="row"/> is <see langword="null" />. </exception>
         /// <exception cref="ArgumentOutOfRangeException">If <paramref name="rowIndex"/> is &lt; zero or &gt; the number of rows.</exception>
         /// <exception cref="ArgumentException">If the size of <paramref name="row"/> != the number of columns.</exception>
-        public override Matrix InsertRow(int rowIndex, Vector row)
+        public override Matrix<double> InsertRow(int rowIndex, Vector<double> row)
         {
             if (row == null)
             {
@@ -1270,7 +1273,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double
         /// <returns>The combined <see cref="SparseMatrix"/>.</returns>
         /// <exception cref="ArgumentNullException">If lower is <see langword="null" />.</exception>
         /// <exception cref="ArgumentException">If <strong>upper.Columns != lower.Columns</strong>.</exception>
-        public override Matrix Stack(Matrix lower)
+        public override Matrix<double> Stack(Matrix<double> lower)
         {
             if (lower == null)
             {
@@ -1294,7 +1297,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double
         /// <param name="result">The combined <see cref="SparseMatrix"/>.</param>
         /// <exception cref="ArgumentNullException">If lower is <see langword="null" />.</exception>
         /// <exception cref="ArgumentException">If <strong>upper.Columns != lower.Columns</strong>.</exception>
-        public override void Stack(Matrix lower, Matrix result)
+        public override void Stack(Matrix<double> lower, Matrix<double> result)
         {
             if (lower == null)
             {
@@ -1340,7 +1343,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double
         /// </summary>
         /// <param name="right">The matrix to concatenate.</param>
         /// <returns>The combined <see cref="SparseMatrix"/>.</returns>
-        public override Matrix Append(Matrix right)
+        public override Matrix<double> Append(Matrix<double> right)
         {
             if (right == null)
             {
@@ -1362,7 +1365,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double
         /// </summary>
         /// <param name="right">The matrix to concatenate.</param>
         /// <param name="result">The combined <see cref="SparseMatrix"/>.</param>
-        public override void Append(Matrix right, Matrix result)
+        public override void Append(Matrix<double> right, Matrix<double> result)
         {
             if (right == null)
             {
@@ -1411,7 +1414,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double
         /// <param name="lower">The lower, right matrix.</param>
         /// <exception cref="ArgumentNullException">If lower is <see langword="null" />.</exception>
         /// <returns>the combined matrix</returns>
-        public override Matrix DiagonalStack(Matrix lower)
+        public override Matrix<double> DiagonalStack(Matrix<double> lower)
         {
             if (lower == null)
             {
@@ -1431,7 +1434,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double
         /// <exception cref="ArgumentNullException">If lower is <see langword="null" />.</exception>
         /// <exception cref="ArgumentNullException">If the result matrix is <see langword="null" />.</exception>
         /// <exception cref="ArgumentException">If the result matrix's dimensions are not (this.Rows + lower.rows) x (this.Columns + lower.Columns).</exception>
-        public override void DiagonalStack(Matrix lower, Matrix result)
+        public override void DiagonalStack(Matrix<double> lower, Matrix<double> result)
         {
             if (lower == null)
             {
@@ -1470,7 +1473,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double
         /// <exception cref="ArgumentNullException">If the result matrix is <see langword="null" />.</exception> 
         /// <exception cref="ArgumentException">If this matrix and <paramref name="other"/> are not the same size.</exception>
         /// <exception cref="ArgumentException">If this matrix and <paramref name="result"/> are not the same size.</exception>
-        public override void PointwiseMultiply(Matrix other, Matrix result)
+        public override void PointwiseMultiply(Matrix<double> other, Matrix<double> result)
         {
             if (other == null)
             {
@@ -1548,5 +1551,191 @@ namespace MathNet.Numerics.LinearAlgebra.Double
         }
 
         #endregion
+
+        /// <summary>
+        /// Negates each element of this matrix.
+        /// </summary>        
+        public override void Negate()
+        {
+            Multiply(-1);
+        }
+
+        /// <summary>
+        /// Generates matrix with random elements.
+        /// </summary>
+        /// <param name="numberOfRows">Number of rows.</param>
+        /// <param name="numberOfColumns">Number of columns.</param>
+        /// <param name="distribution">Continuous Random Distribution or Source</param>
+        /// <returns>
+        /// An <c>numberOfRows</c>-by-<c>numberOfColumns</c> matrix with elements distributed according to the provided distribution.
+        /// </returns>
+        /// <exception cref="ArgumentException">If the parameter <paramref name="numberOfRows"/> is not positive.</exception>
+        /// <exception cref="ArgumentException">If the parameter <paramref name="numberOfColumns"/> is not positive.</exception>
+        public override Matrix<double> Random(int numberOfRows, int numberOfColumns, IContinuousDistribution distribution)
+        {
+            if (numberOfRows < 1)
+            {
+                throw new ArgumentException(Resources.ArgumentMustBePositive, "numberOfRows");
+            }
+
+            if (numberOfColumns < 1)
+            {
+                throw new ArgumentException(Resources.ArgumentMustBePositive, "numberOfColumns");
+            }
+
+            var matrix = CreateMatrix(numberOfRows, numberOfColumns);
+            CommonParallel.For(
+                0,
+                ColumnCount,
+                j =>
+                {
+                    for (var i = 0; i < matrix.RowCount; i++)
+                    {
+                        matrix[i, j] = distribution.Sample();
+                    }
+                });
+
+            return matrix;
+        }
+
+        /// <summary>
+        /// Generates matrix with random elements.
+        /// </summary>
+        /// <param name="numberOfRows">Number of rows.</param>
+        /// <param name="numberOfColumns">Number of columns.</param>
+        /// <param name="distribution">Continuous Random Distribution or Source</param>
+        /// <returns>
+        /// An <c>numberOfRows</c>-by-<c>numberOfColumns</c> matrix with elements distributed according to the provided distribution.
+        /// </returns>
+        /// <exception cref="ArgumentException">If the parameter <paramref name="numberOfRows"/> is not positive.</exception>
+        /// <exception cref="ArgumentException">If the parameter <paramref name="numberOfColumns"/> is not positive.</exception>
+        public override Matrix<double> Random(int numberOfRows, int numberOfColumns, IDiscreteDistribution distribution)
+        {
+            if (numberOfRows < 1)
+            {
+                throw new ArgumentException(Resources.ArgumentMustBePositive, "numberOfRows");
+            }
+
+            if (numberOfColumns < 1)
+            {
+                throw new ArgumentException(Resources.ArgumentMustBePositive, "numberOfColumns");
+            }
+
+            var matrix = CreateMatrix(numberOfRows, numberOfColumns);
+            CommonParallel.For(
+                0,
+                ColumnCount,
+                j =>
+                {
+                    for (var i = 0; i < matrix.RowCount; i++)
+                    {
+                        matrix[i, j] = distribution.Sample();
+                    }
+                });
+
+            return matrix;
+        }
+
+        /// <summary>
+        /// Returns a <see cref="System.String"/> that represents this instance.
+        /// </summary>
+        /// <param name="format">
+        /// The format to use.
+        /// </param>
+        /// <param name="formatProvider">
+        /// The format provider to use.
+        /// </param>
+        /// <returns>
+        /// A <see cref="System.String"/> that represents this instance.
+        /// </returns>
+        public override string ToString(string format, IFormatProvider formatProvider)
+        {
+            var stringBuilder = new StringBuilder();
+            for (var row = 0; row < RowCount; row++)
+            {
+                for (var column = 0; column < ColumnCount; column++)
+                {
+                    stringBuilder.Append(At(row, column).ToString(format, formatProvider));
+                    if (column != ColumnCount - 1)
+                    {
+                        stringBuilder.Append(formatProvider.GetTextInfo().ListSeparator);
+                    }
+                }
+
+                if (row != RowCount - 1)
+                {
+                    stringBuilder.Append(Environment.NewLine);
+                }
+            }
+
+            return stringBuilder.ToString();
+        }
+
+        #region Simple arithmetic of type T
+        /// <summary>
+        /// Add two values T+T
+        /// </summary>
+        /// <param name="val1">Left operand value</param>
+        /// <param name="val2">Right operand value</param>
+        /// <returns>Result of addition</returns>
+        protected sealed override double AddT(double val1, double val2)
+        {
+            return val1 + val2;
+        }
+
+        /// <summary>
+        /// Subtract two values T-T
+        /// </summary>
+        /// <param name="val1">Left operand value</param>
+        /// <param name="val2">Right operand value</param>
+        /// <returns>Result of subtract</returns>
+        protected sealed override double SubtractT(double val1, double val2)
+        {
+            return val1 - val2;
+        }
+
+        /// <summary>
+        /// Multiply two values T*T
+        /// </summary>
+        /// <param name="val1">Left operand value</param>
+        /// <param name="val2">Right operand value</param>
+        /// <returns>Result of multiplication</returns>
+        protected sealed override double MultiplyT(double val1, double val2)
+        {
+            return val1 * val2;
+        }
+
+        /// <summary>
+        /// Divide two values T/T
+        /// </summary>
+        /// <param name="val1">Left operand value</param>
+        /// <param name="val2">Right operand value</param>
+        /// <returns>Result of divide</returns>
+        protected sealed override double DivideT(double val1, double val2)
+        {
+            return val1 / val2;
+        }
+
+        /// <summary>
+        /// Is equal to one?
+        /// </summary>
+        /// <param name="val1">Value to check</param>
+        /// <returns>True if one; otherwise false</returns>
+        protected sealed override bool IsOneT(double val1)
+        {
+            return 1.0.AlmostEqualInDecimalPlaces(val1, 15);
+        }
+
+        /// <summary>
+        /// Take absolute value
+        /// </summary>
+        /// <param name="val1">Source alue</param>
+        /// <returns>True if one; otherwise false</returns>
+        protected sealed override double AbsoluteT(double val1)
+        {
+            return Math.Abs(val1);
+        }
+
+        #endregion  
     }
 }

src/Numerics/LinearAlgebra/Double/Factorization/DenseCholesky.cs

@@ -31,6 +31,8 @@
 namespace MathNet.Numerics.LinearAlgebra.Double.Factorization
 {
     using System;
+    using Generic;
+    using Generic.Factorization;
     using Properties;
 
     /// <summary>
@@ -42,7 +44,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double.Factorization
     /// The computation of the Cholesky factorization is done at construction time. If the matrix is not symmetric
     /// or positive definite, the constructor will throw an exception.
     /// </remarks>
-    public class DenseCholesky : Cholesky
+    public class DenseCholesky : Cholesky<double>
     {
         /// <summary>
         /// Initializes a new instance of the <see cref="DenseCholesky"/> class. This object will compute the
@@ -73,9 +75,9 @@ namespace MathNet.Numerics.LinearAlgebra.Double.Factorization
         /// <summary>
         /// Solves a system of linear equations, <b>AX = B</b>, with A Cholesky factorized.
         /// </summary>
-        /// <param name="input">The right hand side <see cref="Matrix"/>, <b>B</b>.</param>
+        /// <param name="input">The right hand side <see cref="Matrix{T}"/>, <b>B</b>.</param>
-        /// <param name="result">The left hand side <see cref="Matrix"/>, <b>X</b>.</param>
+        /// <param name="result">The left hand side <see cref="Matrix{T}"/>, <b>X</b>.</param>
-        public override void Solve(Matrix input, Matrix result)
+        public override void Solve(Matrix<double> input, Matrix<double> result)
         {
             // Check for proper arguments.
             if (input == null)
@@ -128,8 +130,8 @@ namespace MathNet.Numerics.LinearAlgebra.Double.Factorization
         /// Solves a system of linear equations, <b>Ax = b</b>, with A Cholesky factorized.
         /// </summary>
         /// <param name="input">The right hand side vector, <b>b</b>.</param>
-        /// <param name="result">The left hand side <see cref="Matrix"/>, <b>x</b>.</param>
+        /// <param name="result">The left hand side <see cref="Matrix{T}"/>, <b>x</b>.</param>
-        public override void Solve(Vector input, Vector result)
+        public override void Solve(Vector<double> input, Vector<double> result)
         {
             // Check for proper arguments.
             if (input == null)
@@ -172,5 +174,38 @@ namespace MathNet.Numerics.LinearAlgebra.Double.Factorization
             var dfactor = (DenseMatrix)CholeskyFactor;
             Control.LinearAlgebraProvider.CholeskySolveFactored(dfactor.Data, dfactor.RowCount, dresult.Data, dresult.Count, 1);
         }
+
+        #region Simple arithmetic of type T
+
+        /// <summary>
+        /// Multiply two values T*T
+        /// </summary>
+        /// <param name="val1">Left operand value</param>
+        /// <param name="val2">Right operand value</param>
+        /// <returns>Result of multiplication</returns>
+        protected sealed override double MultiplyT(double val1, double val2)
+        {
+            return val1 * val2;
+        }
+
+        /// <summary>
+        /// Returns the natural (base e) logarithm of a specified number.
+        /// </summary>
+        /// <param name="val1"> A number whose logarithm is to be found</param>
+        /// <returns>Natural (base e) logarithm </returns>
+        protected sealed override double LogT(double val1)
+        {
+            return Math.Log(val1);
+        }
+
+        /// <summary>
+        /// Get value of type T equal to one
+        /// </summary>
+        /// <returns>One value</returns>
+        protected sealed override double OneValueT
+        {
+            get { return 1.0; }
+        }
+        #endregion
     }
 }

src/Numerics/LinearAlgebra/Double/Factorization/DenseLU.cs

@@ -31,6 +31,8 @@
 namespace MathNet.Numerics.LinearAlgebra.Double.Factorization
 {
     using System;
+    using Generic;
+    using Generic.Factorization;
     using Properties;
 
     /// <summary>
@@ -41,7 +43,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double.Factorization
     /// <remarks>
     /// The computation of the LU factorization is done at construction time.
     /// </remarks>
-    public class DenseLU : LU
+    public class DenseLU : LU<double>
     {
         /// <summary>
         /// Initializes a new instance of the <see cref="DenseLU"/> class. This object will compute the
@@ -74,9 +76,9 @@ namespace MathNet.Numerics.LinearAlgebra.Double.Factorization
         /// <summary>
         /// Solves a system of linear equations, <c>AX = B</c>, with A LU factorized.
         /// </summary>
-        /// <param name="input">The right hand side <see cref="Matrix"/>, <c>B</c>.</param>
+        /// <param name="input">The right hand side <see cref="Matrix{T}"/>, <c>B</c>.</param>
-        /// <param name="result">The left hand side <see cref="Matrix"/>, <c>X</c>.</param>
+        /// <param name="result">The left hand side <see cref="Matrix{T}"/>, <c>X</c>.</param>
-        public override void Solve(Matrix input, Matrix result)
+        public override void Solve(Matrix<double> input, Matrix<double> result)
         {
             // Check for proper arguments.
             if (input == null)
@@ -129,8 +131,8 @@ namespace MathNet.Numerics.LinearAlgebra.Double.Factorization
         /// Solves a system of linear equations, <c>Ax = b</c>, with A LU factorized.
         /// </summary>
         /// <param name="input">The right hand side vector, <c>b</c>.</param>
-        /// <param name="result">The left hand side <see cref="Matrix"/>, <c>x</c>.</param>
+        /// <param name="result">The left hand side <see cref="Matrix{T}"/>, <c>x</c>.</param>
-        public override void Solve(Vector input, Vector result)
+        public override void Solve(Vector<double> input, Vector<double> result)
         {
             // Check for proper arguments.
             if (input == null)
@@ -178,11 +180,43 @@ namespace MathNet.Numerics.LinearAlgebra.Double.Factorization
         /// Returns the inverse of this matrix. The inverse is calculated using LU decomposition.
         /// </summary>
         /// <returns>The inverse of this matrix.</returns>
-        public override Matrix Inverse()
+        public override Matrix<double> Inverse()
         {
             var result = (DenseMatrix)Factors.Clone();
             Control.LinearAlgebraProvider.LUInverseFactored(result.Data, result.RowCount, Pivots);
             return result;
         }
+
+        #region Simple arithmetic of type T
+
+        /// <summary>
+        /// Multiply two values T*T
+        /// </summary>
+        /// <param name="val1">Left operand value</param>
+        /// <param name="val2">Right operand value</param>
+        /// <returns>Result of multiplication</returns>
+        protected sealed override double MultiplyT(double val1, double val2)
+        {
+            return val1 * val2;
+        }
+
+        /// <summary>
+        /// Get value of type T equal to one
+        /// </summary>
+        /// <returns>One value</returns>
+        protected sealed override double OneValueT
+        {
+            get { return 1.0; }
+        }
+
+        /// <summary>
+        /// Get value of type T equal to minus one
+        /// </summary>
+        /// <returns>One value</returns>
+        protected sealed override double MinusOneValueT
+        {
+            get { return -1.0; }
+        }
+        #endregion
     }
 }

src/Numerics/LinearAlgebra/Double/Factorization/DenseQR.cs

@@ -31,6 +31,8 @@
 namespace MathNet.Numerics.LinearAlgebra.Double.Factorization
 {
     using System;
+    using Generic;
+    using Generic.Factorization;
     using Properties;
 
     /// <summary>
@@ -42,7 +44,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double.Factorization
     /// <remarks>
     /// The computation of the QR decomposition is done at construction time by Householder transformation.
     /// </remarks>
-    public class DenseQR : QR
+    public class DenseQR : QR<double>
     {
         /// <summary>
         /// Initializes a new instance of the <see cref="DenseQR"/> class. This object will compute the
@@ -71,9 +73,9 @@ namespace MathNet.Numerics.LinearAlgebra.Double.Factorization
         /// <summary>
         /// Solves a system of linear equations, <b>AX = B</b>, with A QR factorized.
         /// </summary>
-        /// <param name="input">The right hand side <see cref="Matrix"/>, <b>B</b>.</param>
+        /// <param name="input">The right hand side <see cref="Matrix{T}"/>, <b>B</b>.</param>
-        /// <param name="result">The left hand side <see cref="Matrix"/>, <b>X</b>.</param>
+        /// <param name="result">The left hand side <see cref="Matrix{T}"/>, <b>X</b>.</param>
-        public override void Solve(Matrix input, Matrix result)
+        public override void Solve(Matrix<double> input, Matrix<double> result)
         {
             // Check for proper arguments.
             if (input == null)
@@ -123,8 +125,8 @@ namespace MathNet.Numerics.LinearAlgebra.Double.Factorization
         /// Solves a system of linear equations, <b>Ax = b</b>, with A QR factorized.
         /// </summary>
         /// <param name="input">The right hand side vector, <b>b</b>.</param>
-        /// <param name="result">The left hand side <see cref="Matrix"/>, <b>x</b>.</param>
+        /// <param name="result">The left hand side <see cref="Matrix{T}"/>, <b>x</b>.</param>
-        public override void Solve(Vector input, Vector result)
+        public override void Solve(Vector<double> input, Vector<double> result)
         {
             if (input == null)
             {
@@ -163,5 +165,38 @@ namespace MathNet.Numerics.LinearAlgebra.Double.Factorization
 
             Control.LinearAlgebraProvider.QRSolveFactored(((DenseMatrix)MatrixQ).Data, ((DenseMatrix)MatrixR).Data, MatrixR.RowCount, MatrixR.ColumnCount, dinput.Data, 1, dresult.Data);
         }
+
+        #region Simple arithmetic of type T
+
+        /// <summary>
+        /// Multiply two values T*T
+        /// </summary>
+        /// <param name="val1">Left operand value</param>
+        /// <param name="val2">Right operand value</param>
+        /// <returns>Result of multiplication</returns>
+        protected sealed override double MultiplyT(double val1, double val2)
+        {
+            return val1 * val2;
+        }
+
+        /// <summary>
+        /// Returns the absolute value of a specified number.
+        /// </summary>
+        /// <param name="val1"> A number whose absolute is to be found</param>
+        /// <returns>Absolute value </returns>
+        protected sealed override double AbsoluteT(double val1)
+        {
+            return Math.Abs(val1);
+        }
+
+        /// <summary>
+        /// Get value of type T equal to one
+        /// </summary>
+        /// <returns>One value</returns>
+        protected sealed override double OneValueT
+        {
+            get { return 1.0; }
+        }
+        #endregion
     }
 }

src/Numerics/LinearAlgebra/Double/Factorization/DenseSvd.cs

@@ -30,6 +30,8 @@
 namespace MathNet.Numerics.LinearAlgebra.Double.Factorization
 {
     using System;
+    using Generic;
+    using Generic.Factorization;
     using Properties;
 
     /// <summary>
@@ -46,7 +48,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double.Factorization
     /// <remarks>
     /// The computation of the singular value decomposition is done at construction time.
     /// </remarks>
-    public class DenseSvd : Svd
+    public class DenseSvd : Svd<double>
     {
         /// <summary>
         /// Initializes a new instance of the <see cref="DenseSvd"/> class. This object will compute the
@@ -74,9 +76,9 @@ namespace MathNet.Numerics.LinearAlgebra.Double.Factorization
         /// <summary>
         /// Solves a system of linear equations, <b>AX = B</b>, with A SVD factorized.
         /// </summary>
-        /// <param name="input">The right hand side <see cref="Matrix"/>, <b>B</b>.</param>
+        /// <param name="input">The right hand side <see cref="Matrix{T}"/>, <b>B</b>.</param>
-        /// <param name="result">The left hand side <see cref="Matrix"/>, <b>X</b>.</param>
+        /// <param name="result">The left hand side <see cref="Matrix{T}"/>, <b>X</b>.</param>
-        public override void Solve(Matrix input, Matrix result)
+        public override void Solve(Matrix<double> input, Matrix<double> result)
         {
             // Check for proper arguments.
             if (input == null)
@@ -131,8 +133,8 @@ namespace MathNet.Numerics.LinearAlgebra.Double.Factorization
         /// Solves a system of linear equations, <b>Ax = b</b>, with A SVD factorized.
         /// </summary>
         /// <param name="input">The right hand side vector, <b>b</b>.</param>
-        /// <param name="result">The left hand side <see cref="Matrix"/>, <b>x</b>.</param>
+        /// <param name="result">The left hand side <see cref="Matrix{T}"/>, <b>x</b>.</param>
-        public override void Solve(Vector input, Vector result)
+        public override void Solve(Vector<double> input, Vector<double> result)
         {
             if (input == null)
             {
@@ -176,5 +178,39 @@ namespace MathNet.Numerics.LinearAlgebra.Double.Factorization
 
             Control.LinearAlgebraProvider.SvdSolveFactored(MatrixU.RowCount, MatrixVT.ColumnCount, ((DenseVector)VectorS).Data, ((DenseMatrix)MatrixU).Data, ((DenseMatrix)MatrixVT).Data, dinput.Data, 1, dresult.Data);
         }
+
+        #region Simple arithmetic of type T
+
+        /// <summary>
+        /// Multiply two values T*T
+        /// </summary>
+        /// <param name="val1">Left operand value</param>
+        /// <param name="val2">Right operand value</param>
+        /// <returns>Result of multiplication</returns>
+        protected sealed override double MultiplyT(double val1, double val2)
+        {
+            return val1 * val2;
+        }
+
+        /// <summary>
+        /// Returns the absolute value of a specified number.
+        /// </summary>
+        /// <param name="val1"> A number whose absolute is to be found</param>
+        /// <returns>Absolute value </returns>
+        protected sealed override double AbsoluteT(double val1)
+        {
+            return Math.Abs(val1);
+        }
+
+        /// <summary>
+        /// Get value of type T equal to one
+        /// </summary>
+        /// <returns>One value</returns>
+        protected sealed override double OneValueT
+        {
+            get { return 1.0; }
+        }
+
+        #endregion
     }
 }

src/Numerics/LinearAlgebra/Double/Factorization/ExtensionMethods.cs

@@ -30,6 +30,9 @@
 
 namespace MathNet.Numerics.LinearAlgebra.Double.Factorization
 {
+    using Generic;
+    using Generic.Factorization;
+
     /// <summary>
     /// Extension methods which return factorizations for the various matrix classes.
     /// </summary>
@@ -40,9 +43,9 @@ namespace MathNet.Numerics.LinearAlgebra.Double.Factorization
         /// </summary>
         /// <param name="matrix">The matrix to factor.</param>
         /// <returns>The Cholesky decomposition object.</returns>
-        public static Cholesky Cholesky(this Matrix matrix)
+        public static Cholesky<double> Cholesky(this Matrix<double> matrix)
         {
-            return Factorization.Cholesky.Create(matrix);
+            return Cholesky<double>.Create(matrix);
         }
 
         /// <summary>
@@ -50,9 +53,9 @@ namespace MathNet.Numerics.LinearAlgebra.Double.Factorization
         /// </summary>
         /// <param name="matrix">The matrix to factor.</param>
         /// <returns>The LU decomposition object.</returns>
-        public static LU LU(this Matrix matrix)
+        public static LU<double> LU(this Matrix<double> matrix)
         {
-            return Factorization.LU.Create(matrix);
+            return LU<double>.Create(matrix);
         }
 
         /// <summary>
@@ -60,9 +63,9 @@ namespace MathNet.Numerics.LinearAlgebra.Double.Factorization
         /// </summary>
         /// <param name="matrix">The matrix to factor.</param>
         /// <returns>The QR decomposition object.</returns>
-        public static QR QR(this Matrix matrix)
+        public static QR<double> QR(this Matrix<double> matrix)
         {
-            return Factorization.QR.Create(matrix);
+            return QR<double>.Create(matrix);
         }
 
         /// <summary>
@@ -70,7 +73,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double.Factorization
         /// </summary>
         /// <param name="matrix">The matrix to factor.</param>
         /// <returns>The QR decomposition object.</returns>
-        public static GramSchmidt GramSchmidt(this Matrix matrix)
+        public static GramSchmidt GramSchmidt(this Matrix<double> matrix)
         {
             // NOTE: There is no factory for GramSchmidt. Use constructor of GramSchmidt class.
             return new GramSchmidt(matrix);
@@ -82,9 +85,9 @@ namespace MathNet.Numerics.LinearAlgebra.Double.Factorization
         /// <param name="matrix">The matrix to factor.</param>
         /// <param name="computeVectors">Compute the singular U and VT vectors or not.</param>
         /// <returns>The QR decomposition object.</returns>
-        public static Svd Svd(this Matrix matrix, bool computeVectors)
+        public static Svd<double> Svd(this Matrix<double> matrix, bool computeVectors)
         {
-            return Factorization.Svd.Create(matrix, computeVectors);
+            return Svd<double>.Create(matrix, computeVectors);
         }
     }
 }

src/Numerics/LinearAlgebra/Double/Factorization/GramSchmidt.cs

@@ -31,6 +31,8 @@
 namespace MathNet.Numerics.LinearAlgebra.Double.Factorization
 {
     using System;
+    using Generic;
+    using Generic.Factorization;
     using Properties;
 
     /// <summary>
@@ -40,7 +42,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double.Factorization
     /// <remarks>
     /// The computation of the QR decomposition is done at construction time by modified Gram-Schmidt Orthogonalization.
     /// </remarks>
-    public class GramSchmidt : QR
+    public class GramSchmidt : QR<double>
     {
         /// <summary>
         /// Initializes a new instance of the <see cref="GramSchmidt"/> class. This object creates an orthogonal matrix 
@@ -50,7 +52,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double.Factorization
         /// <exception cref="ArgumentNullException">If <paramref name="matrix"/> is <c>null</c>.</exception>
         /// <exception cref="ArgumentException">If <paramref name="matrix"/> row count is less then column count</exception>
         /// <exception cref="ArgumentException">If <paramref name="matrix"/> is rank deficient</exception>
-        public GramSchmidt(Matrix matrix)
+        public GramSchmidt(Matrix<double> matrix)
         {
             if (matrix == null)
             {
@@ -133,9 +135,9 @@ namespace MathNet.Numerics.LinearAlgebra.Double.Factorization
         /// <summary>
         /// Solves a system of linear equations, <b>AX = B</b>, with A QR factorized.
         /// </summary>
-        /// <param name="input">The right hand side <see cref="Matrix"/>, <b>B</b>.</param>
+        /// <param name="input">The right hand side <see cref="Matrix{T}"/>, <b>B</b>.</param>
-        /// <param name="result">The left hand side <see cref="Matrix"/>, <b>X</b>.</param>
+        /// <param name="result">The left hand side <see cref="Matrix{T}"/>, <b>X</b>.</param>
-        public override void Solve(Matrix input, Matrix result)
+        public override void Solve(Matrix<double> input, Matrix<double> result)
         {
             // Check for proper arguments.
             if (input == null)
@@ -219,8 +221,8 @@ namespace MathNet.Numerics.LinearAlgebra.Double.Factorization
         /// Solves a system of linear equations, <b>Ax = b</b>, with A QR factorized.
         /// </summary>
         /// <param name="input">The right hand side vector, <b>b</b>.</param>
-        /// <param name="result">The left hand side <see cref="Matrix"/>, <b>x</b>.</param>
+        /// <param name="result">The left hand side <see cref="Matrix{T}"/>, <b>x</b>.</param>
-        public override void Solve(Vector input, Vector result)
+        public override void Solve(Vector<double> input, Vector<double> result)
         {
             if (input == null)
             {
@@ -280,5 +282,38 @@ namespace MathNet.Numerics.LinearAlgebra.Double.Factorization
                 result[i] = inputCopy[i];
             }
         }
+
+        #region Simple arithmetic of type T
+
+        /// <summary>
+        /// Multiply two values T*T
+        /// </summary>
+        /// <param name="val1">Left operand value</param>
+        /// <param name="val2">Right operand value</param>
+        /// <returns>Result of multiplication</returns>
+        protected sealed override double MultiplyT(double val1, double val2)
+        {
+            return val1 * val2;
+        }
+
+        /// <summary>
+        /// Returns the absolute value of a specified number.
+        /// </summary>
+        /// <param name="val1"> A number whose absolute is to be found</param>
+        /// <returns>Absolute value </returns>
+        protected sealed override double AbsoluteT(double val1)
+        {
+            return Math.Abs(val1);
+        }
+
+        /// <summary>
+        /// Get value of type T equal to one
+        /// </summary>
+        /// <returns>One value</returns>
+        protected sealed override double OneValueT
+        {
+            get { return 1.0; }
+        }
+        #endregion
     }
 }

src/Numerics/LinearAlgebra/Double/Factorization/SparseCholesky.cs

@@ -31,6 +31,8 @@
 namespace MathNet.Numerics.LinearAlgebra.Double.Factorization
 {
     using System;
+    using Generic;
+    using Generic.Factorization;
     using Properties;
 
     /// <summary>
@@ -42,7 +44,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double.Factorization
     /// The computation of the Cholesky factorization is done at construction time. If the matrix is not symmetric
     /// or positive definite, the constructor will throw an exception.
     /// </remarks>
-    public class SparseCholesky : Cholesky
+    public class SparseCholesky : Cholesky<double>
     {
         /// <summary>
         /// Initializes a new instance of the <see cref="SparseCholesky"/> class. This object will compute the
@@ -52,7 +54,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double.Factorization
         /// <exception cref="ArgumentNullException">If <paramref name="matrix"/> is <c>null</c>.</exception>
         /// <exception cref="ArgumentException">If <paramref name="matrix"/> is not a square matrix.</exception>
         /// <exception cref="ArgumentException">If <paramref name="matrix"/> is not positive definite.</exception>
-        public SparseCholesky(Matrix matrix)
+        public SparseCholesky(Matrix<double> matrix)
         {
             if (matrix == null)
             {
@@ -96,13 +98,12 @@ namespace MathNet.Numerics.LinearAlgebra.Double.Factorization
             }
         }
 
-
         /// <summary>
         /// Solves a system of linear equations, <b>AX = B</b>, with A Cholesky factorized.
         /// </summary>
-        /// <param name="input">The right hand side <see cref="Matrix"/>, <b>B</b>.</param>
+        /// <param name="input">The right hand side <see cref="Matrix{T}"/>, <b>B</b>.</param>
-        /// <param name="result">The left hand side <see cref="Matrix"/>, <b>X</b>.</param>
+        /// <param name="result">The left hand side <see cref="Matrix{T}"/>, <b>X</b>.</param>
-        public override void Solve(Matrix input, Matrix result)
+        public override void Solve(Matrix<double> input, Matrix<double> result)
         {
             if (input == null)
             {
@@ -166,8 +167,8 @@ namespace MathNet.Numerics.LinearAlgebra.Double.Factorization
         /// Solves a system of linear equations, <b>Ax = b</b>, with A Cholesky factorized.
         /// </summary>
         /// <param name="input">The right hand side vector, <b>b</b>.</param>
-        /// <param name="result">The left hand side <see cref="Matrix"/>, <b>x</b>.</param>
+        /// <param name="result">The left hand side <see cref="Matrix{T}"/>, <b>x</b>.</param>
-        public override void Solve(Vector input, Vector result)
+        public override void Solve(Vector<double> input, Vector<double> result)
         {
             // Check for proper arguments.
             if (input == null)
@@ -219,5 +220,39 @@ namespace MathNet.Numerics.LinearAlgebra.Double.Factorization
                 result[i] = sum / CholeskyFactor.At(i, i);
             }
         }
+
+        #region Simple arithmetic of type T
+
+        /// <summary>
+        /// Multiply two values T*T
+        /// </summary>
+        /// <param name="val1">Left operand value</param>
+        /// <param name="val2">Right operand value</param>
+        /// <returns>Result of multiplication</returns>
+        protected sealed override double MultiplyT(double val1, double val2)
+        {
+            return val1 * val2;
+        }
+
+        /// <summary>
+        /// Returns the natural (base e) logarithm of a specified number.
+        /// </summary>
+        /// <param name="val1"> A number whose logarithm is to be found</param>
+        /// <returns>Natural (base e) logarithm </returns>
+        protected sealed override double LogT(double val1)
+        {
+            return Math.Log(val1);
+        }
+
+        /// <summary>
+        /// Get value of type T equal to one
+        /// </summary>
+        /// <returns>One value</returns>
+        protected sealed override double OneValueT
+        {
+            get { return 1.0; }
+        }
+
+        #endregion
     }
 }

src/Numerics/LinearAlgebra/Double/Factorization/SparseLU.cs

@@ -31,6 +31,8 @@
 namespace MathNet.Numerics.LinearAlgebra.Double.Factorization
 {
     using System;
+    using Generic;
+    using Generic.Factorization;
     using Properties;
 
     /// <summary>
@@ -41,7 +43,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double.Factorization
     /// <remarks>
     /// The computation of the LU factorization is done at construction time.
     /// </remarks>
-    public class SparseLU : LU
+    public class SparseLU : LU<double>
     {
         /// <summary>
         /// Initializes a new instance of the <see cref="SparseLU"/> class. This object will compute the
@@ -50,7 +52,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double.Factorization
         /// <param name="matrix">The matrix to factor.</param>
         /// <exception cref="ArgumentNullException">If <paramref name="matrix"/> is <c>null</c>.</exception>
         /// <exception cref="ArgumentException">If <paramref name="matrix"/> is not a square matrix.</exception>
-        public SparseLU(Matrix matrix)
+        public SparseLU(Matrix<double> matrix)
         {
             if (matrix == null)
             {
@@ -132,9 +134,9 @@ namespace MathNet.Numerics.LinearAlgebra.Double.Factorization
         /// <summary>
         /// Solves a system of linear equations, <c>AX = B</c>, with A LU factorized.
         /// </summary>
-        /// <param name="input">The right hand side <see cref="Matrix"/>, <c>B</c>.</param>
+        /// <param name="input">The right hand side <see cref="Matrix{T}"/>, <c>B</c>.</param>
-        /// <param name="result">The left hand side <see cref="Matrix"/>, <c>X</c>.</param>
+        /// <param name="result">The left hand side <see cref="Matrix{T}"/>, <c>X</c>.</param>
-        public override void Solve(Matrix input, Matrix result)
+        public override void Solve(Matrix<double> input, Matrix<double> result)
         {
             // Check for proper arguments.
             if (input == null)
@@ -219,8 +221,8 @@ namespace MathNet.Numerics.LinearAlgebra.Double.Factorization
         /// Solves a system of linear equations, <c>Ax = b</c>, with A LU factorized.
         /// </summary>
         /// <param name="input">The right hand side vector, <c>b</c>.</param>
-        /// <param name="result">The left hand side <see cref="Matrix"/>, <c>x</c>.</param>
+        /// <param name="result">The left hand side <see cref="Matrix{T}"/>, <c>x</c>.</param>
-        public override void Solve(Vector input, Vector result)
+        public override void Solve(Vector<double> input, Vector<double> result)
         {
             // Check for proper arguments.
             if (input == null)
@@ -285,7 +287,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double.Factorization
         /// Returns the inverse of this matrix. The inverse is calculated using LU decomposition.
         /// </summary>
         /// <returns>The inverse of this matrix.</returns>
-        public override Matrix Inverse()
+        public override Matrix<double> Inverse()
         {
             var order = Factors.RowCount;
             var inverse = Factors.CreateMatrix(order, order);
@@ -296,5 +298,37 @@ namespace MathNet.Numerics.LinearAlgebra.Double.Factorization
 
             return Solve(inverse);
         }
+
+        #region Simple arithmetic of type T
+
+        /// <summary>
+        /// Multiply two values T*T
+        /// </summary>
+        /// <param name="val1">Left operand value</param>
+        /// <param name="val2">Right operand value</param>
+        /// <returns>Result of multiplication</returns>
+        protected sealed override double MultiplyT(double val1, double val2)
+        {
+            return val1 * val2;
+        }
+
+        /// <summary>
+        /// Get value of type T equal to one
+        /// </summary>
+        /// <returns>One value</returns>
+        protected sealed override double OneValueT
+        {
+            get { return 1.0; }
+        }
+
+        /// <summary>
+        /// Get value of type T equal to minus one
+        /// </summary>
+        /// <returns>One value</returns>
+        protected sealed override double MinusOneValueT
+        {
+            get { return -1.0; }
+        }
+        #endregion
     }
 }

src/Numerics/LinearAlgebra/Double/Factorization/SparseQR.cs

@@ -32,6 +32,8 @@ namespace MathNet.Numerics.LinearAlgebra.Double.Factorization
 {
     using System;
     using System.Linq;
+    using Generic;
+    using Generic.Factorization;
     using Properties;
 
     /// <summary>
@@ -43,7 +45,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double.Factorization
     /// <remarks>
     /// The computation of the QR decomposition is done at construction time by Householder transformation.
     /// </remarks>
-    public class SparseQR : QR
+    public class SparseQR : QR<double>
     {
         /// <summary>
         /// Initializes a new instance of the <see cref="SparseQR"/> class. This object will compute the
@@ -51,7 +53,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double.Factorization
         /// </summary>
         /// <param name="matrix">The matrix to factor.</param>
         /// <exception cref="ArgumentNullException">If <paramref name="matrix"/> is <c>null</c>.</exception>
-        public SparseQR(Matrix matrix)
+        public SparseQR(Matrix<double> matrix)
         {
             if (matrix == null)
             {
@@ -93,7 +95,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double.Factorization
         /// <param name="rowEnd">The last row</param>
         /// <param name="column">Column index</param>
         /// <returns>Generated vector</returns>
-        private static double[] GenerateColumn(Matrix a, int rowStart, int rowEnd, int column)
+        private static double[] GenerateColumn(Matrix<double> a, int rowStart, int rowEnd, int column)
         {
             var ru = rowEnd - rowStart + 1;
             var u = new double[ru];
@@ -147,7 +149,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double.Factorization
         /// <param name="rowEnd">The last row</param>
         /// <param name="columnStart">The first column</param>
         /// <param name="columnEnd">The last column</param>
-        private static void ComputeQR(double[] u, Matrix a, int rowStart, int rowEnd, int columnStart, int columnEnd)
+        private static void ComputeQR(double[] u, Matrix<double> a, int rowStart, int rowEnd, int columnStart, int columnEnd)
         {
             if (rowEnd < rowStart || columnEnd < columnStart)
             {
@@ -180,9 +182,9 @@ namespace MathNet.Numerics.LinearAlgebra.Double.Factorization
         /// <summary>
         /// Solves a system of linear equations, <b>AX = B</b>, with A QR factorized.
         /// </summary>
-        /// <param name="input">The right hand side <see cref="Matrix"/>, <b>B</b>.</param>
+        /// <param name="input">The right hand side <see cref="Matrix{T}"/>, <b>B</b>.</param>
-        /// <param name="result">The left hand side <see cref="Matrix"/>, <b>X</b>.</param>
+        /// <param name="result">The left hand side <see cref="Matrix{T}"/>, <b>X</b>.</param>
-        public override void Solve(Matrix input, Matrix result)
+        public override void Solve(Matrix<double> input, Matrix<double> result)
         {
             // Check for proper arguments.
             if (input == null)
@@ -267,8 +269,8 @@ namespace MathNet.Numerics.LinearAlgebra.Double.Factorization
         /// Solves a system of linear equations, <b>Ax = b</b>, with A QR factorized.
         /// </summary>
         /// <param name="input">The right hand side vector, <b>b</b>.</param>
-        /// <param name="result">The left hand side <see cref="Matrix"/>, <b>x</b>.</param>
+        /// <param name="result">The left hand side <see cref="Matrix{T}"/>, <b>x</b>.</param>
-        public override void Solve(Vector input, Vector result)
+        public override void Solve(Vector<double> input, Vector<double> result)
         {
             if (input == null)
             {
@@ -328,5 +330,38 @@ namespace MathNet.Numerics.LinearAlgebra.Double.Factorization
                 result[i] = inputCopy[i];
             }
         }
+
+        #region Simple arithmetic of type T
+
+        /// <summary>
+        /// Multiply two values T*T
+        /// </summary>
+        /// <param name="val1">Left operand value</param>
+        /// <param name="val2">Right operand value</param>
+        /// <returns>Result of multiplication</returns>
+        protected sealed override double MultiplyT(double val1, double val2)
+        {
+            return val1 * val2;
+        }
+
+        /// <summary>
+        /// Returns the absolute value of a specified number.
+        /// </summary>
+        /// <param name="val1"> A number whose absolute is to be found</param>
+        /// <returns>Absolute value </returns>
+        protected sealed override double AbsoluteT(double val1)
+        {
+            return Math.Abs(val1);
+        }
+
+        /// <summary>
+        /// Get value of type T equal to one
+        /// </summary>
+        /// <returns>One value</returns>
+        protected sealed override double OneValueT
+        {
+            get { return 1.0; }
+        }
+        #endregion
     }
 }

src/Numerics/LinearAlgebra/Double/Factorization/SparseSvd.cs

@@ -30,10 +30,12 @@
 namespace MathNet.Numerics.LinearAlgebra.Double.Factorization
 {
     using System;
+    using Generic;
+    using Generic.Factorization;
     using Properties;
 
     /// <summary>
-    /// <para>A class which encapsulates the functionality of the singular value decomposition (SVD) for <see cref="Matrix"/>.</para>
+    /// <para>A class which encapsulates the functionality of the singular value decomposition (SVD) for <see cref="Matrix{T}"/>.</para>
     /// <para>Suppose M is an m-by-n matrix whose entries are real numbers. 
     /// Then there exists a factorization of the form M = UΣVT where:
     /// - U is an m-by-m unitary matrix;
@@ -46,7 +48,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double.Factorization
     /// <remarks>
     /// The computation of the singular value decomposition is done at construction time.
     /// </remarks>
-    public class SparseSvd : Svd
+    public class SparseSvd : Svd<double>
     {
         /// <summary>
         /// Initializes a new instance of the <see cref="SparseSvd"/> class. This object will compute the
@@ -56,7 +58,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double.Factorization
         /// <param name="computeVectors">Compute the singular U and VT vectors or not.</param>
         /// <exception cref="ArgumentNullException">If <paramref name="matrix"/> is <b>null</b>.</exception>
         /// <exception cref="ArgumentException">If SVD algorithm failed to converge with matrix <paramref name="matrix"/>.</exception>
-        public SparseSvd(Matrix matrix, bool computeVectors)
+        public SparseSvd(Matrix<double> matrix, bool computeVectors)
         {
             if (matrix == null)
             {
@@ -603,7 +605,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double.Factorization
         /// <param name="rowCount">The number of rows in <paramref name="a"/></param>
         /// <param name="columnA">Column A index to swap</param>
         /// <param name="columnB">Column B index to swap</param>
-        private static void Dswap(Matrix a, int rowCount, int columnA, int columnB)
+        private static void Dswap(Matrix<double> a, int rowCount, int columnA, int columnB)
         {
             for (var i = 0; i < rowCount; i++)
             {
@@ -621,7 +623,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double.Factorization
         /// <param name="column">Column to scale</param>
         /// <param name="rowStart">Row to scale from</param>
         /// <param name="z">Scale value</param>
-        private static void DscalColumn(Matrix a, int rowCount, int column, int rowStart, double z)
+        private static void DscalColumn(Matrix<double> a, int rowCount, int column, int rowStart, double z)
         {
             for (var i = rowStart; i < rowCount; i++)
             {
@@ -708,7 +710,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double.Factorization
         /// <param name="column">Column index</param>
         /// <param name="rowStart">Start row index</param>
         /// <returns>Norm2 (Euclidean norm) of trhe column</returns>
-        private static double Dnrm2Column(Matrix a, int rowCount, int column, int rowStart)
+        private static double Dnrm2Column(Matrix<double> a, int rowCount, int column, int rowStart)
         {
             double s = 0;
             for (var i = rowStart; i < rowCount; i++)
@@ -745,7 +747,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double.Factorization
         /// <param name="columnB">Index of column B</param>
         /// <param name="rowStart">Starting row index</param>
         /// <returns>Dot product value</returns>
-        private static double Ddot(Matrix a, int rowCount, int columnA, int columnB, int rowStart)
+        private static double Ddot(Matrix<double> a, int rowCount, int columnA, int columnB, int rowStart)
         {
             var z = 0.0;
             for (var i = rowStart; i < rowCount; i++)
@@ -766,7 +768,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double.Factorization
         /// <param name="columnB">Index of column B</param>
         /// <param name="c">Scalar "c" value</param>
         /// <param name="s">Scalar "s" value</param>
-        private static void Drot(Matrix a, int rowCount, int columnA, int columnB, double c, double s)
+        private static void Drot(Matrix<double> a, int rowCount, int columnA, int columnB, double c, double s)
         {
             for (var i = 0; i < rowCount; i++)
             {
@@ -780,9 +782,9 @@ namespace MathNet.Numerics.LinearAlgebra.Double.Factorization
         /// <summary>
         /// Solves a system of linear equations, <b>AX = B</b>, with A SVD factorized.
         /// </summary>
-        /// <param name="input">The right hand side <see cref="Matrix"/>, <b>B</b>.</param>
+        /// <param name="input">The right hand side <see cref="Matrix{T}"/>, <b>B</b>.</param>
-        /// <param name="result">The left hand side <see cref="Matrix"/>, <b>X</b>.</param>
+        /// <param name="result">The left hand side <see cref="Matrix{T}"/>, <b>X</b>.</param>
-        public override void Solve(Matrix input, Matrix result)
+        public override void Solve(Matrix<double> input, Matrix<double> result)
         {
             // Check for proper arguments.
             if (input == null)
@@ -858,8 +860,8 @@ namespace MathNet.Numerics.LinearAlgebra.Double.Factorization
         /// Solves a system of linear equations, <b>Ax = b</b>, with A SVD factorized.
         /// </summary>
         /// <param name="input">The right hand side vector, <b>b</b>.</param>
-        /// <param name="result">The left hand side <see cref="Matrix"/>, <b>x</b>.</param>
+        /// <param name="result">The left hand side <see cref="Matrix{T}"/>, <b>x</b>.</param>
-        public override void Solve(Vector input, Vector result)
+        public override void Solve(Vector<double> input, Vector<double> result)
         {
             if (input == null)
             {
@@ -919,5 +921,39 @@ namespace MathNet.Numerics.LinearAlgebra.Double.Factorization
                 result[j] = value;
             }
         }
+
+        #region Simple arithmetic of type T
+
+        /// <summary>
+        /// Multiply two values T*T
+        /// </summary>
+        /// <param name="val1">Left operand value</param>
+        /// <param name="val2">Right operand value</param>
+        /// <returns>Result of multiplication</returns>
+        protected sealed override double MultiplyT(double val1, double val2)
+        {
+            return val1 * val2;
+        }
+
+        /// <summary>
+        /// Returns the absolute value of a specified number.
+        /// </summary>
+        /// <param name="val1"> A number whose absolute is to be found</param>
+        /// <returns>Absolute value </returns>
+        protected sealed override double AbsoluteT(double val1)
+        {
+            return Math.Abs(val1);
+        }
+
+        /// <summary>
+        /// Get value of type T equal to one
+        /// </summary>
+        /// <returns>One value</returns>
+        protected sealed override double OneValueT
+        {
+            get { return 1.0; }
+        }
+
+        #endregion
     }
 }

src/Numerics/LinearAlgebra/Double/Factorization/UserCholesky.cs

@@ -31,6 +31,8 @@
 namespace MathNet.Numerics.LinearAlgebra.Double.Factorization
 {
     using System;
+    using Generic;
+    using Generic.Factorization;
     using Properties;
 
     /// <summary>
@@ -42,7 +44,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double.Factorization
     /// The computation of the Cholesky factorization is done at construction time. If the matrix is not symmetric
     /// or positive definite, the constructor will throw an exception.
     /// </remarks>
-    public class UserCholesky : Cholesky
+    public class UserCholesky : Cholesky<double>
     {
         /// <summary>
         /// Initializes a new instance of the <see cref="UserCholesky"/> class. This object will compute the
@@ -52,7 +54,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double.Factorization
         /// <exception cref="ArgumentNullException">If <paramref name="matrix"/> is <c>null</c>.</exception>
         /// <exception cref="ArgumentException">If <paramref name="matrix"/> is not a square matrix.</exception>
         /// <exception cref="ArgumentException">If <paramref name="matrix"/> is not positive definite.</exception>
-        public UserCholesky(Matrix matrix)
+        public UserCholesky(Matrix<double> matrix)
         {
             if (matrix == null)
             {
@@ -96,12 +98,46 @@ namespace MathNet.Numerics.LinearAlgebra.Double.Factorization
             }
         }
 
+        /// <summary>
+        /// Gets the determinant of the matrix for which the Cholesky matrix was computed.
+        /// </summary>
+        public override double Determinant
+        {
+            get
+            {
+                var det = 1.0;
+                for (var j = 0; j < CholeskyFactor.RowCount; j++)
+                {
+                    det *= CholeskyFactor[j, j] * CholeskyFactor[j, j];
+                }
+
+                return det;
+            }
+        }
+
+        /// <summary>
+        /// Gets the log determinant of the matrix for which the Cholesky matrix was computed.
+        /// </summary>
+        public override double DeterminantLn
+        {
+            get
+            {
+                var det = 0.0;
+                for (var j = 0; j < CholeskyFactor.RowCount; j++)
+                {
+                    det += 2.0 * Math.Log(CholeskyFactor[j, j]);
+                }
+
+                return det;
+            }
+        }
+
         /// <summary>
         /// Solves a system of linear equations, <b>AX = B</b>, with A Cholesky factorized.
         /// </summary>
-        /// <param name="input">The right hand side <see cref="Matrix"/>, <b>B</b>.</param>
+        /// <param name="input">The right hand side <see cref="Matrix{T}"/>, <b>B</b>.</param>
-        /// <param name="result">The left hand side <see cref="Matrix"/>, <b>X</b>.</param>
+        /// <param name="result">The left hand side <see cref="Matrix{T}"/>, <b>X</b>.</param>
-        public override void Solve(Matrix input, Matrix result)
+        public override void Solve(Matrix<double> input, Matrix<double> result)
         {
             if (input == null)
             {
@@ -165,8 +201,8 @@ namespace MathNet.Numerics.LinearAlgebra.Double.Factorization
         /// Solves a system of linear equations, <b>Ax = b</b>, with A Cholesky factorized.
         /// </summary>
         /// <param name="input">The right hand side vector, <b>b</b>.</param>
-        /// <param name="result">The left hand side <see cref="Matrix"/>, <b>x</b>.</param>
+        /// <param name="result">The left hand side <see cref="Matrix{T}"/>, <b>x</b>.</param>
-        public override void Solve(Vector input, Vector result)
+        public override void Solve(Vector<double> input, Vector<double> result)
         {
             // Check for proper arguments.
             if (input == null)
@@ -218,5 +254,39 @@ namespace MathNet.Numerics.LinearAlgebra.Double.Factorization
                 result[i] = sum / CholeskyFactor.At(i, i);
             }
         }
+
+        #region Simple T Mathematics
+
+        /// <summary>
+        /// Multiply two values T*T
+        /// </summary>
+        /// <param name="val1">Left operand value</param>
+        /// <param name="val2">Right operand value</param>
+        /// <returns>Result of multiplication</returns>
+        protected sealed override double MultiplyT(double val1, double val2)
+        {
+            return val1 * val2;
+        }
+
+        /// <summary>
+        /// Returns the natural (base e) logarithm of a specified number.
+        /// </summary>
+        /// <param name="val1"> A number whose logarithm is to be found</param>
+        /// <returns>Natural (base e) logarithm </returns>
+        protected sealed override double LogT(double val1)
+        {
+            return Math.Log(val1);
+        }
+
+        /// <summary>
+        /// Get value of type T equal to one
+        /// </summary>
+        /// <returns>One value</returns>
+        protected sealed override double OneValueT
+        {
+            get { return 1.0; }
+        }
+
+        #endregion
     }
 }

src/Numerics/LinearAlgebra/Double/Factorization/UserLU.cs

@@ -31,6 +31,8 @@
 namespace MathNet.Numerics.LinearAlgebra.Double.Factorization
 {
     using System;
+    using Generic;
+    using Generic.Factorization;
     using Properties;
 
     /// <summary>
@@ -41,7 +43,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double.Factorization
     /// <remarks>
     /// The computation of the LU factorization is done at construction time.
     /// </remarks>
-    public class UserLU : LU
+    public class UserLU : LU<double>
     {
         /// <summary>
         /// Initializes a new instance of the <see cref="UserLU"/> class. This object will compute the
@@ -50,7 +52,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double.Factorization
         /// <param name="matrix">The matrix to factor.</param>
         /// <exception cref="ArgumentNullException">If <paramref name="matrix"/> is <c>null</c>.</exception>
         /// <exception cref="ArgumentException">If <paramref name="matrix"/> is not a square matrix.</exception>
-        public UserLU(Matrix matrix)
+        public UserLU(Matrix<double> matrix)
         {
             if (matrix == null)
             {
@@ -132,9 +134,9 @@ namespace MathNet.Numerics.LinearAlgebra.Double.Factorization
         /// <summary>
         /// Solves a system of linear equations, <c>AX = B</c>, with A LU factorized.
         /// </summary>
-        /// <param name="input">The right hand side <see cref="Matrix"/>, <c>B</c>.</param>
+        /// <param name="input">The right hand side <see cref="Matrix{T}"/>, <c>B</c>.</param>
-        /// <param name="result">The left hand side <see cref="Matrix"/>, <c>X</c>.</param>
+        /// <param name="result">The left hand side <see cref="Matrix{T}"/>, <c>X</c>.</param>
-        public override void Solve(Matrix input, Matrix result)
+        public override void Solve(Matrix<double> input, Matrix<double> result)
         {
             // Check for proper arguments.
             if (input == null)
@@ -219,8 +221,8 @@ namespace MathNet.Numerics.LinearAlgebra.Double.Factorization
         /// Solves a system of linear equations, <c>Ax = b</c>, with A LU factorized.
         /// </summary>
         /// <param name="input">The right hand side vector, <c>b</c>.</param>
-        /// <param name="result">The left hand side <see cref="Matrix"/>, <c>x</c>.</param>
+        /// <param name="result">The left hand side <see cref="Matrix{T}"/>, <c>x</c>.</param>
-        public override void Solve(Vector input, Vector result)
+        public override void Solve(Vector<double> input, Vector<double> result)
         {
             // Check for proper arguments.
             if (input == null)
@@ -285,7 +287,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double.Factorization
         /// Returns the inverse of this matrix. The inverse is calculated using LU decomposition.
         /// </summary>
         /// <returns>The inverse of this matrix.</returns>
-        public override Matrix Inverse()
+        public override Matrix<double> Inverse()
         {
             var order = Factors.RowCount;
             var inverse = Factors.CreateMatrix(order, order);
@@ -296,5 +298,37 @@ namespace MathNet.Numerics.LinearAlgebra.Double.Factorization
 
             return Solve(inverse);
         }
+
+        #region Simple arithmetic of type T
+
+        /// <summary>
+        /// Multiply two values T*T
+        /// </summary>
+        /// <param name="val1">Left operand value</param>
+        /// <param name="val2">Right operand value</param>
+        /// <returns>Result of multiplication</returns>
+        protected sealed override double MultiplyT(double val1, double val2)
+        {
+            return val1 * val2;
+        }
+
+        /// <summary>
+        /// Get value of type T equal to one
+        /// </summary>
+        /// <returns>One value</returns>
+        protected sealed override double OneValueT
+        {
+            get { return 1.0; }
+        }
+
+        /// <summary>
+        /// Get value of type T equal to minus one
+        /// </summary>
+        /// <returns>One value</returns>
+        protected sealed override double MinusOneValueT
+        {
+            get { return -1.0; }
+        }
+        #endregion
     }
 }

src/Numerics/LinearAlgebra/Double/Factorization/UserQR.cs

@@ -32,6 +32,8 @@ namespace MathNet.Numerics.LinearAlgebra.Double.Factorization
 {
     using System;
     using System.Linq;
+    using Generic;
+    using Generic.Factorization;
     using Properties;
 
     /// <summary>
@@ -43,7 +45,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double.Factorization
     /// <remarks>
     /// The computation of the QR decomposition is done at construction time by Householder transformation.
     /// </remarks>
-    public class UserQR : QR
+    public class UserQR : QR<double>
     {
         /// <summary>
         /// Initializes a new instance of the <see cref="UserQR"/> class. This object will compute the
@@ -51,7 +53,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double.Factorization
         /// </summary>
         /// <param name="matrix">The matrix to factor.</param>
         /// <exception cref="ArgumentNullException">If <paramref name="matrix"/> is <c>null</c>.</exception>
-        public UserQR(Matrix matrix)
+        public UserQR(Matrix<double> matrix)
         {
             if (matrix == null)
             {
@@ -93,7 +95,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double.Factorization
         /// <param name="rowEnd">The last row</param>
         /// <param name="column">Column index</param>
         /// <returns>Generated vector</returns>
-        private static double[] GenerateColumn(Matrix a, int rowStart, int rowEnd, int column)
+        private static double[] GenerateColumn(Matrix<double> a, int rowStart, int rowEnd, int column)
         {
             var ru = rowEnd - rowStart + 1;
             var u = new double[ru];
@@ -147,7 +149,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double.Factorization
         /// <param name="rowEnd">The last row</param>
         /// <param name="columnStart">The first column</param>
         /// <param name="columnEnd">The last column</param>
-        private static void ComputeQR(double[] u, Matrix a, int rowStart, int rowEnd, int columnStart, int columnEnd)
+        private static void ComputeQR(double[] u, Matrix<double> a, int rowStart, int rowEnd, int columnStart, int columnEnd)
         {
             if (rowEnd < rowStart || columnEnd < columnStart)
             {
@@ -180,9 +182,9 @@ namespace MathNet.Numerics.LinearAlgebra.Double.Factorization
         /// <summary>
         /// Solves a system of linear equations, <b>AX = B</b>, with A QR factorized.
         /// </summary>
-        /// <param name="input">The right hand side <see cref="Matrix"/>, <b>B</b>.</param>
+        /// <param name="input">The right hand side <see cref="Matrix{T}"/>, <b>B</b>.</param>
-        /// <param name="result">The left hand side <see cref="Matrix"/>, <b>X</b>.</param>
+        /// <param name="result">The left hand side <see cref="Matrix{T}"/>, <b>X</b>.</param>
-        public override void Solve(Matrix input, Matrix result)
+        public override void Solve(Matrix<double> input, Matrix<double> result)
         {
             // Check for proper arguments.
             if (input == null)
@@ -266,8 +268,8 @@ namespace MathNet.Numerics.LinearAlgebra.Double.Factorization
         /// Solves a system of linear equations, <b>Ax = b</b>, with A QR factorized.
         /// </summary>
         /// <param name="input">The right hand side vector, <b>b</b>.</param>
-        /// <param name="result">The left hand side <see cref="Matrix"/>, <b>x</b>.</param>
+        /// <param name="result">The left hand side <see cref="Matrix{T}"/>, <b>x</b>.</param>
-        public override void Solve(Vector input, Vector result)
+        public override void Solve(Vector<double> input, Vector<double> result)
         {
             if (input == null)
             {
@@ -327,5 +329,38 @@ namespace MathNet.Numerics.LinearAlgebra.Double.Factorization
                 result[i] = inputCopy[i];
             }
         }
+
+        #region Simple arithmetic of type T
+
+        /// <summary>
+        /// Multiply two values T*T
+        /// </summary>
+        /// <param name="val1">Left operand value</param>
+        /// <param name="val2">Right operand value</param>
+        /// <returns>Result of multiplication</returns>
+        protected sealed override double MultiplyT(double val1, double val2)
+        {
+            return val1 * val2;
+        }
+
+        /// <summary>
+        /// Returns the absolute value of a specified number.
+        /// </summary>
+        /// <param name="val1"> A number whose absolute is to be found</param>
+        /// <returns>Absolute value </returns>
+        protected sealed override double AbsoluteT(double val1)
+        {
+            return Math.Abs(val1);
+        }
+
+        /// <summary>
+        /// Get value of type T equal to one
+        /// </summary>
+        /// <returns>One value</returns>
+        protected sealed override double OneValueT
+        {
+            get { return 1.0; }
+        }
+        #endregion
     }
 }

src/Numerics/LinearAlgebra/Double/Factorization/UserSvd.cs

@@ -30,10 +30,12 @@
 namespace MathNet.Numerics.LinearAlgebra.Double.Factorization
 {
     using System;
+    using Generic;
+    using Generic.Factorization;
     using Properties;
 
     /// <summary>
-    /// <para>A class which encapsulates the functionality of the singular value decomposition (SVD) for <see cref="Matrix"/>.</para>
+    /// <para>A class which encapsulates the functionality of the singular value decomposition (SVD) for <see cref="Matrix{T}"/>.</para>
     /// <para>Suppose M is an m-by-n matrix whose entries are real numbers. 
     /// Then there exists a factorization of the form M = UΣVT where:
     /// - U is an m-by-m unitary matrix;
@@ -46,7 +48,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double.Factorization
     /// <remarks>
     /// The computation of the singular value decomposition is done at construction time.
     /// </remarks>
-    public class UserSvd : Svd
+    public class UserSvd : Svd<double>
     {
         /// <summary>
         /// Initializes a new instance of the <see cref="UserSvd"/> class. This object will compute the
@@ -56,7 +58,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double.Factorization
         /// <param name="computeVectors">Compute the singular U and VT vectors or not.</param>
         /// <exception cref="ArgumentNullException">If <paramref name="matrix"/> is <b>null</b>.</exception>
         /// <exception cref="ArgumentException">If SVD algorithm failed to converge with matrix <paramref name="matrix"/>.</exception>
-        public UserSvd(Matrix matrix, bool computeVectors)
+        public UserSvd(Matrix<double> matrix, bool computeVectors)
         {
             if (matrix == null)
             {
@@ -603,7 +605,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double.Factorization
         /// <param name="rowCount">The number of rows in <paramref name="a"/></param>
         /// <param name="columnA">Column A index to swap</param>
         /// <param name="columnB">Column B index to swap</param>
-        private static void Dswap(Matrix a, int rowCount, int columnA, int columnB)
+        private static void Dswap(Matrix<double> a, int rowCount, int columnA, int columnB)
         {
             for (var i = 0; i < rowCount; i++)
             {
@@ -621,7 +623,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double.Factorization
         /// <param name="column">Column to scale</param>
         /// <param name="rowStart">Row to scale from</param>
         /// <param name="z">Scale value</param>
-        private static void DscalColumn(Matrix a, int rowCount, int column, int rowStart, double z)
+        private static void DscalColumn(Matrix<double> a, int rowCount, int column, int rowStart, double z)
         {
             for (var i = rowStart; i < rowCount; i++)
             {
@@ -708,7 +710,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double.Factorization
         /// <param name="column">Column index</param>
         /// <param name="rowStart">Start row index</param>
         /// <returns>Norm2 (Euclidean norm) of trhe column</returns>
-        private static double Dnrm2Column(Matrix a, int rowCount, int column, int rowStart)
+        private static double Dnrm2Column(Matrix<double> a, int rowCount, int column, int rowStart)
         {
             double s = 0;
             for (var i = rowStart; i < rowCount; i++)
@@ -745,7 +747,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double.Factorization
         /// <param name="columnB">Index of column B</param>
         /// <param name="rowStart">Starting row index</param>
         /// <returns>Dot product value</returns>
-        private static double Ddot(Matrix a, int rowCount, int columnA, int columnB, int rowStart)
+        private static double Ddot(Matrix<double> a, int rowCount, int columnA, int columnB, int rowStart)
         {
             var z = 0.0;
             for (var i = rowStart; i < rowCount; i++)
@@ -766,7 +768,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double.Factorization
         /// <param name="columnB">Index of column B</param>
         /// <param name="c">Scalar "c" value</param>
         /// <param name="s">Scalar "s" value</param>
-        private static void Drot(Matrix a, int rowCount, int columnA, int columnB, double c, double s)
+        private static void Drot(Matrix<double> a, int rowCount, int columnA, int columnB, double c, double s)
         {
             for (var i = 0; i < rowCount; i++)
             {
@@ -780,9 +782,9 @@ namespace MathNet.Numerics.LinearAlgebra.Double.Factorization
         /// <summary>
         /// Solves a system of linear equations, <b>AX = B</b>, with A SVD factorized.
         /// </summary>
-        /// <param name="input">The right hand side <see cref="Matrix"/>, <b>B</b>.</param>
+        /// <param name="input">The right hand side <see cref="Matrix{T}"/>, <b>B</b>.</param>
-        /// <param name="result">The left hand side <see cref="Matrix"/>, <b>X</b>.</param>
+        /// <param name="result">The left hand side <see cref="Matrix{T}"/>, <b>X</b>.</param>
-        public override void Solve(Matrix input, Matrix result)
+        public override void Solve(Matrix<double> input, Matrix<double> result)
         {
             // Check for proper arguments.
             if (input == null)
@@ -858,8 +860,8 @@ namespace MathNet.Numerics.LinearAlgebra.Double.Factorization
         /// Solves a system of linear equations, <b>Ax = b</b>, with A SVD factorized.
         /// </summary>
         /// <param name="input">The right hand side vector, <b>b</b>.</param>
-        /// <param name="result">The left hand side <see cref="Matrix"/>, <b>x</b>.</param>
+        /// <param name="result">The left hand side <see cref="Matrix{T}"/>, <b>x</b>.</param>
-        public override void Solve(Vector input, Vector result)
+        public override void Solve(Vector<double> input, Vector<double> result)
         {
             if (input == null)
             {
@@ -919,5 +921,39 @@ namespace MathNet.Numerics.LinearAlgebra.Double.Factorization
                 result[j] = value;
             }
         }
+
+        #region Simple arithmetic of type T
+
+        /// <summary>
+        /// Multiply two values T*T
+        /// </summary>
+        /// <param name="val1">Left operand value</param>
+        /// <param name="val2">Right operand value</param>
+        /// <returns>Result of multiplication</returns>
+        protected sealed override double MultiplyT(double val1, double val2)
+        {
+            return val1 * val2;
+        }
+
+        /// <summary>
+        /// Returns the absolute value of a specified number.
+        /// </summary>
+        /// <param name="val1"> A number whose absolute is to be found</param>
+        /// <returns>Absolute value </returns>
+        protected sealed override double AbsoluteT(double val1)
+        {
+            return Math.Abs(val1);
+        }
+
+        /// <summary>
+        /// Get value of type T equal to one
+        /// </summary>
+        /// <returns>One value</returns>
+        protected sealed override double OneValueT
+        {
+            get { return 1.0; }
+        }
+
+        #endregion
     }
 }

src/Numerics/LinearAlgebra/Double/IO/DelimitedReader.cs

@@ -32,14 +32,15 @@ namespace MathNet.Numerics.LinearAlgebra.Double.IO
     using System.IO;
     using System.Reflection;
     using System.Text.RegularExpressions;
+    using Generic;
 
     /// <summary>
-    /// Creates a <see cref="Matrix"/> from a delimited text file. If the user does not
+    /// Creates a <see cref="Matrix{T}"/> from a delimited text file. If the user does not
     /// specify a delimiter, then any whitespace is used.
     /// </summary>
     /// <typeparam name="TMatrix">The type of the matrix to return.</typeparam>
     public class DelimitedReader<TMatrix> : MatrixReader<TMatrix>
-        where TMatrix : Matrix
+        where TMatrix : Matrix<double>
     {
         /// <summary>
         /// Constructor to create matrix instance.

src/Numerics/LinearAlgebra/Double/IO/DelimitedWriter.cs

@@ -32,9 +32,10 @@ namespace MathNet.Numerics.LinearAlgebra.Double.IO
     using System.Collections.Generic;
     using System.Globalization;
     using System.IO;
+    using Generic;
 
     /// <summary>
-    /// Writes an <see cref="Matrix"/> to delimited text file. If the user does not
+    /// Writes an <see cref="Matrix{T}"/> to delimited text file. If the user does not
     /// specify a delimiter, a tab separator is used.
     /// </summary>
     public class DelimitedWriter : MatrixWriter
@@ -115,13 +116,13 @@ namespace MathNet.Numerics.LinearAlgebra.Double.IO
         }
 
         /// <summary>
-        /// Writes the given <see cref="Matrix"/> to the given <see cref="TextWriter"/>.
+        /// Writes the given <see cref="Matrix{T}"/> to the given <see cref="TextWriter"/>.
         /// </summary>
         /// <param name="matrix">The matrix to write.</param>
         /// <param name="writer">The <see cref="TextWriter"/> to write the matrix to.</param>
         /// <param name="format">The format to use on each element.</param>
         /// <exception cref="ArgumentNullException">If either <paramref name="matrix"/> or <paramref name="writer"/> is <c>null</c>.</exception>
-        protected override void DoWriteMatrix(Matrix matrix, TextWriter writer, string format)
+        protected override void DoWriteMatrix(Matrix<double> matrix, TextWriter writer, string format)
         {
             if (matrix == null)
             {

src/Numerics/LinearAlgebra/Double/IO/Matlab/MatlabFile.cs

@@ -29,6 +29,7 @@
 namespace MathNet.Numerics.LinearAlgebra.Double.IO.Matlab
 {
     using System.Collections.Generic;
+    using Generic;
 
     /// <summary>
     /// Represents a Matlab file
@@ -38,7 +39,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double.IO.Matlab
         /// <summary>
         /// Matrices in a matlab file stored as 1-D arrays
         /// </summary>
-        private readonly IDictionary<string, Matrix> _matrices = new SortedList<string, Matrix>();
+        private readonly IDictionary<string, Matrix<double>> _matrices = new SortedList<string, Matrix<double>>();
        
         /// <summary>
         /// Gets or sets the header text.
@@ -56,7 +57,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double.IO.Matlab
         /// Gets the first matrix.
         /// </summary>
         /// <value>The first matrix.</value>
-        public Matrix FirstMatrix
+        public Matrix<double> FirstMatrix
         {
             get
             {
@@ -73,7 +74,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double.IO.Matlab
         /// Gets the matrices.
         /// </summary>
         /// <value>The matrices.</value>
-        public IDictionary<string, Matrix> Matrices
+        public IDictionary<string, Matrix<double>> Matrices
         {
             get { return _matrices; }
         }

src/Numerics/LinearAlgebra/Double/IO/Matlab/MatlabParser.cs

@@ -31,6 +31,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double.IO.Matlab
     using System.IO;
     using System.Text;
     using Common.IO.Matlab;
+    using Generic;
     using Properties;
     using zlib;
 
@@ -296,7 +297,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double.IO.Matlab
                         size = reader.ReadInt32();
                     }
 
-                    Matrix matrix;
+                    Matrix<double> matrix;
                     switch (arrayClass)
                     {
                         case ArrayClass.Sparse:
@@ -331,7 +332,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double.IO.Matlab
         /// <param name="columns">The number of columns.</param>
         /// <param name="size">The size of the block.</param>
         /// <returns>A populated sparse matrix.</returns>
-        private static Matrix PopulateSparseMatrix(BinaryReader reader, int rows, int columns, int size)
+        private static Matrix<double> PopulateSparseMatrix(BinaryReader reader, int rows, int columns, int size)
         {
             // populate the row data array
             var ir = new int[size / 4];
@@ -360,7 +361,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double.IO.Matlab
             // skip length since we already no it for the number of rows
             reader.BaseStream.Seek(4, SeekOrigin.Current);
 
-            Matrix matrix = new SparseMatrix(rows, columns);
+            Matrix<double> matrix = new SparseMatrix(rows, columns);
             var col = 0;
             for (var i = 0; i < ir.Length; i++)
             {
@@ -420,9 +421,9 @@ namespace MathNet.Numerics.LinearAlgebra.Double.IO.Matlab
         /// <param name="rows">The number of rows.</param>
         /// <param name="columns">The number of columns.</param>
         /// <returns>Returns a populated dense matrix.</returns>
-        private static Matrix PopulateDenseMatrix(DataType type, BinaryReader reader, int rows, int columns)
+        private static Matrix<double> PopulateDenseMatrix(DataType type, BinaryReader reader, int rows, int columns)
         {
-            Matrix matrix = new DenseMatrix(rows, columns);
+            Matrix<double> matrix = new DenseMatrix(rows, columns);
             switch (type)
             {
                 case DataType.Int8:

src/Numerics/LinearAlgebra/Double/IO/MatlabReader.cs

@@ -31,6 +31,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double.IO
     using System;
     using System.Collections.Generic;
     using System.IO;
+    using Generic;
     using Matlab;
     using Properties;
 
@@ -89,7 +90,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double.IO
         /// If the matrix is stored as a sparse matrix, then a <see cref="SparseMatrix"/> is returned. Otherwise, a <see cref="DenseMatrix"/>
         /// is returned.
         /// </returns>
-        public Matrix ReadMatrix()
+        public Matrix<double> ReadMatrix()
         {
             return ReadMatrix(null);
         }
@@ -102,7 +103,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double.IO
         /// If the matrix is stored as a sparse matrix, then a <see cref="SparseMatrix"/> is returned. Otherwise, a <see cref="DenseMatrix"/>
         /// is returned. <see langword="null"/> is returned if a matrix with the requests name doesn't exist.
         /// </returns>
-        public Matrix ReadMatrix(string matrixName)
+        public Matrix<double> ReadMatrix(string matrixName)
         {
             Stream stream;
             if (_filename == null)
@@ -119,7 +120,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double.IO
             var parser = new MatlabParser(stream, names);
             var file = parser.Parse();
 
-            Matrix matrix = null;
+            Matrix<double> matrix = null;
             if (string.IsNullOrEmpty(matrixName))
             {
                 matrix = file.FirstMatrix;
@@ -142,7 +143,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double.IO
         /// Reads all matrices from the file or stream.
         /// </summary>
         /// <returns>All matrices from the file or stream.</returns>
-        public Matrix[] ReadMatrices()
+        public Matrix<double>[] ReadMatrices()
         {
             return ReadMatrices(new string[] { });
         }
@@ -154,7 +155,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double.IO
         /// <returns>
         /// The named matrices from the file or stream.
         /// </returns>
-        public Matrix[] ReadMatrices(IEnumerable<string> names)
+        public Matrix<double>[] ReadMatrices(IEnumerable<string> names)
         {
             Stream stream;
             if (_filename == null)
@@ -170,7 +171,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double.IO
             var parser = new MatlabParser(stream, names);
             var file = parser.Parse();
 
-            var matrices = new Matrix[file.Matrices.Count];
+            var matrices = new Matrix<double>[file.Matrices.Count];
             var i = 0;
             foreach (var matrix in file.Matrices.Values)
             {

src/Numerics/LinearAlgebra/Double/IO/MatrixReader.cs

@@ -28,24 +28,25 @@ namespace MathNet.Numerics.LinearAlgebra.Double.IO
 {
     using System;
     using System.IO;
+    using Generic;
     using Properties;
 
     /// <summary>
-    /// Base class to read a single <see cref="Matrix"/> from a file or stream.
+    /// Base class to read a single <see cref="Matrix{T}"/> from a file or stream.
     /// </summary>
     /// <typeparam name="TMatrix">The type of Matrix to return.</typeparam>
-    public abstract class MatrixReader<TMatrix> where TMatrix : Matrix
+    public abstract class MatrixReader<TMatrix> where TMatrix : Matrix<double>
     {
         /// <summary>
-        /// Reads a <see cref="Matrix"/> from a file.
+        /// Reads a <see cref="Matrix{T}"/> from a file.
         /// </summary>
         /// <param name="file">The file to read the matrix from.</param>
-        /// <returns>A <see cref="Matrix"/> containing the data from the file. <see langword="null" /> is returned if the file is empty.</returns>
+        /// <returns>A <see cref="Matrix{T}"/> containing the data from the file. <see langword="null" /> is returned if the file is empty.</returns>
         /// <exception cref="ArgumentNullException">If <paramref name="file"/> is <see langword="null" />.</exception>
         /// <exception cref="IOException">If the file doesn't exist.</exception>
         /// <exception cref="FormatException">If a value is not a number or not in a valid format.</exception>
         /// <exception cref="OverflowException">If a value represents a number less than <see cref="Double.MinValue"/> or greater than <see cref="Double.MaxValue"/>.</exception>
-        public Matrix ReadMatrix(string file)
+        public Matrix<double> ReadMatrix(string file)
         {
             if (file == null)
             {
@@ -56,7 +57,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double.IO
         }
 
         /// <summary>
-        /// Reads a <see cref="Matrix"/> from a <see cref="Stream"/>.
+        /// Reads a <see cref="Matrix{T}"/> from a <see cref="Stream"/>.
         /// </summary>
         /// <param name="stream">The <see cref="Stream"/> to read the matrix from.</param>
         /// <returns>A matrix containing the data from the <see cref="Stream"/>. <see langword="null" /> is returned if the <see cref="Stream"/> is empty.</returns>

src/Numerics/LinearAlgebra/Double/IO/MatrixWriter.cs

@@ -31,19 +31,21 @@ using System.IO;
 
 namespace MathNet.Numerics.LinearAlgebra.Double.IO
 {
+    using Generic;
+
     /// <summary>
-    /// Base class to write a single <see cref="Matrix"/> to a file or stream.
+    /// Base class to write a single <see cref="Matrix{T}"/> to a file or stream.
     /// </summary>
     public abstract class MatrixWriter 
     {
         /// <summary>
-        /// Writes the given <see cref="Matrix"/> to the given file. If the file already exists, 
+        /// Writes the given <see cref="Matrix{T}"/> to the given file. If the file already exists, 
         /// the file will be overwritten.
         /// </summary>
         /// <param name="matrix">The matrix to write.</param>
         /// <param name="file">The file to write the matrix to.</param>
         /// <exception cref="ArgumentNullException">If either <paramref name="matrix"/> or <paramref name="file"/> is <c>null</c>.</exception>
-        public void WriteMatrix(Matrix matrix, string file)
+        public void WriteMatrix(Matrix<double> matrix, string file)
         {
             if (matrix == null)
             {
@@ -62,14 +64,14 @@ namespace MathNet.Numerics.LinearAlgebra.Double.IO
         }
 
         /// <summary>
-        /// Writes the given <see cref="Matrix"/> to the given file. If the file already exists, 
+        /// Writes the given <see cref="Matrix{T}"/> to the given file. If the file already exists, 
         /// the file will be overwritten.
         /// </summary>
         /// <param name="matrix">the matrix to write.</param>
         /// <param name="file">The file to write the matrix to.</param>
         /// <param name="format">The format to use on each element.</param>
         /// <exception cref="ArgumentNullException">If either <paramref name="matrix"/> or <paramref name="file"/> is <c>null</c>.</exception>
-        public void WriteMatrix(Matrix matrix, string file, string format)
+        public void WriteMatrix(Matrix<double> matrix, string file, string format)
         {
             if (matrix == null)
             {
@@ -93,12 +95,12 @@ namespace MathNet.Numerics.LinearAlgebra.Double.IO
         }
 
         /// <summary>
-        /// Writes the given <see cref="Matrix"/> to the given stream.
+        /// Writes the given <see cref="Matrix{T}"/> to the given stream.
         /// </summary>
         /// <param name="matrix">The matrix to write.</param>
         /// <param name="stream">The <see cref="Stream"/> to write the matrix to.</param>
         /// <exception cref="ArgumentNullException">If either <paramref name="matrix"/> or <paramref name="stream"/> is <c>null</c>.</exception>
-        public void WriteMatrix(Matrix matrix, Stream stream)
+        public void WriteMatrix(Matrix<double> matrix, Stream stream)
         {
             if (matrix == null)
             {
@@ -117,13 +119,13 @@ namespace MathNet.Numerics.LinearAlgebra.Double.IO
         }
 
         /// <summary>
-        /// Writes the given <see cref="Matrix"/> to the given stream.
+        /// Writes the given <see cref="Matrix{T}"/> to the given stream.
         /// </summary>
         /// <param name="matrix">The <see cref="TextWriter"/> to write.</param>
         /// <param name="stream">The <see cref="Stream"/> to write the matrix to.</param>
         /// <param name="format">The format to use on each element.</param>
         /// <exception cref="ArgumentNullException">If either <paramref name="matrix"/> or <paramref name="stream"/> is <c>null</c>.</exception>
-        public void WriteMatrix(Matrix matrix, Stream stream, string format)
+        public void WriteMatrix(Matrix<double> matrix, Stream stream, string format)
         {
             if (matrix == null)
             {
@@ -142,12 +144,12 @@ namespace MathNet.Numerics.LinearAlgebra.Double.IO
         }
 
         /// <summary>
-        /// Writes the given <see cref="Matrix"/> to the given <see cref="TextWriter"/>.
+        /// Writes the given <see cref="Matrix{T}"/> to the given <see cref="TextWriter"/>.
         /// </summary>
         /// <param name="matrix">The matrix to write.</param>
         /// <param name="writer">The <see cref="TextWriter"/> to write the matrix to.</param>
         /// <exception cref="ArgumentNullException">If either <paramref name="matrix"/> or <paramref name="writer"/> is <c>null</c>.</exception>
-        public void WriteMatrix(Matrix matrix, TextWriter writer)
+        public void WriteMatrix(Matrix<double> matrix, TextWriter writer)
         {
             if (matrix == null)
             {
@@ -163,13 +165,13 @@ namespace MathNet.Numerics.LinearAlgebra.Double.IO
         }
 
         /// <summary>
-        /// Writes the given <see cref="Matrix"/> to the given <see cref="TextWriter"/>.
+        /// Writes the given <see cref="Matrix{T}"/> to the given <see cref="TextWriter"/>.
         /// </summary>
         /// <param name="matrix">The matrix to write.</param>
         /// <param name="writer">The <see cref="TextWriter"/> to write the matrix to.</param>
         /// <param name="format">The format to use on each element.</param>
         /// <exception cref="ArgumentNullException">If either <paramref name="matrix"/> or <paramref name="writer"/> is <c>null</c>.</exception>
-        public void WriteMatrix(Matrix matrix, TextWriter writer, string format)
+        public void WriteMatrix(Matrix<double> matrix, TextWriter writer, string format)
         {
             if (matrix == null)
             {
@@ -190,6 +192,6 @@ namespace MathNet.Numerics.LinearAlgebra.Double.IO
         /// <param name="matrix">The matrix to serialize.</param>
         /// <param name="writer">The <see cref="TextWriter"/> to write the matrix to.</param>
         /// <param name="format">The format for the new matrix.</param>
-        protected abstract void DoWriteMatrix(Matrix matrix, TextWriter writer, string format);
+        protected abstract void DoWriteMatrix(Matrix<double> matrix, TextWriter writer, string format);
     }
 }

src/Numerics/LinearAlgebra/Double/Solvers/Iterative/BiCgStab.cs

@@ -31,9 +31,12 @@
 namespace MathNet.Numerics.LinearAlgebra.Double.Solvers.Iterative
 {
     using System;
+    using Generic;
+    using Generic.Solvers;
+    using Generic.Solvers.Preconditioners;
+    using Generic.Solvers.Status;
     using Preconditioners;
     using Properties;
-    using Status;
 
     /// <summary>
     /// A Bi-Conjugate Gradient stabilized iterative matrix solver.
@@ -64,7 +67,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double.Solvers.Iterative
     /// solver.
     /// </para>
     /// </remarks>
-    public sealed class BiCgStab : IIterativeSolver
+    public sealed class BiCgStab : IIterativeSolver<double>
     {
         /// <summary>
         /// The status used if there is no status, i.e. the solver hasn't run yet and there is no
@@ -76,12 +79,12 @@ namespace MathNet.Numerics.LinearAlgebra.Double.Solvers.Iterative
         /// The preconditioner that will be used. Can be set to <see langword="null" />, in which case the default
         /// pre-conditioner will be used.
         /// </summary>
-        private IPreConditioner _preconditioner;
+        private IPreConditioner<double> _preconditioner;
 
         /// <summary>
         /// The iterative process controller.
         /// </summary>
-        private IIterator _iterator;
+        private IIterator<double> _iterator;
 
         /// <summary>
         /// Indicates if the user has stopped the solver.
@@ -92,7 +95,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double.Solvers.Iterative
         /// Initializes a new instance of the <see cref="BiCgStab"/> class.
         /// </summary>
         /// <remarks>
-        /// When using this constructor the solver will use the <see cref="IIterator"/> with
+        /// When using this constructor the solver will use the <see cref="IIterator{T}"/> with
         /// the standard settings and a default preconditioner.
         /// </remarks>
         public BiCgStab() : this(null, null)
@@ -107,18 +110,18 @@ namespace MathNet.Numerics.LinearAlgebra.Double.Solvers.Iterative
         /// When using this constructor the solver will use a default preconditioner.
         /// </para>
         /// <para>
-        /// The main advantages of using a user defined <see cref="IIterator"/> are:
+        /// The main advantages of using a user defined <see cref="IIterator{T}"/> are:
         /// <list type="number">
         /// <item>It is possible to set the desired convergence limits.</item>
         /// <item>
         /// It is possible to check the reason for which the solver finished 
-        /// the iterative procedure by calling the <see cref="IIterator.Status"/> property.
+        /// the iterative procedure by calling the <see cref="IIterator{T}.Status"/> property.
         /// </item>
         /// </list>
         /// </para>
         /// </remarks>
-        /// <param name="iterator">The <see cref="IIterator"/> that will be used to monitor the iterative process. </param>
+        /// <param name="iterator">The <see cref="IIterator{T}"/> that will be used to monitor the iterative process. </param>
-        public BiCgStab(IIterator iterator) : this(null, iterator)
+        public BiCgStab(IIterator<double> iterator) : this(null, iterator)
         {
         }
 
@@ -126,11 +129,11 @@ namespace MathNet.Numerics.LinearAlgebra.Double.Solvers.Iterative
         /// Initializes a new instance of the <see cref="BiCgStab"/> class.
         /// </summary>
         /// <remarks>
-        /// When using this constructor the solver will use the <see cref="IIterator"/> with
+        /// When using this constructor the solver will use the <see cref="IIterator{T}"/> with
         /// the standard settings.
         /// </remarks>
-        /// <param name="preconditioner">The <see cref="IPreConditioner"/> that will be used to precondition the matrix equation.</param>
+        /// <param name="preconditioner">The <see cref="IPreConditioner{T}"/> that will be used to precondition the matrix equation.</param>
-        public BiCgStab(IPreConditioner preconditioner) : this(preconditioner, null)
+        public BiCgStab(IPreConditioner<double> preconditioner) : this(preconditioner, null)
         {
         }
 
@@ -139,38 +142,38 @@ namespace MathNet.Numerics.LinearAlgebra.Double.Solvers.Iterative
         /// </summary>
         /// <remarks>
         /// <para>
-        /// The main advantages of using a user defined <see cref="IIterator"/> are:
+        /// The main advantages of using a user defined <see cref="IIterator{T}"/> are:
         /// <list type="number">
         /// <item>It is possible to set the desired convergence limits.</item>
         /// <item>
         /// It is possible to check the reason for which the solver finished 
-        /// the iterative procedure by calling the <see cref="IIterator.Status"/> property.
+        /// the iterative procedure by calling the <see cref="IIterator{T}.Status"/> property.
         /// </item>
         /// </list>
         /// </para>
         /// </remarks>
-        /// <param name="preconditioner">The <see cref="IPreConditioner"/> that will be used to precondition the matrix equation. </param>
+        /// <param name="preconditioner">The <see cref="IPreConditioner{T}"/> that will be used to precondition the matrix equation. </param>
-        /// <param name="iterator">The <see cref="IIterator"/> that will be used to monitor the iterative process. </param>
+        /// <param name="iterator">The <see cref="IIterator{T}"/> that will be used to monitor the iterative process. </param>
-        public BiCgStab(IPreConditioner preconditioner, IIterator iterator)
+        public BiCgStab(IPreConditioner<double> preconditioner, IIterator<double> iterator)
         {
             _iterator = iterator;
             _preconditioner = preconditioner;
         }
 
         /// <summary>
-        /// Sets the <see cref="IPreConditioner"/> that will be used to precondition the iterative process.
+        /// Sets the <see cref="IPreConditioner{T}"/> that will be used to precondition the iterative process.
         /// </summary>
         /// <param name="preconditioner">The preconditioner.</param>
-        public void SetPreconditioner(IPreConditioner preconditioner)
+        public void SetPreconditioner(IPreConditioner<double> preconditioner)
         {
             _preconditioner = preconditioner;
         }
 
         /// <summary>
-        /// Sets the <see cref="IIterator"/> that will be used to track the iterative process.
+        /// Sets the <see cref="IIterator{T}"/> that will be used to track the iterative process.
         /// </summary>
         /// <param name="iterator">The iterator.</param>
-        public void SetIterator(IIterator iterator)
+        public void SetIterator(IIterator<double> iterator)
         {
             _iterator = iterator;
         }
@@ -201,17 +204,17 @@ namespace MathNet.Numerics.LinearAlgebra.Double.Solvers.Iterative
         /// Solves the matrix equation Ax = b, where A is the coefficient matrix, b is the
         /// solution vector and x is the unknown vector.
         /// </summary>
-        /// <param name="matrix">The coefficient <see cref="Matrix"/>, <c>A</c>.</param>
+        /// <param name="matrix">The coefficient <see cref="Matrix{T}"/>, <c>A</c>.</param>
-        /// <param name="vector">The solution <see cref="Vector"/>, <c>b</c>.</param>
+        /// <param name="vector">The solution <see cref="Vector{T}"/>, <c>b</c>.</param>
-        /// <returns>The result <see cref="Vector"/>, <c>x</c>.</returns>
+        /// <returns>The result <see cref="Vector{T}"/>, <c>x</c>.</returns>
-        public Vector Solve(Matrix matrix, Vector vector)
+        public Vector<double> Solve(Matrix<double> matrix, Vector<double> vector)
         {
             if (vector == null)
             {
                 throw new ArgumentNullException();
             }
 
-            Vector result = new DenseVector(matrix.RowCount);
+            Vector<double> result = new DenseVector(matrix.RowCount);
             Solve(matrix, vector, result);
             return result;
         }
@@ -220,10 +223,10 @@ namespace MathNet.Numerics.LinearAlgebra.Double.Solvers.Iterative
         /// Solves the matrix equation Ax = b, where A is the coefficient matrix, b is the
         /// solution vector and x is the unknown vector.
         /// </summary>
-        /// <param name="matrix">The coefficient <see cref="Matrix"/>, <c>A</c>.</param>
+        /// <param name="matrix">The coefficient <see cref="Matrix{T}"/>, <c>A</c>.</param>
-        /// <param name="input">The solution <see cref="Vector"/>, <c>b</c>.</param>
+        /// <param name="input">The solution <see cref="Vector{T}"/>, <c>b</c>.</param>
-        /// <param name="result">The result <see cref="Vector"/>, <c>x</c>.</param>
+        /// <param name="result">The result <see cref="Vector{T}"/>, <c>x</c>.</param>
-        public void Solve(Matrix matrix, Vector input, Vector result)
+        public void Solve(Matrix<double> matrix, Vector<double> input, Vector<double> result)
         {
             // If we were stopped before, we are no longer
             // We're doing this at the start of the method to ensure
@@ -273,7 +276,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double.Solvers.Iterative
             // Compute r_0 = b - Ax_0 for some initial guess x_0
             // In this case we take x_0 = vector
             // This is basically a SAXPY so it could be made a lot faster
-            Vector residuals = new DenseVector(matrix.RowCount);
+            Vector<double> residuals = new DenseVector(matrix.RowCount);
             CalculateTrueResidual(matrix, residuals, result, input);
 
             // Choose r~ (for example, r~ = r_0)
@@ -283,12 +286,12 @@ namespace MathNet.Numerics.LinearAlgebra.Double.Solvers.Iterative
             // create five temporary vectors needed to hold temporary
             // coefficients. All vectors are mangled in each iteration.
             // These are defined here to prevent stressing the garbage collector
-            Vector vecP = new DenseVector(residuals.Count);
+            Vector<double> vecP = new DenseVector(residuals.Count);
-            Vector vecPdash = new DenseVector(residuals.Count);
+            Vector<double> vecPdash = new DenseVector(residuals.Count);
-            Vector nu = new DenseVector(residuals.Count);
+            Vector<double> nu = new DenseVector(residuals.Count);
-            Vector vecS = new DenseVector(residuals.Count);
+            Vector<double> vecS = new DenseVector(residuals.Count);
-            Vector vecSdash = new DenseVector(residuals.Count);
+            Vector<double> vecSdash = new DenseVector(residuals.Count);
-            Vector t = new DenseVector(residuals.Count);
+            Vector<double> t = new DenseVector(residuals.Count);
 
             // create some temporary double variables that are needed
             // to hold values in between iterations
@@ -380,8 +383,6 @@ namespace MathNet.Numerics.LinearAlgebra.Double.Solvers.Iterative
 
                 // x_i = x_(i-1) + alpha_i p^ + omega_i s^
                 result.Add(vecSdash.Multiply(omega), result);
-
-                //vecPdash.Multiply(alpha, vecPdash);
                 result.Add(vecPdash.Multiply(alpha), result);
 
                 t.Multiply(-omega, residuals);
@@ -412,11 +413,11 @@ namespace MathNet.Numerics.LinearAlgebra.Double.Solvers.Iterative
         /// <summary>
         /// Calculates the true residual of the matrix equation Ax = b according to: residual = b - Ax
         /// </summary>
-        /// <param name="matrix">Instance of the <see cref="Matrix"/> A.</param>
+        /// <param name="matrix">Instance of the <see cref="Matrix{T}"/> A.</param>
-        /// <param name="residual">Residual values in <see cref="Vector"/>.</param>
+        /// <param name="residual">Residual values in <see cref="Vector{T}"/>.</param>
-        /// <param name="x">Instance of the <see cref="Vector"/> x.</param>
+        /// <param name="x">Instance of the <see cref="Vector{T}"/> x.</param>
-        /// <param name="b">Instance of the <see cref="Vector"/> b.</param>
+        /// <param name="b">Instance of the <see cref="Vector{T}"/> b.</param>
-        private static void CalculateTrueResidual(Matrix matrix, Vector residual, Vector x, Vector b)
+        private static void CalculateTrueResidual(Matrix<double> matrix, Vector<double> residual, Vector<double> x, Vector<double> b)
         {
             // -Ax = residual
             matrix.Multiply(x, residual);
@@ -432,11 +433,11 @@ namespace MathNet.Numerics.LinearAlgebra.Double.Solvers.Iterative
         /// Determine if calculation should continue
         /// </summary>
         /// <param name="iterationNumber">Number of iterations passed</param>
-        /// <param name="result">Result <see cref="Vector"/>.</param>
+        /// <param name="result">Result <see cref="Vector{T}"/>.</param>
-        /// <param name="source">Source <see cref="Vector"/>.</param>
+        /// <param name="source">Source <see cref="Vector{T}"/>.</param>
-        /// <param name="residuals">Residual <see cref="Vector"/>.</param>
+        /// <param name="residuals">Residual <see cref="Vector{T}"/>.</param>
         /// <returns><c>true</c> if continue, otherwise <c>false</c></returns>
-        private bool ShouldContinue(int iterationNumber, Vector result, Vector source, Vector residuals)
+        private bool ShouldContinue(int iterationNumber, Vector<double> result, Vector<double> source, Vector<double> residuals)
         {
             if (_hasBeenStopped)
             {
@@ -457,10 +458,10 @@ namespace MathNet.Numerics.LinearAlgebra.Double.Solvers.Iterative
         /// Solves the matrix equation AX = B, where A is the coefficient matrix, B is the
         /// solution matrix and X is the unknown matrix.
         /// </summary>
-        /// <param name="matrix">The coefficient <see cref="Matrix"/>, <c>A</c>.</param>
+        /// <param name="matrix">The coefficient <see cref="Matrix{T}"/>, <c>A</c>.</param>
-        /// <param name="input">The solution <see cref="Matrix"/>, <c>B</c>.</param>
+        /// <param name="input">The solution <see cref="Matrix{T}"/>, <c>B</c>.</param>
-        /// <returns>The result <see cref="Matrix"/>, <c>X</c>.</returns>
+        /// <returns>The result <see cref="Matrix{T}"/>, <c>X</c>.</returns>
-        public Matrix Solve(Matrix matrix, Matrix input)
+        public Matrix<double> Solve(Matrix<double> matrix, Matrix<double> input)
         {
             if (matrix == null)
             {
@@ -481,10 +482,10 @@ namespace MathNet.Numerics.LinearAlgebra.Double.Solvers.Iterative
         /// Solves the matrix equation AX = B, where A is the coefficient matrix, B is the
         /// solution matrix and X is the unknown matrix.
         /// </summary>
-        /// <param name="matrix">The coefficient <see cref="Matrix"/>, <c>A</c>.</param>
+        /// <param name="matrix">The coefficient <see cref="Matrix{T}"/>, <c>A</c>.</param>
-        /// <param name="input">The solution <see cref="Matrix"/>, <c>B</c>.</param>
+        /// <param name="input">The solution <see cref="Matrix{T}"/>, <c>B</c>.</param>
-        /// <param name="result">The result <see cref="Matrix"/>, <c>X</c></param>
+        /// <param name="result">The result <see cref="Matrix{T}"/>, <c>X</c></param>
-        public void Solve(Matrix matrix, Matrix input, Matrix result)
+        public void Solve(Matrix<double> matrix, Matrix<double> input, Matrix<double> result)
         {
             if (matrix == null)
             {

src/Numerics/LinearAlgebra/Double/Solvers/Iterative/CompositeSolver.cs

@@ -35,8 +35,10 @@ namespace MathNet.Numerics.LinearAlgebra.Double.Solvers.Iterative
     using System.IO;
     using System.Linq;
     using System.Reflection;
+    using Generic;
+    using Generic.Solvers;
+    using Generic.Solvers.Status;
     using Properties;
-    using Status;
 
     /// <summary>
     /// A composite matrix solver. The actual solver is made by a sequence of
@@ -53,7 +55,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double.Solvers.Iterative
     /// Note that if an iterator is passed to this solver it will be used for all the sub-solvers.
     /// </para>
     /// </remarks>
-    public sealed class CompositeSolver : IIterativeSolver
+    public sealed class CompositeSolver : IIterativeSolver<double>
     {
         #region Internal class - DoubleComparer
         /// <summary>
@@ -94,19 +96,19 @@ namespace MathNet.Numerics.LinearAlgebra.Double.Solvers.Iterative
         private static readonly ICalculationStatus RunningStatus = new CalculationRunning();
         
 #if SILVERLIGHT
-        private static readonly Dictionary<double, List<IIterativeSolverSetup>> SolverSetups = new Dictionary<double, List<IIterativeSolverSetup>>();        
+        private static readonly Dictionary<double, List<IIterativeSolverSetup<double>>> SolverSetups = new Dictionary<double, List<IIterativeSolverSetup<double>>>();        
 #else
         /// <summary>
         /// The collection of iterative solver setups. Stored based on the
         /// ratio between the relative speed and relative accuracy.
         /// </summary>
-        private static readonly SortedList<double, List<IIterativeSolverSetup>> SolverSetups = new SortedList<double, List<IIterativeSolverSetup>>(new DoubleComparer());
+        private static readonly SortedList<double, List<IIterativeSolverSetup<double>>> SolverSetups = new SortedList<double, List<IIterativeSolverSetup<double>>>(new DoubleComparer());
 #endif
 
         #region Solver information loading methods
 
         /// <summary>
-        /// Loads all the available <see cref="IIterativeSolverSetup"/> objects from the MathNet.Numerics assembly.
+        /// Loads all the available <see cref="IIterativeSolverSetup{T}"/> objects from the MathNet.Numerics assembly.
         /// </summary>
         public static void LoadSolverInformation()
         {
@@ -114,16 +116,16 @@ namespace MathNet.Numerics.LinearAlgebra.Double.Solvers.Iterative
         }
 
         /// <summary>
-        /// Loads the available <see cref="IIterativeSolverSetup"/> objects from the MathNet.Numerics assembly.
+        /// Loads the available <see cref="IIterativeSolverSetup{T}"/> objects from the MathNet.Numerics assembly.
         /// </summary>
-        /// <param name="typesToExclude">The <see cref="IIterativeSolver"/> types that should not be loaded.</param>
+        /// <param name="typesToExclude">The <see cref="IIterativeSolver{T}"/> types that should not be loaded.</param>
         public static void LoadSolverInformation(Type[] typesToExclude)
         {
             LoadSolverInformationFromAssembly(Assembly.GetExecutingAssembly(), typesToExclude);
         }
 
         /// <summary>
-        /// Loads the available <see cref="IIterativeSolverSetup"/> objects from the assembly specified by the file location.
+        /// Loads the available <see cref="IIterativeSolverSetup{T}"/> objects from the assembly specified by the file location.
         /// </summary>
         /// <param name="assemblyLocation">The fully qualified path to the assembly.</param>
         public static void LoadSolverInformationFromAssembly(string assemblyLocation)
@@ -132,10 +134,10 @@ namespace MathNet.Numerics.LinearAlgebra.Double.Solvers.Iterative
         }
 
         /// <summary>
-        /// Loads the available <see cref="IIterativeSolverSetup"/> objects from the assembly specified by the file location.
+        /// Loads the available <see cref="IIterativeSolverSetup{T}"/> objects from the assembly specified by the file location.
         /// </summary>
         /// <param name="assemblyLocation">The fully qualified path to the assembly.</param>
-        /// <param name="typesToExclude">The <see cref="IIterativeSolver"/> types that should not be loaded. </param>
+        /// <param name="typesToExclude">The <see cref="IIterativeSolver{T}"/> types that should not be loaded. </param>
         public static void LoadSolverInformationFromAssembly(string assemblyLocation, params Type[] typesToExclude)
         {
             if (assemblyLocation == null)
@@ -170,7 +172,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double.Solvers.Iterative
         }
 
         /// <summary>
-        /// Loads the available <see cref="IIterativeSolverSetup"/> objects from the assembly specified by the assembly name.
+        /// Loads the available <see cref="IIterativeSolverSetup{T}"/> objects from the assembly specified by the assembly name.
         /// </summary>
         /// <param name="assemblyName">The <see cref="AssemblyName"/> of the assembly that should be searched for setup objects. </param>
         public static void LoadSolverInformationFromAssembly(AssemblyName assemblyName)
@@ -179,10 +181,10 @@ namespace MathNet.Numerics.LinearAlgebra.Double.Solvers.Iterative
         }
 
         /// <summary>
-        /// Loads the available <see cref="IIterativeSolverSetup"/> objects from the assembly specified by the assembly name.
+        /// Loads the available <see cref="IIterativeSolverSetup{T}"/> objects from the assembly specified by the assembly name.
         /// </summary>
         /// <param name="assemblyName">The <see cref="AssemblyName"/> of the assembly that should be searched for setup objects.</param>
-        /// <param name="typesToExclude">The <see cref="IIterativeSolver"/> types that should not be loaded.</param>
+        /// <param name="typesToExclude">The <see cref="IIterativeSolver{T}"/> types that should not be loaded.</param>
         public static void LoadSolverInformationFromAssembly(AssemblyName assemblyName, params Type[] typesToExclude)
         {
             if (assemblyName == null)
@@ -202,7 +204,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double.Solvers.Iterative
         }
 
         /// <summary>
-        /// Loads the available <see cref="IIterativeSolverSetup"/> objects from the assembly specified by the type.
+        /// Loads the available <see cref="IIterativeSolverSetup{T}"/> objects from the assembly specified by the type.
         /// </summary>
         /// <param name="typeInAssembly">The type in the assembly which should be searched for setup objects.</param>
         public static void LoadSolverInformationFromAssembly(Type typeInAssembly)
@@ -211,10 +213,10 @@ namespace MathNet.Numerics.LinearAlgebra.Double.Solvers.Iterative
         }
 
         /// <summary>
-        /// Loads the available <see cref="IIterativeSolverSetup"/> objects from the assembly specified by the type.
+        /// Loads the available <see cref="IIterativeSolverSetup{T}"/> objects from the assembly specified by the type.
         /// </summary>
         /// <param name="typeInAssembly">The type in the assembly which should be searched for setup objects.</param>
-        /// <param name="typesToExclude">The <see cref="IIterativeSolver"/> types that should not be loaded.</param>
+        /// <param name="typesToExclude">The <see cref="IIterativeSolver{T}"/> types that should not be loaded.</param>
         public static void LoadSolverInformationFromAssembly(Type typeInAssembly, params Type[] typesToExclude)
         {
             if (typeInAssembly == null)
@@ -226,7 +228,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double.Solvers.Iterative
         }
 
         /// <summary>
-        /// Loads the available <see cref="IIterativeSolverSetup"/> objects from the specified assembly.
+        /// Loads the available <see cref="IIterativeSolverSetup{T}"/> objects from the specified assembly.
         /// </summary>
         /// <param name="assembly">The assembly which will be searched for setup objects.</param>
         public static void LoadSolverInformationFromAssembly(Assembly assembly)
@@ -235,10 +237,10 @@ namespace MathNet.Numerics.LinearAlgebra.Double.Solvers.Iterative
         }
 
         /// <summary>
-        /// Loads the available <see cref="IIterativeSolverSetup"/> objects from the specified assembly.
+        /// Loads the available <see cref="IIterativeSolverSetup{T}"/> objects from the specified assembly.
         /// </summary>
         /// <param name="assembly">The assembly which will be searched for setup objects.</param>
-        /// <param name="typesToExclude">The <see cref="IIterativeSolver"/> types that should not be loaded.</param>
+        /// <param name="typesToExclude">The <see cref="IIterativeSolver{T}"/> types that should not be loaded.</param>
         public static void LoadSolverInformationFromAssembly(Assembly assembly, params Type[] typesToExclude)
         {
             if (assembly == null)
@@ -262,18 +264,18 @@ namespace MathNet.Numerics.LinearAlgebra.Double.Solvers.Iterative
             foreach (var type in assembly.GetTypes().Where(type => (!type.IsAbstract && !type.IsEnum && !type.IsInterface && type.IsVisible)))
             {
                 interfaceTypes.AddRange(type.GetInterfaces());
-                if (!interfaceTypes.Any(match => typeof(IIterativeSolverSetup).IsAssignableFrom(match)))
+                if (!interfaceTypes.Any(match => typeof(IIterativeSolverSetup<double>).IsAssignableFrom(match)))
                 {
                     continue;
                 }
 
                 // See if we actually want this type of iterative solver
-                IIterativeSolverSetup setup;
+                IIterativeSolverSetup<double> setup;
                 try
                 {
                     // If something goes wrong we just ignore it and move on with the next type.
                     // There should probably be a log somewhere indicating that something went wrong?
-                    setup = (IIterativeSolverSetup)Activator.CreateInstance(type);
+                    setup = (IIterativeSolverSetup<double>)Activator.CreateInstance(type);
                 }
                 catch (ArgumentException)
                 {
@@ -314,7 +316,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double.Solvers.Iterative
                 var ratio = setup.SolutionSpeed / setup.Reliability;
                 if (!SolverSetups.ContainsKey(ratio))
                 {
-                    SolverSetups.Add(ratio, new List<IIterativeSolverSetup>());
+                    SolverSetups.Add(ratio, new List<IIterativeSolverSetup<double>>());
                 }
 
                 var list = SolverSetups[ratio];
@@ -327,7 +329,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double.Solvers.Iterative
         /// <summary>
         /// The collection of solvers that will be used to 
         /// </summary>
-        private readonly List<IIterativeSolver> _solvers = new List<IIterativeSolver>();
+        private readonly List<IIterativeSolver<double>> _solvers = new List<IIterativeSolver<double>>();
 
         /// <summary>
         /// The status of the calculation.
@@ -337,7 +339,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double.Solvers.Iterative
         /// <summary>
         /// The iterator that is used to control the iteration process.
         /// </summary>
-        private IIterator _iterator;
+        private IIterator<double> _iterator;
 
         /// <summary>
         /// A flag indicating if the solver has been stopped or not.
@@ -348,7 +350,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double.Solvers.Iterative
         /// The solver that is currently running. Reference is used to be able to stop the
         /// solver if the user cancels the solve process.
         /// </summary>
-        private IIterativeSolver _currentSolver;
+        private IIterativeSolver<double> _currentSolver;
 
         /// <summary>
         /// Initializes a new instance of the <see cref="CompositeSolver"/> class with the default iterator.
@@ -361,16 +363,16 @@ namespace MathNet.Numerics.LinearAlgebra.Double.Solvers.Iterative
         /// Initializes a new instance of the <see cref="CompositeSolver"/> class with the specified iterator.
         /// </summary>
         /// <param name="iterator">The iterator that will be used to control the iteration process. </param>
-        public CompositeSolver(IIterator iterator)
+        public CompositeSolver(IIterator<double> iterator)
         {
             _iterator = iterator;
         }
 
         /// <summary>
-        /// Sets the <c>IIterator</c> that will be used to track the iterative process.
+        /// Sets the <see cref="IIterator{T}"/> that will be used to track the iterative process.
         /// </summary>
         /// <param name="iterator">The iterator.</param>
-        public void SetIterator(IIterator iterator)
+        public void SetIterator(IIterator<double> iterator)
         {
             _iterator = iterator;
         }
@@ -408,14 +410,14 @@ namespace MathNet.Numerics.LinearAlgebra.Double.Solvers.Iterative
         /// <param name="matrix">The coefficient matrix, <c>A</c>.</param>
         /// <param name="vector">The solution vector, <c>b</c>.</param>
         /// <returns>The result vector, <c>x</c>.</returns>
-        public Vector Solve(Matrix matrix, Vector vector)
+        public Vector<double> Solve(Matrix<double> matrix, Vector<double> vector)
         {
             if (vector == null)
             {
                 throw new ArgumentNullException();
             }
 
-            Vector result = new DenseVector(matrix.RowCount);
+            Vector<double> result = new DenseVector(matrix.RowCount);
             Solve(matrix, vector, result);
             return result;
         }
@@ -427,7 +429,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double.Solvers.Iterative
         /// <param name="matrix">The coefficient matrix, <c>A</c>.</param>
         /// <param name="input">The solution vector, <c>b</c></param>
         /// <param name="result">The result vector, <c>x</c></param>
-        public void Solve(Matrix matrix, Vector input, Vector result)
+        public void Solve(Matrix<double> matrix, Vector<double> input, Vector<double> result)
         {
             // If we were stopped before, we are no longer
             // We're doing this at the start of the method to ensure
@@ -568,7 +570,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double.Solvers.Iterative
         /// <param name="matrix">The coefficient matrix, <c>A</c>.</param>
         /// <param name="input">The solution matrix, <c>B</c>.</param>
         /// <returns>The result matrix, <c>X</c>.</returns>
-        public Matrix Solve(Matrix matrix, Matrix input)
+        public Matrix<double> Solve(Matrix<double> matrix, Matrix<double> input)
         {
             if (matrix == null)
             {
@@ -592,7 +594,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double.Solvers.Iterative
         /// <param name="matrix">The coefficient matrix, <c>A</c>.</param>
         /// <param name="input">The solution matrix, <c>B</c>.</param>
         /// <param name="result">The result matrix, <c>X</c></param>
-        public void Solve(Matrix matrix, Matrix input, Matrix result)
+        public void Solve(Matrix<double> matrix, Matrix<double> input, Matrix<double> result)
         {
             if (matrix == null)
             {

src/Numerics/LinearAlgebra/Double/Solvers/Iterative/GpBiCg.cs

@@ -31,9 +31,12 @@
 namespace MathNet.Numerics.LinearAlgebra.Double.Solvers.Iterative
 {
     using System;
+    using Generic;
+    using Generic.Solvers;
+    using Generic.Solvers.Preconditioners;
+    using Generic.Solvers.Status;
     using Preconditioners;
     using Properties;
-    using Status;
 
     /// <summary>
     /// A Generalized Product Bi-Conjugate Gradient iterative matrix solver.
@@ -62,7 +65,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double.Solvers.Iterative
     /// solver.
     /// </para>
     /// </remarks>
-    public sealed class GpBiCg : IIterativeSolver
+    public sealed class GpBiCg : IIterativeSolver<double>
     {
         /// <summary>
         /// The status used if there is no status, i.e. the solver hasn't run yet and there is no
@@ -74,12 +77,12 @@ namespace MathNet.Numerics.LinearAlgebra.Double.Solvers.Iterative
         /// The preconditioner that will be used. Can be set to <c>null</c>, in which case the default
         /// pre-conditioner will be used.
         /// </summary>
-        private IPreConditioner _preconditioner;
+        private IPreConditioner<double> _preconditioner;
 
         /// <summary>
         /// The iterative process controller.
         /// </summary>
-        private IIterator _iterator;
+        private IIterator<double> _iterator;
 
         /// <summary>
         /// Indicates the number of <c>BiCGStab</c> steps should be taken 
@@ -102,7 +105,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double.Solvers.Iterative
         /// Initializes a new instance of the <see cref="GpBiCg"/> class.
         /// </summary>
         /// <remarks>
-        /// When using this constructor the solver will use the <see cref="IIterator"/> with
+        /// When using this constructor the solver will use the <see cref="IIterator{T}"/> with
         /// the standard settings and a default preconditioner.
         /// </remarks>
         public GpBiCg() : this(null, null)
@@ -117,18 +120,18 @@ namespace MathNet.Numerics.LinearAlgebra.Double.Solvers.Iterative
         /// When using this constructor the solver will use a default preconditioner.
         /// </para>
         /// <para>
-        /// The main advantages of using a user defined <see cref="IIterator"/> are:
+        /// The main advantages of using a user defined <see cref="IIterator{T}"/> are:
         /// <list type="number">
         /// <item>It is possible to set the desired convergence limits.</item>
         /// <item>
         /// It is possible to check the reason for which the solver finished 
-        /// the iterative procedure by calling the <see cref="IIterator.Status"/> property.
+        /// the iterative procedure by calling the <see cref="IIterator{T}.Status"/> property.
         /// </item>
         /// </list>
         /// </para>
         /// </remarks>
-        /// <param name="iterator">The <see cref="IIterator"/> that will be used to monitor the iterative process.</param>
+        /// <param name="iterator">The <see cref="IIterator{T}"/> that will be used to monitor the iterative process.</param>
-        public GpBiCg(IIterator iterator) : this(null, iterator)
+        public GpBiCg(IIterator<double> iterator) : this(null, iterator)
         {
         }
 
@@ -136,11 +139,11 @@ namespace MathNet.Numerics.LinearAlgebra.Double.Solvers.Iterative
         /// Initializes a new instance of the <see cref="GpBiCg"/> class.
         /// </summary>
         /// <remarks>
-        /// When using this constructor the solver will use the <see cref="IIterator"/> with
+        /// When using this constructor the solver will use the <see cref="IIterator{T}"/> with
         /// the standard settings.
         /// </remarks>
-        /// <param name="preconditioner">The <see cref="IPreConditioner"/> that will be used to precondition the matrix equation.</param>
+        /// <param name="preconditioner">The <see cref="IPreConditioner{T}"/> that will be used to precondition the matrix equation.</param>
-        public GpBiCg(IPreConditioner preconditioner) : this(preconditioner, null)
+        public GpBiCg(IPreConditioner<double> preconditioner) : this(preconditioner, null)
         {
         }
 
@@ -149,19 +152,19 @@ namespace MathNet.Numerics.LinearAlgebra.Double.Solvers.Iterative
         /// </summary>
         /// <remarks>
         /// <para>
-        /// The main advantages of using a user defined <see cref="IIterator"/> are:
+        /// The main advantages of using a user defined <see cref="IIterator{T}"/> are:
         /// <list type="number">
         /// <item>It is possible to set the desired convergence limits.</item>
         /// <item>
         /// It is possible to check the reason for which the solver finished 
-        /// the iterative procedure by calling the <see cref="IIterator.Status"/> property.
+        /// the iterative procedure by calling the <see cref="IIterator{T}.Status"/> property.
         /// </item>
         /// </list>
         /// </para>
         /// </remarks>
-        /// <param name="preconditioner">The <see cref="IPreConditioner"/> that will be used to precondition the matrix equation.</param>
+        /// <param name="preconditioner">The <see cref="IPreConditioner{T}"/> that will be used to precondition the matrix equation.</param>
-        /// <param name="iterator">The <see cref="IIterator"/> that will be used to monitor the iterative process.</param>
+        /// <param name="iterator">The <see cref="IIterator{T}"/> that will be used to monitor the iterative process.</param>
-        public GpBiCg(IPreConditioner preconditioner, IIterator iterator)
+        public GpBiCg(IPreConditioner<double> preconditioner, IIterator<double> iterator)
         {
             _iterator = iterator;
             _preconditioner = preconditioner;
@@ -212,19 +215,19 @@ namespace MathNet.Numerics.LinearAlgebra.Double.Solvers.Iterative
         }
 
         /// <summary>
-        /// Sets the <see cref="IPreConditioner"/> that will be used to precondition the iterative process.
+        /// Sets the <see cref="IPreConditioner{T}"/> that will be used to precondition the iterative process.
         /// </summary>
         /// <param name="preconditioner">The preconditioner.</param>
-        public void SetPreconditioner(IPreConditioner preconditioner)
+        public void SetPreconditioner(IPreConditioner<double> preconditioner)
         {
             _preconditioner = preconditioner;
         }
 
         /// <summary>
-        /// Sets the <see cref="IIterator"/> that will be used to track the iterative process.
+        /// Sets the <see cref="IIterator{T}"/> that will be used to track the iterative process.
         /// </summary>
         /// <param name="iterator">The iterator.</param>
-        public void SetIterator(IIterator iterator)
+        public void SetIterator(IIterator<double> iterator)
         {
             _iterator = iterator;
         }
@@ -259,14 +262,14 @@ namespace MathNet.Numerics.LinearAlgebra.Double.Solvers.Iterative
         /// <param name="matrix">The coefficient matrix, <c>A</c>.</param>
         /// <param name="vector">The solution vector, <c>b</c>.</param>
         /// <returns>The result vector, <c>x</c>.</returns>
-        public Vector Solve(Matrix matrix, Vector vector)
+        public Vector<double> Solve(Matrix<double> matrix, Vector<double> vector)
         {
             if (vector == null)
             {
                 throw new ArgumentNullException();
             }
 
-            Vector result = new DenseVector(matrix.RowCount);
+            Vector<double> result = new DenseVector(matrix.RowCount);
             Solve(matrix, vector, result);
             return result;
         }
@@ -278,7 +281,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double.Solvers.Iterative
         /// <param name="matrix">The coefficient matrix, <c>A</c>.</param>
         /// <param name="input">The solution vector, <c>b</c></param>
         /// <param name="result">The result vector, <c>x</c></param>
-        public void Solve(Matrix matrix, Vector input, Vector result)
+        public void Solve(Matrix<double> matrix, Vector<double> input, Vector<double> result)
         {
             // If we were stopped before, we are no longer
             // We're doing this at the start of the method to ensure
@@ -328,11 +331,11 @@ namespace MathNet.Numerics.LinearAlgebra.Double.Solvers.Iterative
 
             // x_0 is initial guess
             // Take x_0 = 0
-            Vector xtemp = new DenseVector(input.Count);
+            Vector<double> xtemp = new DenseVector(input.Count);
 
             // r_0 = b - Ax_0
             // This is basically a SAXPY so it could be made a lot faster
-            Vector residuals = new DenseVector(matrix.RowCount);
+            Vector<double> residuals = new DenseVector(matrix.RowCount);
             CalculateTrueResidual(matrix, residuals, xtemp, input);
 
             // Define the temporary scalars
@@ -341,24 +344,24 @@ namespace MathNet.Numerics.LinearAlgebra.Double.Solvers.Iterative
 
             // Define the temporary vectors
             // rDash_0 = r_0
-            Vector rdash = new DenseVector(residuals);
+            Vector<double> rdash = new DenseVector(residuals);
 
             // t_-1 = 0
-            Vector t = new DenseVector(residuals.Count);
+            Vector<double> t = new DenseVector(residuals.Count);
-            Vector t0 = new DenseVector(residuals.Count);
+            Vector<double> t0 = new DenseVector(residuals.Count);
 
             // w_-1 = 0
-            Vector w = new DenseVector(residuals.Count);
+            Vector<double> w = new DenseVector(residuals.Count);
 
             // Define the remaining temporary vectors
-            Vector c = new DenseVector(residuals.Count);
+            Vector<double> c = new DenseVector(residuals.Count);
-            Vector p = new DenseVector(residuals.Count);
+            Vector<double> p = new DenseVector(residuals.Count);
-            Vector s = new DenseVector(residuals.Count);
+            Vector<double> s = new DenseVector(residuals.Count);
-            Vector u = new DenseVector(residuals.Count);
+            Vector<double> u = new DenseVector(residuals.Count);
-            Vector y = new DenseVector(residuals.Count);
+            Vector<double> y = new DenseVector(residuals.Count);
-            Vector z = new DenseVector(residuals.Count);
+            Vector<double> z = new DenseVector(residuals.Count);
-
+
-            Vector temp = new DenseVector(residuals.Count);
+            Vector<double> temp = new DenseVector(residuals.Count);
          
             // for (k = 0, 1, .... )
             var iterationNumber = 0;
@@ -499,11 +502,11 @@ namespace MathNet.Numerics.LinearAlgebra.Double.Solvers.Iterative
         /// <summary>
         /// Calculates the true residual of the matrix equation Ax = b according to: residual = b - Ax
         /// </summary>
-        /// <param name="matrix">Instance of the <see cref="Matrix"/> A.</param>
+        /// <param name="matrix">Instance of the <see cref="Matrix{T}"/> A.</param>
-        /// <param name="residual">Residual values in <see cref="Vector"/>.</param>
+        /// <param name="residual">Residual values in <see cref="Vector{T}"/>.</param>
-        /// <param name="x">Instance of the <see cref="Vector"/> x.</param>
+        /// <param name="x">Instance of the <see cref="Vector{T}"/> x.</param>
-        /// <param name="b">Instance of the <see cref="Vector"/> b.</param>
+        /// <param name="b">Instance of the <see cref="Vector{T}"/> b.</param>
-        private static void CalculateTrueResidual(Matrix matrix, Vector residual, Vector x, Vector b)
+        private static void CalculateTrueResidual(Matrix<double> matrix, Vector<double> residual, Vector<double> x, Vector<double> b)
         {
             // -Ax = residual
             matrix.Multiply(x, residual);
@@ -517,11 +520,11 @@ namespace MathNet.Numerics.LinearAlgebra.Double.Solvers.Iterative
         /// Determine if calculation should continue
         /// </summary>
         /// <param name="iterationNumber">Number of iterations passed</param>
-        /// <param name="result">Result <see cref="Vector"/>.</param>
+        /// <param name="result">Result <see cref="Vector{T}"/>.</param>
-        /// <param name="source">Source <see cref="Vector"/>.</param>
+        /// <param name="source">Source <see cref="Vector{T}"/>.</param>
-        /// <param name="residuals">Residual <see cref="Vector"/>.</param>
+        /// <param name="residuals">Residual <see cref="Vector{T}"/>.</param>
         /// <returns><c>true</c> if continue, otherwise <c>false</c></returns>
-        private bool ShouldContinue(int iterationNumber, Vector result, Vector source, Vector residuals)
+        private bool ShouldContinue(int iterationNumber, Vector<double> result, Vector<double> source, Vector<double> residuals)
         {
             if (_hasBeenStopped)
             {
@@ -562,7 +565,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double.Solvers.Iterative
         /// <param name="matrix">The coefficient matrix, <c>A</c>.</param>
         /// <param name="input">The solution matrix, <c>B</c>.</param>
         /// <returns>The result matrix, <c>X</c>.</returns>
-        public Matrix Solve(Matrix matrix, Matrix input)
+        public Matrix<double> Solve(Matrix<double> matrix, Matrix<double> input)
         {
             if (matrix == null)
             {
@@ -586,7 +589,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double.Solvers.Iterative
         /// <param name="matrix">The coefficient matrix, <c>A</c>.</param>
         /// <param name="input">The solution matrix, <c>B</c>.</param>
         /// <param name="result">The result matrix, <c>X</c></param>
-        public void Solve(Matrix matrix, Matrix input, Matrix result)
+        public void Solve(Matrix<double> matrix, Matrix<double> input, Matrix<double> result)
         {
             if (matrix == null)
             {

src/Numerics/LinearAlgebra/Double/Solvers/Iterative/MlkBiCgStab.cs

@@ -36,9 +36,12 @@ namespace MathNet.Numerics.LinearAlgebra.Double.Solvers.Iterative
     using System.Linq;
     using Distributions;
     using Factorization;
+    using Generic;
+    using Generic.Solvers;
+    using Generic.Solvers.Preconditioners;
+    using Generic.Solvers.Status;
     using Preconditioners;
     using Properties;
-    using Status;
 
     /// <summary>
     /// A Multiple-Lanczos Bi-Conjugate Gradient stabilized iterative matrix solver.
@@ -63,7 +66,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double.Solvers.Iterative
     /// solver.
     /// </para>
     /// </remarks>
-    public sealed class MlkBiCgStab : IIterativeSolver
+    public sealed class MlkBiCgStab : IIterativeSolver<double>
     {
         /// <summary>
         /// The default number of starting vectors.
@@ -80,17 +83,17 @@ namespace MathNet.Numerics.LinearAlgebra.Double.Solvers.Iterative
         /// The preconditioner that will be used. Can be set to <see langword="null" />, in which case the default
         /// pre-conditioner will be used.
         /// </summary>
-        private IPreConditioner _preconditioner;
+        private IPreConditioner<double> _preconditioner;
 
         /// <summary>
         /// The iterative process controller.
         /// </summary>
-        private IIterator _iterator;
+        private IIterator<double> _iterator;
 
         /// <summary>
         /// The collection of starting vectors which are used as the basis for the Krylov sub-space.
         /// </summary>
-        private IList<Vector> _startingVectors;
+        private IList<Vector<double>> _startingVectors;
 
         /// <summary>
         /// The number of starting vectors used by the algorithm
@@ -106,7 +109,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double.Solvers.Iterative
         /// Initializes a new instance of the <see cref="MlkBiCgStab"/> class.
         /// </summary>
         /// <remarks>
-        /// When using this constructor the solver will use the <see cref="IIterator"/> with
+        /// When using this constructor the solver will use the <see cref="IIterator{T}"/> with
         /// the standard settings and a default preconditioner.
         /// </remarks>
         public MlkBiCgStab() : this(null, null)
@@ -121,18 +124,18 @@ namespace MathNet.Numerics.LinearAlgebra.Double.Solvers.Iterative
         /// When using this constructor the solver will use a default preconditioner.
         /// </para>
         /// <para>
-        /// The main advantages of using a user defined <see cref="IIterator"/> are:
+        /// The main advantages of using a user defined <see cref="IIterator{T}"/> are:
         /// <list type="number">
         /// <item>It is possible to set the desired convergence limits.</item>
         /// <item>
         /// It is possible to check the reason for which the solver finished 
-        /// the iterative procedure by calling the <see cref="IIterator.Status"/> property.
+        /// the iterative procedure by calling the <see cref="IIterator{T}.Status"/> property.
         /// </item>
         /// </list>
         /// </para>
         /// </remarks>
-        /// <param name="iterator">The <see cref="IIterator"/> that will be used to monitor the iterative process.</param>
+        /// <param name="iterator">The <see cref="IIterator{T}"/> that will be used to monitor the iterative process.</param>
-        public MlkBiCgStab(IIterator iterator) : this(null, iterator)
+        public MlkBiCgStab(IIterator<double> iterator) : this(null, iterator)
         {
         }
 
@@ -140,11 +143,11 @@ namespace MathNet.Numerics.LinearAlgebra.Double.Solvers.Iterative
         /// Initializes a new instance of the <see cref="MlkBiCgStab"/> class.
         /// </summary>
         /// <remarks>
-        /// When using this constructor the solver will use the <see cref="IIterator"/> with
+        /// When using this constructor the solver will use the <see cref="IIterator{T}"/> with
         /// the standard settings.
         /// </remarks>
-        /// <param name="preconditioner">The <see cref="IPreConditioner"/> that will be used to precondition the matrix equation.</param>
+        /// <param name="preconditioner">The <see cref="IPreConditioner{T}"/> that will be used to precondition the matrix equation.</param>
-        public MlkBiCgStab(IPreConditioner preconditioner) : this(preconditioner, null)
+        public MlkBiCgStab(IPreConditioner<double> preconditioner) : this(preconditioner, null)
         {
         }
 
@@ -153,19 +156,19 @@ namespace MathNet.Numerics.LinearAlgebra.Double.Solvers.Iterative
         /// </summary>
         /// <remarks>
         /// <para>
-        /// The main advantages of using a user defined <see cref="IIterator"/> are:
+        /// The main advantages of using a user defined <see cref="IIterator{T}"/> are:
         /// <list type="number">
         /// <item>It is possible to set the desired convergence limits.</item>
         /// <item>
         /// It is possible to check the reason for which the solver finished 
-        /// the iterative procedure by calling the <see cref="IIterator.Status"/> property.
+        /// the iterative procedure by calling the <see cref="IIterator{T}.Status"/> property.
         /// </item>
         /// </list>
         /// </para>
         /// </remarks>
-        /// <param name="preconditioner">The <see cref="IPreConditioner"/> that will be used to precondition the matrix equation.</param>
+        /// <param name="preconditioner">The <see cref="IPreConditioner{T}"/> that will be used to precondition the matrix equation.</param>
-        /// <param name="iterator">The <see cref="IIterator"/> that will be used to monitor the iterative process.</param>
+        /// <param name="iterator">The <see cref="IIterator{T}"/> that will be used to monitor the iterative process.</param>
-        public MlkBiCgStab(IPreConditioner preconditioner, IIterator iterator)
+        public MlkBiCgStab(IPreConditioner<double> preconditioner, IIterator<double> iterator)
         {
             _iterator = iterator;
             _preconditioner = preconditioner;
@@ -207,19 +210,19 @@ namespace MathNet.Numerics.LinearAlgebra.Double.Solvers.Iterative
         }
 
         /// <summary>
-        /// Sets the <see cref="IPreConditioner"/> that will be used to precondition the iterative process.
+        /// Sets the <see cref="IPreConditioner{T}"/> that will be used to precondition the iterative process.
         /// </summary>
         /// <param name="preconditioner">The preconditioner.</param>
-        public void SetPreconditioner(IPreConditioner preconditioner)
+        public void SetPreconditioner(IPreConditioner<double> preconditioner)
         {
             _preconditioner = preconditioner;
         }
 
         /// <summary>
-        /// Sets the <see cref="IIterator"/> that will be used to track the iterative process.
+        /// Sets the <see cref="IIterator{T}"/> that will be used to track the iterative process.
         /// </summary>
         /// <param name="iterator">The iterator.</param>
-        public void SetIterator(IIterator iterator)
+        public void SetIterator(IIterator<double> iterator)
         {
             _iterator = iterator;
         }
@@ -228,7 +231,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double.Solvers.Iterative
         /// Gets or sets a series of orthonormal vectors which will be used as basis for the 
         /// Krylov sub-space.
         /// </summary>
-        public IList<Vector> StartingVectors
+        public IList<Vector<double>> StartingVectors
         {
             [DebuggerStepThrough]
             get
@@ -280,14 +283,14 @@ namespace MathNet.Numerics.LinearAlgebra.Double.Solvers.Iterative
         /// <param name="matrix">The coefficient matrix, <c>A</c>.</param>
         /// <param name="vector">The solution vector, <c>b</c>.</param>
         /// <returns>The result vector, <c>x</c>.</returns>
-        public Vector Solve(Matrix matrix, Vector vector)
+        public Vector<double> Solve(Matrix<double> matrix, Vector<double> vector)
         {
             if (vector == null)
             {
                 throw new ArgumentNullException();
             }
 
-            Vector result = new DenseVector(matrix.RowCount);
+            Vector<double> result = new DenseVector(matrix.RowCount);
             Solve(matrix, vector, result);
             return result;
         }
@@ -299,7 +302,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double.Solvers.Iterative
         /// <param name="matrix">The coefficient matrix, <c>A</c>.</param>
         /// <param name="input">The solution vector, <c>b</c></param>
         /// <param name="result">The result vector, <c>x</c></param>
-        public void Solve(Matrix matrix, Vector input, Vector result)
+        public void Solve(Matrix<double> matrix, Vector<double> input, Vector<double> result)
         {
             // If we were stopped before, we are no longer
             // We're doing this at the start of the method to ensure
@@ -348,7 +351,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double.Solvers.Iterative
 
             // Choose an initial guess x_0
             // Take x_0 = 0
-            Vector xtemp = new DenseVector(input.Count);
+            Vector<double> xtemp = new DenseVector(input.Count);
 
             // Choose k vectors q_1, q_2, ..., q_k
             // Build a new set if:
@@ -377,23 +380,23 @@ namespace MathNet.Numerics.LinearAlgebra.Double.Solvers.Iterative
 
             // r_0 = b - Ax_0
             // This is basically a SAXPY so it could be made a lot faster
-            Vector residuals = new DenseVector(matrix.RowCount);
+            Vector<double> residuals = new DenseVector(matrix.RowCount);
             CalculateTrueResidual(matrix, residuals, xtemp, input);
 
             // Define the temporary scalars
             var c = new double[k];
 
             // Define the temporary vectors
-            Vector gtemp = new DenseVector(residuals.Count);
+            Vector<double> gtemp = new DenseVector(residuals.Count);
 
-            Vector u = new DenseVector(residuals.Count);
+            Vector<double> u = new DenseVector(residuals.Count);
-            Vector utemp = new DenseVector(residuals.Count);
+            Vector<double> utemp = new DenseVector(residuals.Count);
-            Vector temp = new DenseVector(residuals.Count);
+            Vector<double> temp = new DenseVector(residuals.Count);
-            Vector temp1 = new DenseVector(residuals.Count);
+            Vector<double> temp1 = new DenseVector(residuals.Count);
 
-            Vector zd = new DenseVector(residuals.Count);
+            Vector<double> zd = new DenseVector(residuals.Count);
-            Vector zg = new DenseVector(residuals.Count);
+            Vector<double> zg = new DenseVector(residuals.Count);
-            Vector zw = new DenseVector(residuals.Count);
+            Vector<double> zw = new DenseVector(residuals.Count);
 
             var d = CreateVectorArray(_startingVectors.Count, residuals.Count);
             
@@ -611,7 +614,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double.Solvers.Iterative
         ///  the <paramref name="numberOfVariables"/> is smaller than 
         ///  the <paramref name="maximumNumberOfStartingVectors"/>.
         /// </returns>
-        private static IList<Vector> CreateStartingVectors(int maximumNumberOfStartingVectors, int numberOfVariables)
+        private static IList<Vector<double>> CreateStartingVectors(int maximumNumberOfStartingVectors, int numberOfVariables)
         {
             // Create no more starting vectors than the size of the problem - 1
             // Get random values and then orthogonalize them with
@@ -622,7 +625,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double.Solvers.Iterative
             // mean = 0 and sd = 1
             var distribution = new Normal();
 
-            Matrix matrix = new DenseMatrix(numberOfVariables, count);
+            Matrix<double> matrix = new DenseMatrix(numberOfVariables, count);
             for (var i = 0; i < matrix.ColumnCount; i++)
             {
                 var samples = distribution.Samples().Take(matrix.RowCount).ToArray();
@@ -636,7 +639,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double.Solvers.Iterative
             var orthogonalMatrix = gs.Q;
 
             // Now transfer this to vectors
-            var result = new List<Vector>();
+            var result = new List<Vector<double>>();
             for (var i = 0; i < orthogonalMatrix.ColumnCount; i++)
             {
                 result.Add(orthogonalMatrix.Column(i));
@@ -654,9 +657,9 @@ namespace MathNet.Numerics.LinearAlgebra.Double.Solvers.Iterative
         /// <param name="arraySize">Number of vectors</param>
         /// <param name="vectorSize">Size of each vector</param>
         /// <returns>Array of random vectors</returns>
-        private static Vector[] CreateVectorArray(int arraySize, int vectorSize)
+        private static Vector<double>[] CreateVectorArray(int arraySize, int vectorSize)
         {
-            var result = new Vector[arraySize];
+            var result = new Vector<double>[arraySize];
             for (var i = 0; i < result.Length; i++)
             {
                 result[i] = new DenseVector(vectorSize);
@@ -668,11 +671,11 @@ namespace MathNet.Numerics.LinearAlgebra.Double.Solvers.Iterative
         /// <summary>
         /// Calculates the true residual of the matrix equation Ax = b according to: residual = b - Ax
         /// </summary>
-        /// <param name="matrix">Source <see cref="Matrix"/>A.</param>
+        /// <param name="matrix">Source <see cref="Matrix{T}"/>A.</param>
-        /// <param name="residual">Residual <see cref="Vector"/> data.</param>
+        /// <param name="residual">Residual <see cref="Vector{T}"/> data.</param>
-        /// <param name="x">x <see cref="Vector"/> data.</param>
+        /// <param name="x">x <see cref="Vector{T}"/> data.</param>
-        /// <param name="b">b <see cref="Vector"/> data.</param>
+        /// <param name="b">b <see cref="Vector{T}"/> data.</param>
-        private static void CalculateTrueResidual(Matrix matrix, Vector residual, Vector x, Vector b)
+        private static void CalculateTrueResidual(Matrix<double> matrix, Vector<double> residual, Vector<double> x, Vector<double> b)
         {
             // -Ax = residual
             matrix.Multiply(x, residual);
@@ -686,11 +689,11 @@ namespace MathNet.Numerics.LinearAlgebra.Double.Solvers.Iterative
         /// Determine if calculation should continue
         /// </summary>
         /// <param name="iterationNumber">Number of iterations passed</param>
-        /// <param name="result">Result <see cref="Vector"/>.</param>
+        /// <param name="result">Result <see cref="Vector{T}"/>.</param>
-        /// <param name="source">Source <see cref="Vector"/>.</param>
+        /// <param name="source">Source <see cref="Vector{T}"/>.</param>
-        /// <param name="residuals">Residual <see cref="Vector"/>.</param>
+        /// <param name="residuals">Residual <see cref="Vector{T}"/>.</param>
         /// <returns><c>true</c> if continue, otherwise <c>false</c></returns>
-        private bool ShouldContinue(int iterationNumber, Vector result, Vector source, Vector residuals)
+        private bool ShouldContinue(int iterationNumber, Vector<double> result, Vector<double> source, Vector<double> residuals)
         {
             if (_hasBeenStopped)
             {
@@ -714,7 +717,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double.Solvers.Iterative
         /// <param name="matrix">The coefficient matrix, <c>A</c>.</param>
         /// <param name="input">The solution matrix, <c>B</c>.</param>
         /// <returns>The result matrix, <c>X</c>.</returns>
-        public Matrix Solve(Matrix matrix, Matrix input)
+        public Matrix<double> Solve(Matrix<double> matrix, Matrix<double> input)
         {
             if (matrix == null)
             {
@@ -738,7 +741,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double.Solvers.Iterative
         /// <param name="matrix">The coefficient matrix, <c>A</c>.</param>
         /// <param name="input">The solution matrix, <c>B</c>.</param>
         /// <param name="result">The result matrix, <c>X</c></param>
-        public void Solve(Matrix matrix, Matrix input, Matrix result)
+        public void Solve(Matrix<double> matrix, Matrix<double> input, Matrix<double> result)
         {
             if (matrix == null)
             {

src/Numerics/LinearAlgebra/Double/Solvers/Iterative/TFQMR.cs

@@ -31,9 +31,12 @@
 namespace MathNet.Numerics.LinearAlgebra.Double.Solvers.Iterative
 {
     using System;
+    using Generic;
+    using Generic.Solvers;
+    using Generic.Solvers.Preconditioners;
+    using Generic.Solvers.Status;
     using Preconditioners;
     using Properties;
-    using Status;
 
     /// <summary>
     /// A Transpose Free Quasi-Minimal Residual (TFQMR) iterative matrix solver.
@@ -52,7 +55,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double.Solvers.Iterative
     /// solver.
     /// </para>
     /// </remarks>
-    public sealed class TFQMR : IIterativeSolver
+    public sealed class TFQMR : IIterativeSolver<double>
     {
         /// <summary>
         /// The status used if there is no status, i.e. the solver hasn't run yet and there is no
@@ -64,12 +67,12 @@ namespace MathNet.Numerics.LinearAlgebra.Double.Solvers.Iterative
         /// The preconditioner that will be used. Can be set to <see langword="null" />, in which case the default
         /// pre-conditioner will be used.
         /// </summary>
-        private IPreConditioner _preconditioner;
+        private IPreConditioner<double> _preconditioner;
 
         /// <summary>
         /// The iterative process controller.
         /// </summary>
-        private IIterator _iterator;
+        private IIterator<double> _iterator;
 
         /// <summary>
         /// Indicates if the user has stopped the solver.
@@ -80,7 +83,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double.Solvers.Iterative
         /// Initializes a new instance of the <see cref="TFQMR"/> class.
         /// </summary>
         /// <remarks>
-        /// When using this constructor the solver will use the <see cref="IIterator"/> with
+        /// When using this constructor the solver will use the <see cref="IIterator{T}"/> with
         /// the standard settings and a default preconditioner.
         /// </remarks>
         public TFQMR() : this(null, null)
@@ -95,18 +98,18 @@ namespace MathNet.Numerics.LinearAlgebra.Double.Solvers.Iterative
         /// When using this constructor the solver will use a default preconditioner.
         /// </para>
         /// <para>
-        /// The main advantages of using a user defined <see cref="IIterator"/> are:
+        /// The main advantages of using a user defined <see cref="IIterator{T}"/> are:
         /// <list type="number">
         /// <item>It is possible to set the desired convergence limits.</item>
         /// <item>
         /// It is possible to check the reason for which the solver finished 
-        /// the iterative procedure by calling the <see cref="IIterator.Status"/> property.
+        /// the iterative procedure by calling the <see cref="IIterator{T}.Status"/> property.
         /// </item>
         /// </list>
         /// </para>
         /// </remarks>
-        /// <param name="iterator">The <see cref="IIterator"/> that will be used to monitor the iterative process.</param>
+        /// <param name="iterator">The <see cref="IIterator{T}"/> that will be used to monitor the iterative process.</param>
-        public TFQMR(IIterator iterator) : this(null, iterator)
+        public TFQMR(IIterator<double> iterator) : this(null, iterator)
         {
         }
 
@@ -114,11 +117,11 @@ namespace MathNet.Numerics.LinearAlgebra.Double.Solvers.Iterative
         /// Initializes a new instance of the <see cref="TFQMR"/> class.
         /// </summary>
         /// <remarks>
-        /// When using this constructor the solver will use the <see cref="IIterator"/> with
+        /// When using this constructor the solver will use the <see cref="IIterator{T}"/> with
         /// the standard settings.
         /// </remarks>
-        /// <param name="preconditioner">The <see cref="IPreConditioner"/> that will be used to precondition the matrix equation.</param>
+        /// <param name="preconditioner">The <see cref="IPreConditioner{T}"/> that will be used to precondition the matrix equation.</param>
-        public TFQMR(IPreConditioner preconditioner) : this(preconditioner, null)
+        public TFQMR(IPreConditioner<double> preconditioner) : this(preconditioner, null)
         {
         }
 
@@ -127,38 +130,38 @@ namespace MathNet.Numerics.LinearAlgebra.Double.Solvers.Iterative
         /// </summary>
         /// <remarks>
         /// <para>
-        /// The main advantages of using a user defined <see cref="IIterator"/> are:
+        /// The main advantages of using a user defined <see cref="IIterator{T}"/> are:
         /// <list type="number">
         /// <item>It is possible to set the desired convergence limits.</item>
         /// <item>
         /// It is possible to check the reason for which the solver finished 
-        /// the iterative procedure by calling the <see cref="IIterator.Status"/> property.
+        /// the iterative procedure by calling the <see cref="IIterator{T}.Status"/> property.
         /// </item>
         /// </list>
         /// </para>
         /// </remarks>
-        /// <param name="preconditioner">The <see cref="IPreConditioner"/> that will be used to precondition the matrix equation.</param>
+        /// <param name="preconditioner">The <see cref="IPreConditioner{T}"/> that will be used to precondition the matrix equation.</param>
-        /// <param name="iterator">The <see cref="IIterator"/> that will be used to monitor the iterative process.</param>
+        /// <param name="iterator">The <see cref="IIterator{T}"/> that will be used to monitor the iterative process.</param>
-        public TFQMR(IPreConditioner preconditioner, IIterator iterator)
+        public TFQMR(IPreConditioner<double> preconditioner, IIterator<double> iterator)
         {
             _iterator = iterator;
             _preconditioner = preconditioner;
         }
 
         /// <summary>
-        /// Sets the <see cref="IPreConditioner"/> that will be used to precondition the iterative process.
+        /// Sets the <see cref="IPreConditioner{T}"/> that will be used to precondition the iterative process.
         /// </summary>
         /// <param name="preconditioner">The preconditioner.</param>
-        public void SetPreconditioner(IPreConditioner preconditioner)
+        public void SetPreconditioner(IPreConditioner<double> preconditioner)
         {
             _preconditioner = preconditioner;
         }
 
         /// <summary>
-        /// Sets the <see cref="IIterator"/> that will be used to track the iterative process.
+        /// Sets the <see cref="IIterator{T}"/> that will be used to track the iterative process.
         /// </summary>
         /// <param name="iterator">The iterator.</param>
-        public void SetIterator(IIterator iterator)
+        public void SetIterator(IIterator<double> iterator)
         {
             _iterator = iterator;
         }
@@ -192,14 +195,14 @@ namespace MathNet.Numerics.LinearAlgebra.Double.Solvers.Iterative
         /// <param name="matrix">The coefficient matrix, <c>A</c>.</param>
         /// <param name="vector">The solution vector, <c>b</c>.</param>
         /// <returns>The result vector, <c>x</c>.</returns>
-        public Vector Solve(Matrix matrix, Vector vector)
+        public Vector<double> Solve(Matrix<double> matrix, Vector<double> vector)
         {
             if (vector == null)
             {
                 throw new ArgumentNullException();
             }
 
-            Vector result = new DenseVector(matrix.RowCount);
+            Vector<double> result = new DenseVector(matrix.RowCount);
             Solve(matrix, vector, result);
             return result;
         }
@@ -211,7 +214,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double.Solvers.Iterative
         /// <param name="matrix">The coefficient matrix, <c>A</c>.</param>
         /// <param name="input">The solution vector, <c>b</c></param>
         /// <param name="result">The result vector, <c>x</c></param>
-        public void Solve(Matrix matrix, Vector input, Vector result)
+        public void Solve(Matrix<double> matrix, Vector<double> input, Vector<double> result)
         {
             // If we were stopped before, we are no longer
             // We're doing this at the start of the method to ensure
@@ -410,11 +413,11 @@ namespace MathNet.Numerics.LinearAlgebra.Double.Solvers.Iterative
         /// <summary>
         /// Calculates the true residual of the matrix equation Ax = b according to: residual = b - Ax
         /// </summary>
-        /// <param name="matrix">Instance of the <see cref="Matrix"/> A.</param>
+        /// <param name="matrix">Instance of the <see cref="Matrix{T}"/> A.</param>
-        /// <param name="residual">Residual values in <see cref="Vector"/>.</param>
+        /// <param name="residual">Residual values in <see cref="Vector{T}"/>.</param>
-        /// <param name="x">Instance of the <see cref="Vector"/> x.</param>
+        /// <param name="x">Instance of the <see cref="Vector{T}"/> x.</param>
-        /// <param name="b">Instance of the <see cref="Vector"/> b.</param>
+        /// <param name="b">Instance of the <see cref="Vector{T}"/> b.</param>
-        private static void CalculateTrueResidual(Matrix matrix, Vector residual, Vector x, Vector b)
+        private static void CalculateTrueResidual(Matrix<double> matrix, Vector<double> residual, Vector<double> x, Vector<double> b)
         {
             // -Ax = residual
             matrix.Multiply(x, residual);
@@ -428,11 +431,11 @@ namespace MathNet.Numerics.LinearAlgebra.Double.Solvers.Iterative
         /// Determine if calculation should continue
         /// </summary>
         /// <param name="iterationNumber">Number of iterations passed</param>
-        /// <param name="result">Result <see cref="Vector"/>.</param>
+        /// <param name="result">Result <see cref="Vector{T}"/>.</param>
-        /// <param name="source">Source <see cref="Vector"/>.</param>
+        /// <param name="source">Source <see cref="Vector{T}"/>.</param>
-        /// <param name="residuals">Residual <see cref="Vector"/>.</param>
+        /// <param name="residuals">Residual <see cref="Vector{T}"/>.</param>
         /// <returns><c>true</c> if continue, otherwise <c>false</c></returns>
-        private bool ShouldContinue(int iterationNumber, Vector result, Vector source, Vector residuals)
+        private bool ShouldContinue(int iterationNumber, Vector<double> result, Vector<double> source, Vector<double> residuals)
         {
             if (_hasBeenStopped)
             {
@@ -466,7 +469,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double.Solvers.Iterative
         /// <param name="matrix">The coefficient matrix, <c>A</c>.</param>
         /// <param name="input">The solution matrix, <c>B</c>.</param>
         /// <returns>The result matrix, <c>X</c>.</returns>
-        public Matrix Solve(Matrix matrix, Matrix input)
+        public Matrix<double> Solve(Matrix<double> matrix, Matrix<double> input)
         {
             if (matrix == null)
             {
@@ -490,7 +493,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double.Solvers.Iterative
         /// <param name="matrix">The coefficient matrix, <c>A</c>.</param>
         /// <param name="input">The solution matrix, <c>B</c>.</param>
         /// <param name="result">The result matrix, <c>X</c></param>
-        public void Solve(Matrix matrix, Matrix input, Matrix result)
+        public void Solve(Matrix<double> matrix, Matrix<double> input, Matrix<double> result)
         {
             if (matrix == null)
             {

src/Numerics/LinearAlgebra/Double/Solvers/Iterator.cs

@@ -33,14 +33,17 @@ namespace MathNet.Numerics.LinearAlgebra.Double.Solvers
     using System;
     using System.Collections.Generic;
     using System.Linq;
+    using Generic;
+    using Generic.Solvers;
+    using Generic.Solvers.Status;
+    using Generic.Solvers.StopCriterium;
     using Properties;
-    using Status;
     using StopCriterium;
 
     /// <summary>
     /// An iterator that is used to check if an iterative calculation should continue or stop.
     /// </summary>
-    public sealed class Iterator : IIterator
+    public sealed class Iterator : IIterator<double>
     {
         /// <summary>
         /// The default status for the iterator.
@@ -48,10 +51,10 @@ namespace MathNet.Numerics.LinearAlgebra.Double.Solvers
         private static readonly ICalculationStatus DefaultStatus = new CalculationIndetermined();
 
         /// <summary>
-        /// Creates a default iterator with all the <see cref="IIterationStopCriterium"/> objects.
+        /// Creates a default iterator with all the <see cref="IIterationStopCriterium{T}"/> objects.
         /// </summary>
-        /// <returns>A new <see cref="IIterator"/> object.</returns>
+        /// <returns>A new <see cref="IIterator{T}"/> object.</returns>
-        public static IIterator CreateDefault()
+        public static IIterator<double> CreateDefault()
         {
             var iterator = new Iterator();
             iterator.Add(new FailureStopCriterium());
@@ -66,7 +69,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double.Solvers
         /// The collection that holds all the stop criteria and the flag indicating if they should be added
         /// to the child iterators.
         /// </summary>
-        private readonly Dictionary<Type, IIterationStopCriterium> _stopCriterias = new Dictionary<Type, IIterationStopCriterium>();
+        private readonly Dictionary<Type, IIterationStopCriterium<double>> _stopCriterias = new Dictionary<Type, IIterationStopCriterium<double>>();
 
         /// <summary>
         /// The status of the iterator.
@@ -93,7 +96,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double.Solvers
         /// of the stop criteria will be passed on to child iterators.
         /// </param>
         /// <exception cref="ArgumentException">Thrown if <paramref name="stopCriteria"/> contains multiple stop criteria of the same type.</exception>
-        public Iterator(IEnumerable<IIterationStopCriterium> stopCriteria)
+        public Iterator(IEnumerable<IIterationStopCriterium<double>> stopCriteria)
         {
             // Add the stop criteria
             if (stopCriteria == null)
@@ -108,7 +111,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double.Solvers
         }
 
         /// <summary>
-        /// Adds an <see cref="IIterationStopCriterium"/> to the internal collection of stop-criteria. Only a 
+        /// Adds an <see cref="IIterationStopCriterium{T}"/> to the internal collection of stop-criteria. Only a 
         /// single stop criterium of each type can be stored.
         /// </summary>
         /// <param name="stopCriterium">The stop criterium to add.</param>
@@ -117,7 +120,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double.Solvers
         /// Thrown if <paramref name="stopCriterium"/> is of the same type as an already 
         /// stored criterium.
         /// </exception>
-        public void Add(IIterationStopCriterium stopCriterium)
+        public void Add(IIterationStopCriterium<double> stopCriterium)
         {
             if (stopCriterium == null)
             {
@@ -134,10 +137,10 @@ namespace MathNet.Numerics.LinearAlgebra.Double.Solvers
         }
 
         /// <summary>
-        /// Removes the <see cref="IIterationStopCriterium"/> from the internal collection.
+        /// Removes the <see cref="IIterationStopCriterium{T}"/> from the internal collection.
         /// </summary>
         /// <param name="stopCriterium">The stop criterium that must be removed.</param>
-        public void Remove(IIterationStopCriterium stopCriterium)
+        public void Remove(IIterationStopCriterium<double> stopCriterium)
         {
             if (stopCriterium == null)
             {
@@ -154,11 +157,11 @@ namespace MathNet.Numerics.LinearAlgebra.Double.Solvers
         }
 
         /// <summary>
-        /// Indicates if the specific stop criterium is stored by the <see cref="IIterator"/>.
+        /// Indicates if the specific stop criterium is stored by the <see cref="IIterator{T}"/>.
         /// </summary>
         /// <param name="stopCriterium">The stop criterium.</param>
-        /// <returns><c>true</c> if the <see cref="IIterator"/> contains the stop criterium; otherwise <c>false</c>.</returns>
+        /// <returns><c>true</c> if the <see cref="IIterator{T}"/> contains the stop criterium; otherwise <c>false</c>.</returns>
-        public bool Contains(IIterationStopCriterium stopCriterium)
+        public bool Contains(IIterationStopCriterium<double> stopCriterium)
         {
             return stopCriterium != null && _stopCriterias.ContainsKey(stopCriterium.GetType());
         }
@@ -179,7 +182,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double.Solvers
         /// Gets an <c>IEnumerator</c> that enumerates over all the stored stop criteria.
         /// </summary>
         /// <remarks>Used for testing only.</remarks>
-        internal IEnumerator<IIterationStopCriterium> StoredStopCriteria
+        internal IEnumerator<IIterationStopCriterium<double>> StoredStopCriteria
         {
             get
             {
@@ -201,7 +204,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double.Solvers
 
         /// <summary>
         /// Determines the status of the iterative calculation based on the stop criteria stored
-        /// by the current <c>IIterator</c>. Result is set into <c>Status</c> field.
+        /// by the current <see cref="IIterator{T}"/>. Result is set into <c>Status</c> field.
         /// </summary>
         /// <param name="iterationNumber">The number of iterations that have passed so far.</param>
         /// <param name="solutionVector">The vector containing the current solution values.</param>
@@ -212,7 +215,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double.Solvers
         /// on the invocation of this method. Therefore this method should only be called if the 
         /// calculation has moved forwards at least one step.
         /// </remarks>
-        public void DetermineStatus(int iterationNumber, Vector solutionVector, Vector sourceVector, Vector residualVector)
+        public void DetermineStatus(int iterationNumber, Vector<double> solutionVector, Vector<double> sourceVector, Vector<double> residualVector)
         {
             if (_stopCriterias.Count == 0)
             {
@@ -284,7 +287,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double.Solvers
         }
 
         /// <summary>
-        /// Resets the <see cref="IIterator"/> to the pre-calculation state.
+        /// Resets the <see cref="IIterator{T}"/> to the pre-calculation state.
         /// </summary>
         public void ResetToPrecalculationState()
         {
@@ -305,9 +308,9 @@ namespace MathNet.Numerics.LinearAlgebra.Double.Solvers
         /// Creates a deep clone of the current iterator.
         /// </summary>
         /// <returns>The deep clone of the current iterator.</returns>
-        public IIterator Clone()
+        public IIterator<double> Clone()
         {
-            var stopCriteria = _stopCriterias.Select(pair => pair.Value).Select(stopCriterium => (IIterationStopCriterium)stopCriterium.Clone()).ToList();
+            var stopCriteria = _stopCriterias.Select(pair => pair.Value).Select(stopCriterium => (IIterationStopCriterium<double>)stopCriterium.Clone()).ToList();
             return new Iterator(stopCriteria);
         }
 

src/Numerics/LinearAlgebra/Double/Solvers/Preconditioners/Diagonal.cs

@@ -31,13 +31,15 @@
 namespace MathNet.Numerics.LinearAlgebra.Double.Solvers.Preconditioners
 {
     using System;
+    using Generic;
+    using Generic.Solvers.Preconditioners;
     using Properties;
 
     /// <summary>
     /// A diagonal preconditioner. The preconditioner uses the inverse
     /// of the matrix diagonal as preconditioning values.
     /// </summary>
-    public sealed class Diagonal : IPreConditioner
+    public sealed class Diagonal : IPreConditioner<double>
     {
         /// <summary>
         /// The inverse of the matrix diagonal.
@@ -63,10 +65,10 @@ namespace MathNet.Numerics.LinearAlgebra.Double.Solvers.Preconditioners
         /// Initializes the preconditioner and loads the internal data structures.
         /// </summary>
         /// <param name="matrix">
-        /// The <see cref="Matrix"/> upon which this preconditioner is based.</param>
+        /// The <see cref="Matrix{T}"/> upon which this preconditioner is based.</param>
         /// <exception cref="ArgumentNullException">If <paramref name="matrix"/> is <see langword="null" />. </exception>
         /// <exception cref="ArgumentException">If <paramref name="matrix"/> is not a square matrix.</exception>
-        public void Initialize(Matrix matrix)
+        public void Initialize(Matrix<double> matrix)
         {
             if (matrix == null)
             {
@@ -90,7 +92,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double.Solvers.Preconditioners
         /// </summary>
         /// <param name="rhs">The right hand side vector.</param>
         /// <returns>The left hand side vector.</returns>
-        public Vector Approximate(Vector rhs)
+        public Vector<double> Approximate(Vector<double> rhs)
         {
             if (rhs == null)
             {
@@ -107,7 +109,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double.Solvers.Preconditioners
                 throw new ArgumentException(Resources.ArgumentVectorsSameLength, "rhs");
             }
 
-            Vector result = new DenseVector(rhs.Count);
+            Vector<double> result = new DenseVector(rhs.Count);
             Approximate(rhs, result);
             return result;
         }
@@ -117,7 +119,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double.Solvers.Preconditioners
         /// </summary>
         /// <param name="rhs">The right hand side vector.</param>
         /// <param name="lhs">The left hand side vector. Also known as the result vector.</param>
-        public void Approximate(Vector rhs, Vector lhs)
+        public void Approximate(Vector<double> rhs, Vector<double> lhs)
         {
             if (rhs == null)
             {

src/Numerics/LinearAlgebra/Double/Solvers/Preconditioners/Ilutp.cs

@@ -32,6 +32,8 @@ namespace MathNet.Numerics.LinearAlgebra.Double.Solvers.Preconditioners
 {
     using System;
     using System.Collections.Generic;
+    using Generic;
+    using Generic.Solvers.Preconditioners;
     using Properties;
 
     /// <summary>
@@ -51,7 +53,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double.Solvers.Preconditioners
     /// pp. 20 - 28 <br/>
     /// Algorithm is described in Section 2, page 22
     /// </remarks>
-    public sealed class Ilutp : IPreConditioner
+    public sealed class Ilutp : IPreConditioner<double>
     {
         /// <summary>
         /// The default fill level.
@@ -255,7 +257,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double.Solvers.Preconditioners
         /// This method is used for debugging purposes only and should normally not be used.
         /// </remarks>
         /// <returns>A new matrix containing the upper triagonal elements.</returns>
-        internal Matrix UpperTriangle()
+        internal Matrix<double> UpperTriangle()
         {
             return _upper.Clone();
         }
@@ -267,7 +269,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double.Solvers.Preconditioners
         /// This method is used for debugging purposes only and should normally not be used.
         /// </remarks>
         /// <returns>A new matrix containing the lower triagonal elements.</returns>
-        internal Matrix LowerTriangle()
+        internal Matrix<double> LowerTriangle()
         {
             return _lower.Clone();
         }
@@ -295,13 +297,13 @@ namespace MathNet.Numerics.LinearAlgebra.Double.Solvers.Preconditioners
         /// Initializes the preconditioner and loads the internal data structures.
         /// </summary>
         /// <param name="matrix">
-        /// The <see cref="Matrix"/> upon which this preconditioner is based. Note that the 
+        /// The <see cref="Matrix{T}"/> upon which this preconditioner is based. Note that the 
         /// method takes a general matrix type. However internally the data is stored 
         /// as a sparse matrix. Therefore it is not recommended to pass a dense matrix.
         /// </param>
         /// <exception cref="ArgumentNullException"> If <paramref name="matrix"/> is <see langword="null" />.</exception>
         /// <exception cref="ArgumentException">If <paramref name="matrix"/> is not a square matrix.</exception>
-        public void Initialize(Matrix matrix)
+        public void Initialize(Matrix<double> matrix)
         {
             if (matrix == null)
             {
@@ -373,8 +375,8 @@ namespace MathNet.Numerics.LinearAlgebra.Double.Solvers.Preconditioners
                 _pivots[i] = i;
             }
 
-            Vector workVector = new DenseVector(sparseMatrix.RowCount);
+            Vector<double> workVector = new DenseVector(sparseMatrix.RowCount);
-            Vector rowVector = new DenseVector(sparseMatrix.ColumnCount);
+            Vector<double> rowVector = new DenseVector(sparseMatrix.ColumnCount);
             var indexSorting = new int[sparseMatrix.RowCount];
             
             // spaceLeft = lfilNnz * nnz(A)
@@ -529,8 +531,8 @@ namespace MathNet.Numerics.LinearAlgebra.Double.Solvers.Preconditioners
         /// <summary>
         /// Pivot elements in the <paramref name="row"/> according to internal pivot array
         /// </summary>
-        /// <param name="row">Row <see cref="Vector"/> to pivot in</param>
+        /// <param name="row">Row <see cref="Vector{T}"/> to pivot in</param>
-        private void PivotRow(Vector row)
+        private void PivotRow(Vector<double> row)
         {
             var knownPivots = new Dictionary<int, int>();
             
@@ -577,12 +579,12 @@ namespace MathNet.Numerics.LinearAlgebra.Double.Solvers.Preconditioners
         }
 
         /// <summary>
-        /// Swap columns in the <see cref="Matrix"/>
+        /// Swap columns in the <see cref="Matrix{T}"/>
         /// </summary>
-        /// <param name="matrix">Source <see cref="Matrix"/>.</param>
+        /// <param name="matrix">Source <see cref="Matrix{T}"/>.</param>
         /// <param name="firstColumn">First column index to swap</param>
         /// <param name="secondColumn">Second column index to swap</param>
-        private static void SwapColumns(Matrix matrix, int firstColumn, int secondColumn)
+        private static void SwapColumns(Matrix<double> matrix, int firstColumn, int secondColumn)
         {
             for (var i = 0; i < matrix.RowCount; i++)
             {
@@ -598,8 +600,8 @@ namespace MathNet.Numerics.LinearAlgebra.Double.Solvers.Preconditioners
         /// <param name="lowerBound">Start sort form</param>
         /// <param name="upperBound">Sort till upper bound</param>
         /// <param name="sortedIndices">Array with sorted vector indicies</param>
-        /// <param name="values">Source <see cref="Vector"/></param>
+        /// <param name="values">Source <see cref="Vector{T}"/></param>
-        private static void FindLargestItems(int lowerBound, int upperBound, int[] sortedIndices, Vector values)
+        private static void FindLargestItems(int lowerBound, int upperBound, int[] sortedIndices, Vector<double> values)
         {
             // Copy the indices for the values into the array
             for (var i = 0; i < upperBound + 1 - lowerBound; i++)
@@ -624,7 +626,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double.Solvers.Preconditioners
         /// </summary>
         /// <param name="rhs">The right hand side vector.</param>
         /// <returns>The left hand side vector.</returns>
-        public Vector Approximate(Vector rhs)
+        public Vector<double> Approximate(Vector<double> rhs)
         {
             if (rhs == null)
             {
@@ -641,7 +643,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double.Solvers.Preconditioners
                 throw new ArgumentException(Resources.ArgumentVectorsSameLength, "rhs");
             }
 
-            Vector result = new DenseVector(rhs.Count);
+            Vector<double> result = new DenseVector(rhs.Count);
             Approximate(rhs, result);
             return result;
         }
@@ -651,7 +653,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double.Solvers.Preconditioners
         /// </summary>
         /// <param name="rhs">The right hand side vector.</param>
         /// <param name="lhs">The left hand side vector. Also known as the result vector.</param>
-        public void Approximate(Vector rhs, Vector lhs)
+        public void Approximate(Vector<double> rhs, Vector<double> lhs)
         {
             if (rhs == null)
             {
@@ -676,7 +678,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double.Solvers.Preconditioners
             // Solve equation here
             // Pivot(vector, result);
             // Solve L*Y = B(piv,:)
-            Vector rowValues = new DenseVector(_lower.RowCount);
+            Vector<double> rowValues = new DenseVector(_lower.RowCount);
             for (var i = 0; i < _lower.RowCount; i++)
             {
                 _lower.Row(i, rowValues);
@@ -712,11 +714,11 @@ namespace MathNet.Numerics.LinearAlgebra.Double.Solvers.Preconditioners
         }
 
         /// <summary>
-        /// Pivot elements in <see cref="Vector"/> accoring to internal pivot array
+        /// Pivot elements in <see cref="Vector{T}"/> accoring to internal pivot array
         /// </summary>
-        /// <param name="vector">Source <see cref="Vector"/>.</param>
+        /// <param name="vector">Source <see cref="Vector{T}"/>.</param>
-        /// <param name="result">Result <see cref="Vector"/> after pivoting.</param>
+        /// <param name="result">Result <see cref="Vector{T}"/> after pivoting.</param>
-        private void Pivot(Vector vector, Vector result)
+        private void Pivot(Vector<double> vector, Vector<double> result)
         {
             for (var i = 0; i < _pivots.Length; i++)
             {

src/Numerics/LinearAlgebra/Double/Solvers/Preconditioners/IlutpElementSorter.cs

@@ -30,6 +30,8 @@
 
 namespace MathNet.Numerics.LinearAlgebra.Double.Solvers.Preconditioners
 {
+    using Generic;
+
     /// <summary>
     /// An element sort algorithm for the <see cref="Ilutp"/> class.
     /// </summary>
@@ -46,8 +48,8 @@ namespace MathNet.Numerics.LinearAlgebra.Double.Solvers.Preconditioners
         /// <param name="lowerBound">The starting index.</param>
         /// <param name="upperBound">The stopping index.</param>
         /// <param name="sortedIndices">An array that will contain the sorted indices once the algorithm finishes.</param>
-        /// <param name="values">The <see cref="Vector"/> that contains the values that need to be sorted.</param>
+        /// <param name="values">The <see cref="Vector{T}"/> that contains the values that need to be sorted.</param>
-        public static void SortDoubleIndicesDecreasing(int lowerBound, int upperBound, int[] sortedIndices, Vector values)
+        public static void SortDoubleIndicesDecreasing(int lowerBound, int upperBound, int[] sortedIndices, Vector<double> values)
         {
             // Move all the indices that we're interested in to the beginning of the
             // array. Ignore the rest of the indices.
@@ -72,8 +74,8 @@ namespace MathNet.Numerics.LinearAlgebra.Double.Solvers.Preconditioners
         /// <param name="lowerBound">The starting index.</param>
         /// <param name="upperBound">The stopping index.</param>
         /// <param name="sortedIndices">An array that will contain the sorted indices once the algorithm finishes.</param>
-        /// <param name="values">The <see cref="Vector"/> that contains the values that need to be sorted.</param>
+        /// <param name="values">The <see cref="Vector{T}"/> that contains the values that need to be sorted.</param>
-        private static void HeapSortDoublesIndices(int lowerBound, int upperBound, int[] sortedIndices, Vector values)
+        private static void HeapSortDoublesIndices(int lowerBound, int upperBound, int[] sortedIndices, Vector<double> values)
         {
             var start = ((upperBound - lowerBound + 1) / 2) - 1 + lowerBound;
             var end = (upperBound - lowerBound + 1) - 1 + lowerBound;
@@ -94,8 +96,8 @@ namespace MathNet.Numerics.LinearAlgebra.Double.Solvers.Preconditioners
         /// <param name="start">Root position</param>
         /// <param name="count">Lenght of <paramref name="values"/></param>
         /// <param name="sortedIndices">Indicies of <paramref name="values"/></param>
-        /// <param name="values">Target <see cref="Vector"/></param>
+        /// <param name="values">Target <see cref="Vector{T}"/></param>
-        private static void BuildDoubleIndexHeap(int start, int count, int[] sortedIndices, Vector values)
+        private static void BuildDoubleIndexHeap(int start, int count, int[] sortedIndices, Vector<double> values)
         {
             while (start >= 0)
             {
@@ -108,10 +110,10 @@ namespace MathNet.Numerics.LinearAlgebra.Double.Solvers.Preconditioners
         /// Sift double indicies
         /// </summary>
         /// <param name="sortedIndices">Indicies of <paramref name="values"/></param>
-        /// <param name="values">Target <see cref="Vector"/></param>
+        /// <param name="values">Target <see cref="Vector{T}"/></param>
         /// <param name="begin">Root position</param>
         /// <param name="count">Lenght of <paramref name="values"/></param>
-        private static void SiftDoubleIndices(int[] sortedIndices, Vector values, int begin, int count)
+        private static void SiftDoubleIndices(int[] sortedIndices, Vector<double> values, int begin, int count)
         {
             var root = begin;
             int child;

src/Numerics/LinearAlgebra/Double/Solvers/Preconditioners/IncompleteLU.cs

@@ -31,6 +31,8 @@
 namespace MathNet.Numerics.LinearAlgebra.Double.Solvers.Preconditioners
 {
     using System;
+    using Generic;
+    using Generic.Solvers.Preconditioners;
     using Properties;
 
     /// <summary>
@@ -42,7 +44,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double.Solvers.Preconditioners
     /// Yousef Saad <br/>
     /// Algorithm is described in Chapter 10, section 10.3.2, page 275 <br/>
     /// </remarks>
-    public sealed class IncompleteLU : IPreConditioner
+    public sealed class IncompleteLU : IPreConditioner<double>
     {
         /// <summary>
         /// The matrix holding the lower (L) and upper (U) matrices. The
@@ -54,7 +56,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double.Solvers.Preconditioners
         /// Returns the upper triagonal matrix that was created during the LU decomposition.
         /// </summary>
         /// <returns>A new matrix containing the upper triagonal elements.</returns>
-        internal Matrix UpperTriangle()
+        internal Matrix<double> UpperTriangle()
         {
             var result = new SparseMatrix(_decompositionLU.RowCount);
             for (var i = 0; i < _decompositionLU.RowCount; i++)
@@ -72,7 +74,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double.Solvers.Preconditioners
         /// Returns the lower triagonal matrix that was created during the LU decomposition.
         /// </summary>
         /// <returns>A new matrix containing the lower triagonal elements.</returns>
-        internal Matrix LowerTriangle()
+        internal Matrix<double> LowerTriangle()
         {
             var result = new SparseMatrix(_decompositionLU.RowCount);
             for (var i = 0; i < _decompositionLU.RowCount; i++)
@@ -99,7 +101,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double.Solvers.Preconditioners
         /// <param name="matrix">The matrix upon which the preconditioner is based. </param>
         /// <exception cref="ArgumentNullException">If <paramref name="matrix"/> is <see langword="null" />.</exception>
         /// <exception cref="ArgumentException">If <paramref name="matrix"/> is not a square matrix.</exception>
-        public void Initialize(Matrix matrix)
+        public void Initialize(Matrix<double> matrix)
         {
             if (matrix == null)
             {
@@ -161,7 +163,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double.Solvers.Preconditioners
         /// </summary>
         /// <param name="rhs">The right hand side vector.</param>
         /// <returns>The left hand side vector.</returns>
-        public Vector Approximate(Vector rhs)
+        public Vector<double> Approximate(Vector<double> rhs)
         {
             if (rhs == null)
             {
@@ -178,7 +180,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double.Solvers.Preconditioners
                 throw new ArgumentException(Resources.ArgumentVectorsSameLength, "rhs");
             }
 
-            Vector result = new DenseVector(rhs.Count);
+            Vector<double> result = new DenseVector(rhs.Count);
             Approximate(rhs, result);
             return result;
         }
@@ -188,7 +190,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double.Solvers.Preconditioners
         /// </summary>
         /// <param name="rhs">The right hand side vector.</param>
         /// <param name="lhs">The left hand side vector. Also known as the result vector.</param>
-        public void Approximate(Vector rhs, Vector lhs)
+        public void Approximate(Vector<double> rhs, Vector<double> lhs)
         {
             if (rhs == null)
             {
@@ -218,7 +220,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double.Solvers.Preconditioners
             //     z_i = l_ii^-1 * (y_i - SUM_(j<i) l_ij * z_j)
             // }
             // NOTE: l_ii should be 1 because u_ii has to be the value
-            Vector rowValues = new DenseVector(_decompositionLU.RowCount);
+            Vector<double> rowValues = new DenseVector(_decompositionLU.RowCount);
             for (var i = 0; i < _decompositionLU.RowCount; i++)
             {
                 // Clear the rowValues 

src/Numerics/LinearAlgebra/Double/Solvers/Preconditioners/UnitPreconditioner.cs

@@ -31,14 +31,17 @@
 namespace MathNet.Numerics.LinearAlgebra.Double.Solvers.Preconditioners
 {
     using System;
+    using Generic;
+    using Generic.Solvers;
+    using Generic.Solvers.Preconditioners;
     using Properties;
 
     /// <summary>
     /// A unit preconditioner. This preconditioner does not actually do anything
-    /// it is only used when running an <see cref="IIterativeSolver"/> without
+    /// it is only used when running an <see cref="IIterativeSolver{T}"/> without
     /// a preconditioner.
     /// </summary>
-    internal sealed class UnitPreconditioner : IPreConditioner
+    internal sealed class UnitPreconditioner : IPreConditioner<double>
     {
         /// <summary>
         /// The coefficient matrix on which this preconditioner operates.
@@ -54,7 +57,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double.Solvers.Preconditioners
         /// </param>
         /// <exception cref="ArgumentNullException">If <paramref name="matrix"/> is <see langword="null"/>. </exception>
         /// <exception cref="ArgumentException">If <paramref name="matrix"/> is not a square matrix.</exception>
-        public void Initialize(Matrix matrix)
+        public void Initialize(Matrix<double> matrix)
         {
             if (matrix == null)
             {
@@ -87,7 +90,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double.Solvers.Preconditioners
         ///     If the size of <paramref name="rhs"/> is different the number of rows of the coefficient matrix.
         ///   </para>
         /// </exception>
-        public void Approximate(Vector rhs, Vector lhs)
+        public void Approximate(Vector<double> rhs, Vector<double> lhs)
         {
             if (rhs == null)
             {
@@ -116,7 +119,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double.Solvers.Preconditioners
         /// <exception cref="ArgumentException">
         /// If the size of <paramref name="rhs"/> is different the number of rows of the coefficient matrix.
         /// </exception>
-        public Vector Approximate(Vector rhs)
+        public Vector<double> Approximate(Vector<double> rhs)
         {
             if (rhs == null)
             {
@@ -128,7 +131,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double.Solvers.Preconditioners
                 throw new ArgumentException(Resources.ArgumentMatrixDimensions);
             }
 
-            Vector result = new DenseVector(rhs.Count);
+            Vector<double> result = new DenseVector(rhs.Count);
             Approximate(rhs, result);
             return result;
         }

src/Numerics/LinearAlgebra/Double/Solvers/StopCriterium/DivergenceStopCriterium.cs

@@ -32,12 +32,14 @@ namespace MathNet.Numerics.LinearAlgebra.Double.Solvers.StopCriterium
 {
     using System;
     using System.Diagnostics;
-    using Status;
+    using Generic;
+    using Generic.Solvers.Status;
+    using Generic.Solvers.StopCriterium;
 
     /// <summary>
     /// Monitors an iterative calculation for signs of divergence.
     /// </summary>
-    public sealed class DivergenceStopCriterium : IIterationStopCriterium
+    public sealed class DivergenceStopCriterium : IIterationStopCriterium<double>
     {
         /// <summary>
         /// Default value for the maximum relative increase that the 
@@ -205,7 +207,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double.Solvers.StopCriterium
 
         /// <summary>
         /// Determines the status of the iterative calculation based on the stop criteria stored
-        /// by the current <see cref="IIterationStopCriterium"/>. Result is set into <c>Status</c> field.
+        /// by the current <see cref="IIterationStopCriterium{T}"/>. Result is set into <c>Status</c> field.
         /// </summary>
         /// <param name="iterationNumber">The number of iterations that have passed so far.</param>
         /// <param name="solutionVector">The vector containing the current solution values.</param>
@@ -216,7 +218,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double.Solvers.StopCriterium
         /// on the invocation of this method. Therefore this method should only be called if the 
         /// calculation has moved forwards at least one step.
         /// </remarks>
-        public void DetermineStatus(int iterationNumber, Vector solutionVector, Vector sourceVector, Vector residualVector)
+        public void DetermineStatus(int iterationNumber, Vector<double> solutionVector, Vector<double> sourceVector, Vector<double> residualVector)
         {
             if (iterationNumber < 0)
             {
@@ -345,7 +347,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double.Solvers.StopCriterium
         }
 
         /// <summary>
-        /// Resets the <see cref="IIterationStopCriterium"/> to the pre-calculation state.
+        /// Resets the <see cref="IIterationStopCriterium{T}"/> to the pre-calculation state.
         /// </summary>
         public void ResetToPrecalculationState()
         {
@@ -356,9 +358,9 @@ namespace MathNet.Numerics.LinearAlgebra.Double.Solvers.StopCriterium
 
         /// <summary>
         /// Gets the <see cref="StopLevel"/> which indicates what sort of stop criterium this
-        /// <see cref="IIterationStopCriterium"/> monitors.
+        /// <see cref="IIterationStopCriterium{T}"/> monitors.
         /// </summary>
-        /// <value>Returns <see cref="StopCriterium.StopLevel.Divergence"/>.</value>
+        /// <value>Returns <see cref="Generic.Solvers.StopCriterium.StopLevel.Divergence"/>.</value>
         public StopLevel StopLevel
         {
             [DebuggerStepThrough]
@@ -372,7 +374,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double.Solvers.StopCriterium
         /// Clones the current <see cref="DivergenceStopCriterium"/> and its settings.
         /// </summary>
         /// <returns>A new instance of the <see cref="DivergenceStopCriterium"/> class.</returns>
-        public IIterationStopCriterium Clone()
+        public IIterationStopCriterium<double> Clone()
         {
             return new DivergenceStopCriterium(_maximumRelativeIncrease, _minimumNumberOfIterations);
         }

src/Numerics/LinearAlgebra/Double/Solvers/StopCriterium/FailureStopCriterium.cs

@@ -32,13 +32,15 @@ namespace MathNet.Numerics.LinearAlgebra.Double.Solvers.StopCriterium
 {
     using System;
     using System.Diagnostics;
+    using Generic;
+    using Generic.Solvers.Status;
+    using Generic.Solvers.StopCriterium;
     using Properties;
-    using Status;
 
     /// <summary>
-    /// Defines an <see cref="IIterationStopCriterium"/> that monitors residuals for NaN's.
+    /// Defines an <see cref="IIterationStopCriterium{T}"/> that monitors residuals for NaN's.
     /// </summary>
-    public sealed class FailureStopCriterium : IIterationStopCriterium
+    public sealed class FailureStopCriterium : IIterationStopCriterium<double>
     {
         /// <summary>
         /// Defines the default last iteration number. Set to -1 because iterations normally
@@ -63,7 +65,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double.Solvers.StopCriterium
 
         /// <summary>
         /// Determines the status of the iterative calculation based on the stop criteria stored
-        /// by the current <see cref="IIterationStopCriterium"/>. Result is set into <c>Status</c> field.
+        /// by the current <see cref="IIterationStopCriterium{T}"/>. Result is set into <c>Status</c> field.
         /// </summary>
         /// <param name="iterationNumber">The number of iterations that have passed so far.</param>
         /// <param name="solutionVector">The vector containing the current solution values.</param>
@@ -74,7 +76,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double.Solvers.StopCriterium
         /// on the invocation of this method. Therefore this method should only be called if the 
         /// calculation has moved forwards at least one step.
         /// </remarks>
-        public void DetermineStatus(int iterationNumber, Vector solutionVector, Vector sourceVector, Vector residualVector)
+        public void DetermineStatus(int iterationNumber, Vector<double> solutionVector, Vector<double> sourceVector, Vector<double> residualVector)
         {
             if (iterationNumber < 0)
             {
@@ -154,7 +156,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double.Solvers.StopCriterium
         }
 
         /// <summary>
-        /// Resets the <see cref="IIterationStopCriterium"/> to the pre-calculation state.
+        /// Resets the <see cref="IIterationStopCriterium{T}"/> to the pre-calculation state.
         /// </summary>
         public void ResetToPrecalculationState()
         {
@@ -164,7 +166,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double.Solvers.StopCriterium
 
         /// <summary>
         /// Gets the <see cref="StopLevel"/>which indicates what sort of stop criterium this
-        /// <see cref="IIterationStopCriterium"/> monitors.
+        /// <see cref="IIterationStopCriterium{T}"/> monitors.
         /// </summary>
         /// <value>Returns <see cref="CalculationFailure"/>.</value>
         public StopLevel StopLevel
@@ -180,7 +182,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double.Solvers.StopCriterium
         /// Clones the current <see cref="FailureStopCriterium"/> and its settings.
         /// </summary>
         /// <returns>A new instance of the <see cref="FailureStopCriterium"/> class.</returns>
-        public IIterationStopCriterium Clone()
+        public IIterationStopCriterium<double> Clone()
         {
             return new FailureStopCriterium();
         }

src/Numerics/LinearAlgebra/Double/Solvers/StopCriterium/IterationCountStopCriterium.cs

@@ -32,13 +32,15 @@ namespace MathNet.Numerics.LinearAlgebra.Double.Solvers.StopCriterium
 {
     using System;
     using System.Diagnostics;
-    using Status;
+    using Generic;
+    using Generic.Solvers.Status;
+    using Generic.Solvers.StopCriterium;
 
     /// <summary>
-    /// Defines an <see cref="IIterationStopCriterium"/> that monitors the numbers of iteration 
+    /// Defines an <see cref="IIterationStopCriterium{T}"/> that monitors the numbers of iteration 
     /// steps as stop criterium.
     /// </summary>
-    public sealed class IterationCountStopCriterium : IIterationStopCriterium
+    public sealed class IterationCountStopCriterium : IIterationStopCriterium<double>
     {
         /// <summary>
         /// The default value for the maximum number of iterations the process is allowed
@@ -129,7 +131,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double.Solvers.StopCriterium
         /// on the invocation of this method. Therefore this method should only be called if the 
         /// calculation has moved forwards at least one step.
         /// </remarks>
-        public void DetermineStatus(int iterationNumber, Vector solutionVector, Vector sourceVector, Vector residualVector)
+        public void DetermineStatus(int iterationNumber, Vector<double> solutionVector, Vector<double> sourceVector, Vector<double> residualVector)
         {
             if (iterationNumber < 0)
             {
@@ -206,7 +208,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double.Solvers.StopCriterium
         /// Clones the current <see cref="IterationCountStopCriterium"/> and its settings.
         /// </summary>
         /// <returns>A new instance of the <see cref="IterationCountStopCriterium"/> class.</returns>
-        public IIterationStopCriterium Clone()
+        public IIterationStopCriterium<double> Clone()
         {
             return new IterationCountStopCriterium(_maximumNumberOfIterations);
         }

src/Numerics/LinearAlgebra/Double/Solvers/StopCriterium/ResidualStopCriterium.cs

@@ -32,13 +32,15 @@ namespace MathNet.Numerics.LinearAlgebra.Double.Solvers.StopCriterium
 {
     using System;
     using System.Diagnostics;
+    using Generic;
+    using Generic.Solvers.Status;
+    using Generic.Solvers.StopCriterium;
     using Properties;
-    using Status;
 
     /// <summary>
-    /// Defines an <see cref="IIterationStopCriterium"/> that monitors residuals as stop criterium.
+    /// Defines an <see cref="IIterationStopCriterium{T}"/> that monitors residuals as stop criterium.
     /// </summary>
-    public sealed class ResidualStopCriterium : IIterationStopCriterium
+    public sealed class ResidualStopCriterium : IIterationStopCriterium<double>
     {
         /// <summary>
         /// The default value for the maximum value of the residual.
@@ -210,7 +212,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double.Solvers.StopCriterium
 
         /// <summary>
         /// Determines the status of the iterative calculation based on the stop criteria stored
-        /// by the current <see cref="IIterationStopCriterium"/>. Result is set into <c>Status</c> field.
+        /// by the current <see cref="IIterationStopCriterium{T}"/>. Result is set into <c>Status</c> field.
         /// </summary>
         /// <param name="iterationNumber">The number of iterations that have passed so far.</param>
         /// <param name="solutionVector">The vector containing the current solution values.</param>
@@ -221,7 +223,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double.Solvers.StopCriterium
         /// on the invocation of this method. Therefore this method should only be called if the 
         /// calculation has moved forwards at least one step.
         /// </remarks>
-        public void DetermineStatus(int iterationNumber, Vector solutionVector, Vector sourceVector, Vector residualVector)
+        public void DetermineStatus(int iterationNumber, Vector<double> solutionVector, Vector<double> sourceVector, Vector<double> residualVector)
         {
             if (iterationNumber < 0)
             {
@@ -361,7 +363,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double.Solvers.StopCriterium
         }
 
         /// <summary>
-        /// Resets the <see cref="IIterationStopCriterium"/> to the pre-calculation state.
+        /// Resets the <see cref="IIterationStopCriterium{T}"/> to the pre-calculation state.
         /// </summary>
         public void ResetToPrecalculationState()
         {
@@ -372,7 +374,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double.Solvers.StopCriterium
 
         /// <summary>
         /// Gets the <see cref="StopLevel"/> which indicates what sort of stop criterium this
-        /// <see cref="IIterationStopCriterium"/> monitors.
+        /// <see cref="IIterationStopCriterium{T}"/> monitors.
         /// </summary>
         /// <value>Returns <see cref="StopLevel"/>.</value>
         public StopLevel StopLevel
@@ -388,7 +390,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double.Solvers.StopCriterium
         /// Clones the current <see cref="ResidualStopCriterium"/> and its settings.
         /// </summary>
         /// <returns>A new instance of the <see cref="ResidualStopCriterium"/> class.</returns>
-        public IIterationStopCriterium Clone()
+        public IIterationStopCriterium<double> Clone()
         {
             return new ResidualStopCriterium(_maximum, _minimumIterationsBelowMaximum);
         }

src/Numerics/LinearAlgebra/Double/SparseMatrix.cs

@@ -31,14 +31,16 @@
 namespace MathNet.Numerics.LinearAlgebra.Double
 {
     using System;
+    using System.Text;
     using Distributions;
+    using Generic;
     using Properties;
     using Threading;
     
     /// <summary>
     /// A Matrix class with sparse storage. The underlying storage scheme is 3-array CSR Format.
     /// </summary>
-    public class SparseMatrix : Matrix 
+    public class SparseMatrix : Matrix<double> 
     {
         /// <summary>
         /// Object for use in "lock"
@@ -192,7 +194,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double
         /// <returns>
         /// A <c>SparseMatrix</c> with the given dimensions.
         /// </returns>
-        public override Matrix CreateMatrix(int numberOfRows, int numberOfColumns)
+        public override Matrix<double> CreateMatrix(int numberOfRows, int numberOfColumns)
         {
             return new SparseMatrix(numberOfRows, numberOfColumns);
         }
@@ -204,7 +206,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double
         /// <returns>
         /// A <see cref="SparseVector"/> with the given dimension.
         /// </returns>
-        public override Vector CreateVector(int size)
+        public override Vector<double> CreateVector(int size)
         {
             return new SparseVector(size);
         }
@@ -213,7 +215,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double
         /// Returns a new matrix containing the lower triangle of this matrix.
         /// </summary>
         /// <returns>The lower triangle of this matrix.</returns>        
-        public override Matrix LowerTriangle()
+        public override Matrix<double> LowerTriangle()
         {
             var result = CreateMatrix(RowCount, ColumnCount);
             LowerTriangleImpl(result);
@@ -226,7 +228,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double
         /// <param name="result">Where to store the lower triangle.</param>
         /// <exception cref="ArgumentNullException">If <paramref name="result"/> is <see langword="null" />.</exception>
         /// <exception cref="ArgumentException">If the result matrix's dimensions are not the same as this matrix.</exception>
-        public override void LowerTriangle(Matrix result)
+        public override void LowerTriangle(Matrix<double> result)
         {
             if (result == null)
             {
@@ -255,7 +257,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double
         /// Puts the lower triangle of this matrix into the result matrix.
         /// </summary>
         /// <param name="result">Where to store the lower triangle.</param>
-        private void LowerTriangleImpl(Matrix result)
+        private void LowerTriangleImpl(Matrix<double> result)
         {
             for (var row = 0; row < result.RowCount; row++)
             {
@@ -275,7 +277,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double
         /// Returns a new matrix containing the upper triangle of this matrix.
         /// </summary>
         /// <returns>The upper triangle of this matrix.</returns>   
-        public override Matrix UpperTriangle()
+        public override Matrix<double> UpperTriangle()
         {
             var result = CreateMatrix(RowCount, ColumnCount);
             UpperTriangleImpl(result);
@@ -288,7 +290,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double
         /// <param name="result">Where to store the lower triangle.</param>
         /// <exception cref="ArgumentNullException">If <paramref name="result"/> is <see langword="null" />.</exception>
         /// <exception cref="ArgumentException">If the result matrix's dimensions are not the same as this matrix.</exception>
-        public override void UpperTriangle(Matrix result)
+        public override void UpperTriangle(Matrix<double> result)
         {
             if (result == null)
             {
@@ -317,7 +319,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double
         /// Puts the upper triangle of this matrix into the result matrix.
         /// </summary>
         /// <param name="result">Where to store the lower triangle.</param>
-        private void UpperTriangleImpl(Matrix result)
+        private void UpperTriangleImpl(Matrix<double> result)
         {
             for (var row = 0; row < result.RowCount; row++)
             {
@@ -349,7 +351,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double
         /// <item><c>(rowIndex + rowLength) &gt;= Rows</c></item></list></exception>        
         /// <exception cref="ArgumentException">If <paramref name="rowLength"/> or <paramref name="columnLength"/>
         /// is not positive.</exception>
-        public override Matrix SubMatrix(int rowIndex, int rowLength, int columnIndex, int columnLength)
+        public override Matrix<double> SubMatrix(int rowIndex, int rowLength, int columnIndex, int columnLength)
         {
             if (rowIndex >= RowCount || rowIndex < 0)
             {
@@ -410,7 +412,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double
         /// does not contain the diagonal elements of this matrix.
         /// </summary>
         /// <returns>The lower triangle of this matrix.</returns>
-        public override Matrix StrictlyLowerTriangle()
+        public override Matrix<double> StrictlyLowerTriangle()
         {
             var result = CreateMatrix(RowCount, ColumnCount);
             StrictlyLowerTriangleImpl(result);
@@ -423,7 +425,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double
         /// <param name="result">Where to store the lower triangle.</param>
         /// <exception cref="ArgumentNullException">If <paramref name="result"/> is <see langword="null" />.</exception>
         /// <exception cref="ArgumentException">If the result matrix's dimensions are not the same as this matrix.</exception>
-        public override void StrictlyLowerTriangle(Matrix result)
+        public override void StrictlyLowerTriangle(Matrix<double> result)
         {
             if (result == null)
             {
@@ -452,7 +454,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double
         /// Puts the strictly lower triangle of this matrix into the result matrix.
         /// </summary>
         /// <param name="result">Where to store the lower triangle.</param>
-        private void StrictlyLowerTriangleImpl(Matrix result)
+        private void StrictlyLowerTriangleImpl(Matrix<double> result)
         {
             for (var row = 0; row < result.RowCount; row++)
             {
@@ -473,7 +475,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double
         /// does not contain the diagonal elements of this matrix.
         /// </summary>
         /// <returns>The upper triangle of this matrix.</returns>
-        public override Matrix StrictlyUpperTriangle()
+        public override Matrix<double> StrictlyUpperTriangle()
         {
             var result = CreateMatrix(RowCount, ColumnCount);
             StrictlyUpperTriangleImpl(result);
@@ -486,7 +488,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double
         /// <param name="result">Where to store the lower triangle.</param>
         /// <exception cref="ArgumentNullException">If <paramref name="result"/> is <see langword="null" />.</exception>
         /// <exception cref="ArgumentException">If the result matrix's dimensions are not the same as this matrix.</exception>
-        public override void StrictlyUpperTriangle(Matrix result)
+        public override void StrictlyUpperTriangle(Matrix<double> result)
         {
             if (result == null)
             {
@@ -515,7 +517,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double
         /// Puts the strictly upper triangle of this matrix into the result matrix.
         /// </summary>
         /// <param name="result">Where to store the lower triangle.</param>
-        private void StrictlyUpperTriangleImpl(Matrix result)
+        private void StrictlyUpperTriangleImpl(Matrix<double> result)
         {
             for (var row = 0; row < result.RowCount; row++)
             {
@@ -762,7 +764,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double
         /// <exception cref="ArgumentException">
         /// If this and the target matrix do not have the same dimensions..
         /// </exception>
-        public override void CopyTo(Matrix target)
+        public override void CopyTo(Matrix<double> target)
         {
             var sparseTarget = target as SparseMatrix;
 
@@ -793,47 +795,6 @@ namespace MathNet.Numerics.LinearAlgebra.Double
             }
         }
         
-        /// <summary>
-        /// Indicates whether the current object is equal to another object of the same type.
-        /// </summary>
-        /// <param name="obj">
-        /// An object to compare with this object.
-        /// </param>
-        /// <returns>
-        /// <c>true</c> if the current object is equal to the <paramref name="obj"/> parameter; otherwise, <c>false</c>.
-        /// </returns>
-        public override bool Equals(object obj)
-        {
-            var sparseMatrix = obj as SparseMatrix;
-
-            if (sparseMatrix == null)
-            {
-                return base.Equals(obj);
-            }
-
-            // Accept if the argument is the same object as this
-            if (ReferenceEquals(this, sparseMatrix))
-            {
-                return true;
-            }
-
-            if (ColumnCount != sparseMatrix.ColumnCount || RowCount != sparseMatrix.RowCount || NonZerosCount != sparseMatrix.NonZerosCount)
-            {
-                return false;
-            }
-
-            // If all else fails, perform element wise comparison.
-            for (var index = 0; index < NonZerosCount; index++)
-            {
-                if (!_nonZeroValues[index].AlmostEqual(sparseMatrix._nonZeroValues[index]) || _columnIndices[index] != sparseMatrix._columnIndices[index])
-                {
-                    return false;
-                }
-            }
-
-            return true;
-        }
-        
         /// <summary>
         /// Returns a hash code for this instance.
         /// </summary>
@@ -860,7 +821,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double
         /// Returns the transpose of this matrix.
         /// </summary>        
         /// <returns>The transpose of this matrix.</returns>
-        public override Matrix Transpose()
+        public override Matrix<double> Transpose()
         {
             var ret = new SparseMatrix(ColumnCount, RowCount)
             {
@@ -957,13 +918,13 @@ namespace MathNet.Numerics.LinearAlgebra.Double
         }
 
         /// <summary>
-        /// Copies the requested row elements into a new <see cref="Vector"/>.
+        /// Copies the requested row elements into a new <see cref="Vector{T}"/>.
         /// </summary>
         /// <param name="rowIndex">The row to copy elements from.</param>
         /// <param name="columnIndex">The column to start copying from.</param>
         /// <param name="length">The number of elements to copy.</param>
-        /// <param name="result">The <see cref="Vector"/> to copy the column into.</param>
+        /// <param name="result">The <see cref="Vector{T}"/> to copy the column into.</param>
-        /// <exception cref="ArgumentNullException">If the result <see cref="Vector"/> is <see langword="null" />.</exception>
+        /// <exception cref="ArgumentNullException">If the result <see cref="Vector{T}"/> is <see langword="null" />.</exception>
         /// <exception cref="ArgumentOutOfRangeException">If <paramref name="rowIndex"/> is negative,
         /// or greater than or equal to the number of columns.</exception>        
         /// <exception cref="ArgumentOutOfRangeException">If <paramref name="columnIndex"/> is negative,
@@ -972,7 +933,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double
         /// is greater than or equal to the number of rows.</exception>
         /// <exception cref="ArgumentException">If <paramref name="length"/> is not positive.</exception>
         /// <exception cref="ArgumentOutOfRangeException">If <strong>result.Count &lt; length</strong>.</exception>
-        public override void Row(int rowIndex, int columnIndex, int length, Vector result)
+        public override void Row(int rowIndex, int columnIndex, int length, Vector<double> result)
         {
             if (result == null)
             {
@@ -1032,7 +993,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double
         /// <exception cref="ArgumentNullException">If lower is <see langword="null" />.</exception>
         /// <exception cref="ArgumentNullException">If the result matrix is <see langword="null" />.</exception>
         /// <exception cref="ArgumentException">If the result matrix's dimensions are not (Rows + lower.rows) x (Columns + lower.Columns).</exception>
-        public override void DiagonalStack(Matrix lower, Matrix result)
+        public override void DiagonalStack(Matrix<double> lower, Matrix<double> result)
         {
             var lowerSparseMatrix = lower as SparseMatrix;
             var resultSparseMatrix = result as SparseMatrix;
@@ -1079,7 +1040,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double
         /// <param name="other">The matrix to add to this matrix.</param>
         /// <exception cref="ArgumentNullException">If the other matrix is <see langword="null" />.</exception>
         /// <exception cref="ArgumentOutOfRangeException">If the two matrices don't have the same dimensions.</exception>
-        public override void Add(Matrix other)
+        public override void Add(Matrix<double> other)
         {
             if (ReferenceEquals(this, other))
             {
@@ -1150,7 +1111,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double
         /// <param name="other">The matrix to subtract.</param>
         /// <exception cref="ArgumentNullException">If the other matrix is <see langword="null" />.</exception>
         /// <exception cref="ArgumentOutOfRangeException">If the two matrices don't have the same dimensions.</exception>
-        public override void Subtract(Matrix other)
+        public override void Subtract(Matrix<double> other)
         {
             // We are substracting Matrix form itself
             if (ReferenceEquals(this, other))
@@ -1245,7 +1206,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double
         /// <exception cref="ArgumentNullException">If the result matrix is <see langword="null" />.</exception>
         /// <exception cref="ArgumentException">If <strong>Columns != other.Rows</strong>.</exception>
         /// <exception cref="ArgumentException">If the result matrix's dimensions are not the Rows x other.Columns.</exception>
-        public override void Multiply(Matrix other, Matrix result)
+        public override void Multiply(Matrix<double> other, Matrix<double> result)
         {
             var otherSparseMatrix = other as SparseMatrix;
             var resultSparseMatrix = result as SparseMatrix;
@@ -1297,7 +1258,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double
         /// <exception cref="ArgumentException">If <strong>Columns != other.Rows</strong>.</exception>        
         /// <exception cref="ArgumentNullException">If the other matrix is <see langword="null" />.</exception>
         /// <returns>The result of multiplication.</returns>
-        public override Matrix Multiply(Matrix other)
+        public override Matrix<double> Multiply(Matrix<double> other)
         {
             var matrix = other as SparseMatrix;
             if (matrix == null)
@@ -1324,7 +1285,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double
         /// <exception cref="ArgumentNullException">If the result matrix is <see langword="null" />.</exception>
         /// <exception cref="ArgumentException">If <strong>this.Columns != other.Rows</strong>.</exception>
         /// <exception cref="ArgumentException">If the result matrix's dimensions are not the this.Rows x other.Columns.</exception>
-        public override void TransposeAndMultiply(Matrix other, Matrix result)
+        public override void TransposeAndMultiply(Matrix<double> other, Matrix<double> result)
         {
             var otherSparse = other as SparseMatrix;
             var resultSparse = result as SparseMatrix;
@@ -1389,7 +1350,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double
         /// <exception cref="ArgumentException">If <strong>this.Columns != other.Rows</strong>.</exception>        
         /// <exception cref="ArgumentNullException">If the other matrix is <see langword="null" />.</exception>
         /// <returns>The result of multiplication.</returns>
-        public override Matrix TransposeAndMultiply(Matrix other)
+        public override Matrix<double> TransposeAndMultiply(Matrix<double> other)
         {
             var otherSparse = other as SparseMatrix;
             if (otherSparse == null)
@@ -1444,7 +1405,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double
         /// <exception cref="ArgumentNullException">If the result matrix is <see langword="null" />.</exception> 
         /// <exception cref="ArgumentException">If this matrix and <paramref name="other"/> are not the same size.</exception>
         /// <exception cref="ArgumentException">If this matrix and <paramref name="result"/> are not the same size.</exception>
-        public override void PointwiseMultiply(Matrix other, Matrix result)
+        public override void PointwiseMultiply(Matrix<double> other, Matrix<double> result)
         {
             if (other == null)
             {
@@ -1495,7 +1456,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double
         /// </returns>
         /// <exception cref="ArgumentException">If the parameter <paramref name="numberOfRows"/> is not positive.</exception>
         /// <exception cref="ArgumentException">If the parameter <paramref name="numberOfColumns"/> is not positive.</exception>
-        public override Matrix Random(int numberOfRows, int numberOfColumns, IContinuousDistribution distribution)
+        public override Matrix<double> Random(int numberOfRows, int numberOfColumns, IContinuousDistribution distribution)
         {
             if (numberOfRows < 1)
             {
@@ -1534,7 +1495,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double
         /// </returns>
         /// <exception cref="ArgumentException">If the parameter <paramref name="numberOfRows"/> is not positive.</exception>
         /// <exception cref="ArgumentException">If the parameter <paramref name="numberOfColumns"/> is not positive.</exception>
-        public override Matrix Random(int numberOfRows, int numberOfColumns, IDiscreteDistribution distribution)
+        public override Matrix<double> Random(int numberOfRows, int numberOfColumns, IDiscreteDistribution distribution)
         {
             if (numberOfRows < 1)
             {
@@ -1592,5 +1553,165 @@ namespace MathNet.Numerics.LinearAlgebra.Double
             return m;
         }
         #endregion
+
+        /// <summary>
+        /// Negates each element of this matrix.
+        /// </summary>        
+        public override void Negate()
+        {
+            Multiply(-1);
+        }
+
+        /// <summary>
+        /// Indicates whether the current object is equal to another object of the same type.
+        /// </summary>
+        /// <param name="other">
+        /// An object to compare with this object.
+        /// </param>
+        /// <returns>
+        /// <c>true</c> if the current object is equal to the <paramref name="other"/> parameter; otherwise, <c>false</c>.
+        /// </returns>
+        public override bool Equals(Matrix<double> other)
+        {
+            if (other == null)
+            {
+                return false;
+            }
+
+            if (ColumnCount != other.ColumnCount || RowCount != other.RowCount)
+            {
+                return false;
+            }
+
+            // Accept if the argument is the same object as this.
+            if (ReferenceEquals(this, other))
+            {
+                return true;
+            }
+
+            var sparseMatrix = other as SparseMatrix;
+
+            if (sparseMatrix == null)
+            {
+                return base.Equals(other);
+            }
+
+            if (NonZerosCount != sparseMatrix.NonZerosCount)
+            {
+                return false;
+            }
+
+            // If all else fails, perform element wise comparison.
+            for (var index = 0; index < NonZerosCount; index++)
+            {
+                if (!_nonZeroValues[index].AlmostEqual(sparseMatrix._nonZeroValues[index]) || _columnIndices[index] != sparseMatrix._columnIndices[index])
+                {
+                    return false;
+                }
+            }
+
+            return true;
+        }
+
+        /// <summary>
+        /// Returns a <see cref="System.String"/> that represents this instance.
+        /// </summary>
+        /// <param name="format">
+        /// The format to use.
+        /// </param>
+        /// <param name="formatProvider">
+        /// The format provider to use.
+        /// </param>
+        /// <returns>
+        /// A <see cref="System.String"/> that represents this instance.
+        /// </returns>
+        public override string ToString(string format, IFormatProvider formatProvider)
+        {
+            var stringBuilder = new StringBuilder();
+            for (var row = 0; row < RowCount; row++)
+            {
+                for (var column = 0; column < ColumnCount; column++)
+                {
+                    stringBuilder.Append(At(row, column).ToString(format, formatProvider));
+                    if (column != ColumnCount - 1)
+                    {
+                        stringBuilder.Append(formatProvider.GetTextInfo().ListSeparator);
+                    }
+                }
+
+                if (row != RowCount - 1)
+                {
+                    stringBuilder.Append(Environment.NewLine);
+                }
+            }
+
+            return stringBuilder.ToString();
+        }
+
+        #region Simple arithmetic of type T
+        /// <summary>
+        /// Add two values T+T
+        /// </summary>
+        /// <param name="val1">Left operand value</param>
+        /// <param name="val2">Right operand value</param>
+        /// <returns>Result of addition</returns>
+        protected sealed override double AddT(double val1, double val2)
+        {
+            return val1 + val2;
+        }
+
+        /// <summary>
+        /// Subtract two values T-T
+        /// </summary>
+        /// <param name="val1">Left operand value</param>
+        /// <param name="val2">Right operand value</param>
+        /// <returns>Result of subtract</returns>
+        protected sealed override double SubtractT(double val1, double val2)
+        {
+            return val1 - val2;
+        }
+
+        /// <summary>
+        /// Multiply two values T*T
+        /// </summary>
+        /// <param name="val1">Left operand value</param>
+        /// <param name="val2">Right operand value</param>
+        /// <returns>Result of multiplication</returns>
+        protected sealed override double MultiplyT(double val1, double val2)
+        {
+            return val1 * val2;
+        }
+
+        /// <summary>
+        /// Divide two values T/T
+        /// </summary>
+        /// <param name="val1">Left operand value</param>
+        /// <param name="val2">Right operand value</param>
+        /// <returns>Result of divide</returns>
+        protected sealed override double DivideT(double val1, double val2)
+        {
+            return val1 / val2;
+        }
+
+        /// <summary>
+        /// Is equal to one?
+        /// </summary>
+        /// <param name="val1">Value to check</param>
+        /// <returns>True if one; otherwise false</returns>
+        protected sealed override bool IsOneT(double val1)
+        {
+            return 1.0.AlmostEqualInDecimalPlaces(val1, 15);
+        }
+
+        /// <summary>
+        /// Take absolute value
+        /// </summary>
+        /// <param name="val1">Source alue</param>
+        /// <returns>True if one; otherwise false</returns>
+        protected sealed override double AbsoluteT(double val1)
+        {
+            return Math.Abs(val1);
+        }
+        #endregion  
     }
 }

src/Numerics/LinearAlgebra/Double/SparseVector.cs

@@ -30,6 +30,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double
     using System.Collections.Generic;
     using System.Globalization;
     using Distributions;
+    using Generic;
     using NumberTheory;
     using Properties;
     using Threading;
@@ -37,7 +38,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double
     /// <summary>
     /// A vector with sparse storage.
     /// </summary>
-    public class SparseVector : Vector
+    public class SparseVector : Vector<double>
     {
         /// <summary>
         /// Lock object for the indexer.
@@ -122,7 +123,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double
         /// <param name="other">
         /// The vector to create the new vector from.
         /// </param>
-        public SparseVector(Vector other) : this(other.Count)
+        public SparseVector(Vector<double> other) : this(other.Count)
         {
             var vector = other as SparseVector;
             if (vector == null)
@@ -181,7 +182,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double
         /// Create a matrix based on this vector in column form (one single column).
         /// </summary>
         /// <returns>This vector as a column matrix.</returns>
-        public override Matrix ToColumnMatrix()
+        public override Matrix<double> ToColumnMatrix()
         {
             var matrix = new SparseMatrix(Count, 1);
             for (var i = 0; i < NonZerosCount; i++)
@@ -196,7 +197,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double
         /// Create a matrix based on this vector in row form (one single row).
         /// </summary>
         /// <returns>This vector as a row matrix.</returns>
-        public override Matrix ToRowMatrix()
+        public override Matrix<double> ToRowMatrix()
         {
             var matrix = new SparseMatrix(1, Count);
             for (var i = 0; i < NonZerosCount; i++)
@@ -263,7 +264,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double
         /// <returns>
         /// A matrix with the given dimensions.
         /// </returns>
-        public override Matrix CreateMatrix(int rows, int columns)
+        public override Matrix<double> CreateMatrix(int rows, int columns)
         {
             return new SparseMatrix(rows, columns);
         }
@@ -278,7 +279,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double
         /// <returns>
         /// The new <c>Vector</c>.
         /// </returns>
-        public override Vector CreateVector(int size)
+        public override Vector<double> CreateVector(int size)
         {
             return new SparseVector(size);
         }
@@ -303,7 +304,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double
         /// <exception cref="ArgumentException">
         /// If <paramref name="target"/> is not the same size as this vector.
         /// </exception>
-        public override void CopyTo(Vector target)
+        public override void CopyTo(Vector<double> target)
         {
             if (target == null)
             {
@@ -347,7 +348,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double
         /// </summary>
         /// <param name="scalar">The scalar to add.</param>
         /// <returns>A copy of the vector with the scalar added.</returns>
-        public override Vector Add(double scalar)
+        public override Vector<double> Add(double scalar)
         {
             if (scalar == 0.0)
             {
@@ -370,7 +371,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double
         /// <param name="result">The vector to store the result of the addition.</param>
         /// <exception cref="ArgumentNullException">If the result vector is <see langword="null" />.</exception>
         /// <exception cref="ArgumentException">If this vector and <paramref name="result"/> are not the same size.</exception>
-        public override void Add(double scalar, Vector result)
+        public override void Add(double scalar, Vector<double> result)
         {
             if (result == null)
             {
@@ -392,7 +393,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double
         /// <returns>A new vector containing the sum of both vectors.</returns>
         /// <exception cref="ArgumentNullException">If the other vector is <see langword="null" />.</exception> 
         /// <exception cref="ArgumentException">If this vector and <paramref name="other"/> are not the same size.</exception>
-        public override Vector Add(Vector other)
+        public override Vector<double> Add(Vector<double> other)
         {
             if (other == null)
             {
@@ -494,7 +495,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double
         /// <exception cref="ArgumentNullException">If the result vector is <see langword="null" />.</exception> 
         /// <exception cref="ArgumentException">If this vector and <paramref name="other"/> are not the same size.</exception>
         /// <exception cref="ArgumentException">If this vector and <paramref name="result"/> are not the same size.</exception>
-        public override void Add(Vector other, Vector result)
+        public override void Add(Vector<double> other, Vector<double> result)
         {
             if (result == null)
             {
@@ -545,7 +546,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double
         /// <param name="rightSide">The vector to get the values from.</param>
         /// <returns>A vector containing a the same values as <paramref name="rightSide"/>.</returns>
         /// <exception cref="ArgumentNullException">If <paramref name="rightSide"/> is <see langword="null" />.</exception>
-        public static Vector operator +(SparseVector rightSide)
+        public static Vector<double> operator +(SparseVector rightSide)
         {
             if (rightSide == null)
             {
@@ -563,7 +564,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double
         /// <returns>The result of the addition.</returns>
         /// <exception cref="ArgumentException">If <paramref name="leftSide"/> and <paramref name="rightSide"/> are not the same size.</exception>
         /// <exception cref="ArgumentNullException">If <paramref name="leftSide"/> or <paramref name="rightSide"/> is <see langword="null" />.</exception>
-        public static Vector operator +(SparseVector leftSide, SparseVector rightSide)
+        public static Vector<double> operator +(SparseVector leftSide, SparseVector rightSide)
         {
             if (rightSide == null)
             {
@@ -588,7 +589,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double
         /// </summary>
         /// <param name="scalar">The scalar to subtract.</param>
         /// <returns>A new vector containing the subtraction of this vector and the scalar.</returns>
-        public override Vector Subtract(double scalar)
+        public override Vector<double> Subtract(double scalar)
         {
             if (scalar == 0.0)
             {
@@ -611,7 +612,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double
         /// <param name="result">The vector to store the result of the subtraction.</param>
         /// <exception cref="ArgumentNullException">If the result vector is <see langword="null"/>.</exception>
         /// <exception cref="ArgumentException">If this vector and <paramref name="result"/> are not the same size.</exception>
-        public override void Subtract(double scalar, Vector result)
+        public override void Subtract(double scalar, Vector<double> result)
         {
             if (result == null)
             {
@@ -633,7 +634,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double
         /// <returns>A new vector containing the subtraction of the the two vectors.</returns>
         /// <exception cref="ArgumentNullException">If the other vector is <see langword="null"/>.</exception>
         /// <exception cref="ArgumentException">If this vector and <paramref name="other"/> are not the same size.</exception>
-        public override Vector Subtract(Vector other)
+        public override Vector<double> Subtract(Vector<double> other)
         {
             if (other == null)
             {
@@ -666,7 +667,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double
         /// <exception cref="ArgumentNullException">If the result vector is <see langword="null"/>.</exception>
         /// <exception cref="ArgumentException">If this vector and <paramref name="other"/> are not the same size.</exception>
         /// <exception cref="ArgumentException">If this vector and <paramref name="result"/> are not the same size.</exception>
-        public override void Subtract(Vector other, Vector result)
+        public override void Subtract(Vector<double> other, Vector<double> result)
         {
             if (result == null)
             {
@@ -716,7 +717,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double
         /// <param name="rightSide">The vector to get the values from.</param>
         /// <returns>A vector containing the negated values as <paramref name="rightSide"/>.</returns>
         /// <exception cref="ArgumentNullException">If <paramref name="rightSide"/> is <see langword="null" />.</exception>
-        public static Vector operator -(SparseVector rightSide)
+        public static Vector<double> operator -(SparseVector rightSide)
         {
             if (rightSide == null)
             {
@@ -734,7 +735,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double
         /// <returns>The result of the subtraction.</returns>
         /// <exception cref="ArgumentException">If <paramref name="leftSide"/> and <paramref name="rightSide"/> are not the same size.</exception>
         /// <exception cref="ArgumentNullException">If <paramref name="leftSide"/> or <paramref name="rightSide"/> is <see langword="null" />.</exception>
-        public static Vector operator -(SparseVector leftSide, SparseVector rightSide)
+        public static Vector<double> operator -(SparseVector leftSide, SparseVector rightSide)
         {
             if (rightSide == null)
             {
@@ -759,7 +760,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double
         /// </summary>
         /// <returns>The negated vector.</returns>
         /// <remarks>Added as an alternative to the unary negation operator.</remarks>
-        public override Vector Negate()
+        public override Vector<double> Negate()
         {
             var result = new SparseVector(Count)
                          {
@@ -785,7 +786,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double
         /// </summary>
         /// <param name="scalar">The scalar to multiply.</param>
         /// <returns>A new vector that is the multiplication of the vector and the scalar.</returns>
-        public override Vector Multiply(double scalar)
+        public override Vector<double> Multiply(double scalar)
         {
             if (scalar == 1.0)
             {
@@ -813,7 +814,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double
         /// <returns>The result of the addition.</returns>
         /// <exception cref="ArgumentException">If <paramref name="other"/> is not of the same size.</exception>
         /// <exception cref="ArgumentNullException">If <paramref name="other"/> is <see langword="null" />.</exception>
-        public override double DotProduct(Vector other)
+        public override double DotProduct(Vector<double> other)
         {
             if (other == null)
             {
@@ -953,7 +954,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double
         /// <item>If <paramref name="index"/> + <paramref name="length"/> is greater than or equal to the size of the vector.</item>
         /// </list></exception>
         /// <exception cref="ArgumentException">If <paramref name="length"/> is not positive.</exception>
-        public override Vector SubVector(int index, int length)
+        public override Vector<double> SubVector(int index, int length)
         {
             if (index < 0 || index >= Count)
             {
@@ -1090,7 +1091,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double
         /// <returns>A new vector which is the pointwise multiplication of the two vectors.</returns>
         /// <exception cref="ArgumentNullException">If the other vector is <see langword="null" />.</exception> 
         /// <exception cref="ArgumentException">If this vector and <paramref name="other"/> are not the same size.</exception>
-        public override Vector PointwiseMultiply(Vector other)
+        public override Vector<double> PointwiseMultiply(Vector<double> other)
         {
             if (other == null)
             {
@@ -1123,7 +1124,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double
         /// <returns>Matrix M[i,j] = u[i]*v[j] </returns>
         /// <exception cref="ArgumentNullException">If the u vector is <see langword="null" />.</exception> 
         /// <exception cref="ArgumentNullException">If the v vector is <see langword="null" />.</exception> 
-        public static Matrix /*SparseMatrix*/ OuterProduct(SparseVector u, SparseVector v)
+        public static Matrix<double> /*SparseMatrix*/ OuterProduct(SparseVector u, SparseVector v)
         {
             if (u == null)
             {
@@ -1160,7 +1161,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double
         /// to the specified random distribution.
         /// </returns>
         /// <exception cref="ArgumentNullException">If the length vector is non positive<see langword="null" />.</exception> 
-        public override Vector Random(int length, IContinuousDistribution randomDistribution)
+        public override Vector<double> Random(int length, IContinuousDistribution randomDistribution)
         {
             if (length < 1)
             {
@@ -1186,7 +1187,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double
         /// to the specified random distribution.
         /// </returns>
         /// <exception cref="ArgumentNullException">If the n vector is non positive<see langword="null" />.</exception> 
-        public override Vector Random(int length, IDiscreteDistribution randomDistribution)
+        public override Vector<double> Random(int length, IDiscreteDistribution randomDistribution)
         {
             if (length < 1)
             {
@@ -1210,7 +1211,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double
         /// Matrix M[i,j] = this[i] * v[j].
         /// </returns>
         /// <seealso cref="OuterProduct"/>
-        public Matrix TensorMultiply(SparseVector v)
+        public Matrix<double> TensorMultiply(SparseVector v)
         {
             return OuterProduct(this, v);
         }
@@ -1249,6 +1250,33 @@ namespace MathNet.Numerics.LinearAlgebra.Double
             return Math.Pow(sum, 1.0 / p);
         }
 
+        /// <summary>
+        /// Normalizes this vector to a unit vector with respect to the p-norm.
+        /// </summary>
+        /// <param name="p">
+        /// The p value.
+        /// </param>
+        /// <returns>
+        /// This vector normalized to a unit vector with respect to the p-norm.
+        /// </returns>
+        public override Vector<double> Normalize(double p)
+        {
+            if (p < 0.0)
+            {
+                throw new ArgumentOutOfRangeException("p");
+            }
+
+            var norm = Norm(p);
+            var clone = Clone();
+            if (norm == 0.0)
+            {
+                return clone;
+            }
+
+            clone.Multiply(1.0 / norm, clone);
+
+            return clone;
+        }
         #endregion
 
         #region Parse Functions
@@ -1515,28 +1543,65 @@ namespace MathNet.Numerics.LinearAlgebra.Double
         #region System.Object override
 
         /// <summary>
-        /// Check equality. If this is regular vector, then check by base implementation. If Sparse - use own method.
+        /// Returns a hash code for this instance.
         /// </summary>
-        /// <param name="obj">Object to compare</param>
         /// <returns>
-        /// <c>true</c> if the specified <see cref="System.Object"/> is equal to this instance; otherwise, <c>false</c>.
+        /// A hash code for this instance, suitable for use in hashing algorithms and data structures like a hash table. 
         /// </returns>
-        public override bool Equals(object obj)
+        public override int GetHashCode()
         {
-            var sparseVector = obj as SparseVector;
+            var hashNum = Math.Min(NonZerosCount, 20);
+            long hash = 0;
+            for (var i = 0; i < hashNum; i++)
+            {
+#if SILVERLIGHT
+                hash ^= Precision.DoubleToInt64Bits(this._nonZeroValues[i].GetHashCode());
+#else
+                hash ^= BitConverter.DoubleToInt64Bits(_nonZeroValues[i].GetHashCode());
+#endif
+            }
 
-            if (sparseVector == null)
+            return BitConverter.ToInt32(BitConverter.GetBytes(hash), 4);
+        }
+
+        #endregion
+
+        /// <summary>
+        /// Indicates whether the current object is equal to another object of the same type.
+        /// </summary>
+        /// <param name="other">
+        /// An object to compare with this object.
+        /// </param>
+        /// <returns>
+        /// <c>true</c> if the current object is equal to the <paramref name="other"/> parameter; otherwise, <c>false</c>.
+        /// </returns>
+        public override bool Equals(Vector<double> other)
+        {
+            // Reject equality when the argument is null or has a different length.
+            if (other == null)
+            {
+                return false;
+            }
+
+            if (Count != other.Count)
             {
-                return base.Equals(obj);
+                return false;
             }
 
             // Accept if the argument is the same object as this.
-            if (ReferenceEquals(this, sparseVector))
+            if (ReferenceEquals(this, other))
             {
                 return true;
             }
 
-            if ((Count != sparseVector.Count) || (NonZerosCount != sparseVector.NonZerosCount))
+            var sparseVector = other as SparseVector;
+
+            if (sparseVector == null)
+            {
+                return base.Equals(other);
+            }
+
+            if (NonZerosCount != sparseVector.NonZerosCount)
             {
                 return false;
             }
@@ -1553,28 +1618,70 @@ namespace MathNet.Numerics.LinearAlgebra.Double
             return true;
         }
 
+        #region Simple arithmetic of type T
         /// <summary>
-        /// Returns a hash code for this instance.
+        /// Add two values T+T
         /// </summary>
-        /// <returns>
+        /// <param name="val1">Left operand value</param>
-        /// A hash code for this instance, suitable for use in hashing algorithms and data structures like a hash table. 
+        /// <param name="val2">Right operand value</param>
-        /// </returns>
+        /// <returns>Result of addition</returns>
-        public override int GetHashCode()
+        protected sealed override double AddT(double val1, double val2)
         {
-            var hashNum = Math.Min(NonZerosCount, 20);
+            return val1 + val2;
-            long hash = 0;
+        }
-            for (var i = 0; i < hashNum; i++)
-            {
-#if SILVERLIGHT
-                hash ^= Precision.DoubleToInt64Bits(this._nonZeroValues[i]);
-#else
-                hash ^= BitConverter.DoubleToInt64Bits(_nonZeroValues[i]);
-#endif
-            }
 
-            return BitConverter.ToInt32(BitConverter.GetBytes(hash), 4);
+        /// <summary>
+        /// Subtract two values T-T
+        /// </summary>
+        /// <param name="val1">Left operand value</param>
+        /// <param name="val2">Right operand value</param>
+        /// <returns>Result of subtract</returns>
+        protected sealed override double SubtractT(double val1, double val2)
+        {
+            return val1 - val2;
+        }
+
+        /// <summary>
+        /// Multiply two values T*T
+        /// </summary>
+        /// <param name="val1">Left operand value</param>
+        /// <param name="val2">Right operand value</param>
+        /// <returns>Result of multiplication</returns>
+        protected sealed override double MultiplyT(double val1, double val2)
+        {
+            return val1 * val2;
+        }
+
+        /// <summary>
+        /// Divide two values T/T
+        /// </summary>
+        /// <param name="val1">Left operand value</param>
+        /// <param name="val2">Right operand value</param>
+        /// <returns>Result of divide</returns>
+        protected sealed override double DivideT(double val1, double val2)
+        {
+            return val1 / val2;
         }
 
+        /// <summary>
+        /// Is equal to one?
+        /// </summary>
+        /// <param name="val1">Value to check</param>
+        /// <returns>True if one; otherwise false</returns>
+        protected sealed override bool IsOneT(double val1)
+        {
+            return val1 == 1.0;
+        }
+
+        /// <summary>
+        /// Take absolute value
+        /// </summary>
+        /// <param name="val1">Source alue</param>
+        /// <returns>True if one; otherwise false</returns>
+        protected sealed override double AbsoluteT(double val1)
+        {
+            return Math.Abs(val1);
+        }
         #endregion
     }
 }

src/Numerics/LinearAlgebra/Double/Factorization/Cholesky.cs → src/Numerics/LinearAlgebra/Generic/Factorization/Cholesky.cs

@@ -28,9 +28,11 @@
 // OTHER DEALINGS IN THE SOFTWARE.
 // </copyright>
 
-namespace MathNet.Numerics.LinearAlgebra.Double.Factorization
+namespace MathNet.Numerics.LinearAlgebra.Generic.Factorization
 {
     using System;
+    using System.Numerics;
+    using Generic;
 
     /// <summary>
     /// <para>A class which encapsulates the functionality of a Cholesky factorization.</para>
@@ -41,28 +43,35 @@ namespace MathNet.Numerics.LinearAlgebra.Double.Factorization
     /// The computation of the Cholesky factorization is done at construction time. If the matrix is not symmetric
     /// or positive definite, the constructor will throw an exception.
     /// </remarks>
-    public abstract class Cholesky : ISolver
+    /// <typeparam name="T">Supported data types are double, single, <see cref="Complex"/>, and <see cref="Complex32"/>.</typeparam>
+    public abstract class Cholesky<T> : ISolver<T>
+    where T : struct, IEquatable<T>, IFormattable
     {
         /// <summary>
         /// Internal method which routes the call to perform the Cholesky factorization to the appropriate class.
         /// </summary>
         /// <param name="matrix">The matrix to factor.</param>
         /// <returns>A cholesky factorization object.</returns>
-        internal static Cholesky Create(Matrix matrix)
+        internal static Cholesky<T> Create(Matrix<T> matrix)
         {
-            var dense = matrix as DenseMatrix;
+            if (typeof(T) == typeof(double))
-            if (dense != null)
             {
-                return new DenseCholesky(dense);
+                var dense = matrix as LinearAlgebra.Double.DenseMatrix;
+                if (dense != null)
+                {
+                    return new LinearAlgebra.Double.Factorization.DenseCholesky(dense) as Cholesky<T>;
+                }
+
+                return new LinearAlgebra.Double.Factorization.UserCholesky(matrix as Matrix<double>) as Cholesky<T>;
             }
 
-            return new UserCholesky(matrix);
+            throw new NotImplementedException();
         }
 
         /// <summary>
         /// Gets or sets the lower triangular form of the Cholesky matrix
         /// </summary>
-        protected Matrix CholeskyFactor
+        protected Matrix<T> CholeskyFactor
         {
             get;
             set;
@@ -71,7 +80,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double.Factorization
         /// <summary>
         /// Gets the lower triangular form of the Cholesky matrix.
         /// </summary>
-        public virtual Matrix Factor
+        public virtual Matrix<T> Factor
         {
             get
             {
@@ -82,14 +91,14 @@ namespace MathNet.Numerics.LinearAlgebra.Double.Factorization
         /// <summary>
         /// Gets the determinant of the matrix for which the Cholesky matrix was computed.
         /// </summary>
-        public virtual double Determinant
+        public virtual T Determinant
         {
             get
             {
-                var det = 1.0;
+                var det = OneValueT;
                 for (var j = 0; j < CholeskyFactor.RowCount; j++)
                 {
-                    det *= CholeskyFactor[j, j] * CholeskyFactor[j, j];
+                    det = MultiplyT(det, MultiplyT(CholeskyFactor[j, j], CholeskyFactor[j, j]));
                 }
 
                 return det;
@@ -106,7 +115,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double.Factorization
                 var det = 0.0;
                 for (var j = 0; j < CholeskyFactor.RowCount; j++)
                 {
-                    det += 2.0 * Math.Log(CholeskyFactor[j, j]);
+                    det += 2.0 * LogT(CholeskyFactor[j, j]);
                 }
 
                 return det;
@@ -116,9 +125,9 @@ namespace MathNet.Numerics.LinearAlgebra.Double.Factorization
         /// <summary>
         /// Solves a system of linear equations, <b>AX = B</b>, with A Cholesky factorized.
         /// </summary>
-        /// <param name="input">The right hand side <see cref="Matrix"/>, <b>B</b>.</param>
+        /// <param name="input">The right hand side <see cref="Matrix{T}"/>, <b>B</b>.</param>
-        /// <returns>The left hand side <see cref="Matrix"/>, <b>X</b>.</returns>
+        /// <returns>The left hand side <see cref="Matrix{T}"/>, <b>X</b>.</returns>
-        public virtual Matrix Solve(Matrix input)
+        public virtual Matrix<T> Solve(Matrix<T> input)
         {
             // Check for proper arguments.
             if (input == null)
@@ -134,16 +143,16 @@ namespace MathNet.Numerics.LinearAlgebra.Double.Factorization
         /// <summary>
         /// Solves a system of linear equations, <b>AX = B</b>, with A Cholesky factorized.
         /// </summary>
-        /// <param name="input">The right hand side <see cref="Matrix"/>, <b>B</b>.</param>
+        /// <param name="input">The right hand side <see cref="Matrix{T}"/>, <b>B</b>.</param>
-        /// <param name="result">The left hand side <see cref="Matrix"/>, <b>X</b>.</param>
+        /// <param name="result">The left hand side <see cref="Matrix{T}"/>, <b>X</b>.</param>
-        public abstract void Solve(Matrix input, Matrix result);
+        public abstract void Solve(Matrix<T> input, Matrix<T> result);
 
         /// <summary>
         /// Solves a system of linear equations, <b>Ax = b</b>, with A Cholesky factorized.
         /// </summary>
         /// <param name="input">The right hand side vector, <b>b</b>.</param>
-        /// <returns>The left hand side <see cref="Vector"/>, <b>x</b>.</returns>
+        /// <returns>The left hand side <see cref="Vector{T}"/>, <b>x</b>.</returns>
-        public virtual Vector Solve(Vector input)
+        public virtual Vector<T> Solve(Vector<T> input)
         {
             // Check for proper arguments.
             if (input == null)
@@ -160,7 +169,34 @@ namespace MathNet.Numerics.LinearAlgebra.Double.Factorization
         /// Solves a system of linear equations, <b>Ax = b</b>, with A Cholesky factorized.
         /// </summary>
         /// <param name="input">The right hand side vector, <b>b</b>.</param>
-        /// <param name="result">The left hand side <see cref="Matrix"/>, <b>x</b>.</param>
+        /// <param name="result">The left hand side <see cref="Matrix{T}"/>, <b>x</b>.</param>
-        public abstract void Solve(Vector input, Vector result);
+        public abstract void Solve(Vector<T> input, Vector<T> result);
+
+        #region Simple arithmetic of type T
+
+        /// <summary>
+        /// Multiply two values T*T
+        /// </summary>
+        /// <param name="val1">Left operand value</param>
+        /// <param name="val2">Right operand value</param>
+        /// <returns>Result of multiplication</returns>
+        protected abstract T MultiplyT(T val1, T val2);
+
+        /// <summary>
+        /// Returns the natural (base e) logarithm of a specified number.
+        /// </summary>
+        /// <param name="val1"> A number whose logarithm is to be found</param>
+        /// <returns>Natural (base e) logarithm </returns>
+        protected abstract double LogT(T val1);
+
+        /// <summary>
+        /// Gets value of type T equal to one
+        /// </summary>
+        /// <returns>One value</returns>
+        protected abstract T OneValueT
+        {
+            get;
+        }
+        #endregion
     }
 }

src/Numerics/LinearAlgebra/Double/Factorization/LU.cs → src/Numerics/LinearAlgebra/Generic/Factorization/LU.cs

@@ -24,9 +24,11 @@
 // OTHER DEALINGS IN THE SOFTWARE.
 // </copyright>
 
-namespace MathNet.Numerics.LinearAlgebra.Double.Factorization
+namespace MathNet.Numerics.LinearAlgebra.Generic.Factorization
 {
     using System;
+    using System.Numerics;
+    using Generic;
 
     /// <summary>
     /// <para>A class which encapsulates the functionality of an LU factorization.</para>
@@ -38,12 +40,14 @@ namespace MathNet.Numerics.LinearAlgebra.Double.Factorization
     /// <remarks>
     /// The computation of the LU factorization is done at construction time.
     /// </remarks>
-    public abstract class LU : ISolver
+    /// <typeparam name="T">Supported data types are double, single, <see cref="Complex"/>, and <see cref="Complex32"/>.</typeparam>
+    public abstract class LU<T> : ISolver<T>
+    where T : struct, IEquatable<T>, IFormattable
     {
         /// <summary>
         /// Gets or sets both the L and U factors in the same matrix.
         /// </summary>
-        protected Matrix Factors
+        protected Matrix<T> Factors
         {
             get;
             set;
@@ -63,28 +67,33 @@ namespace MathNet.Numerics.LinearAlgebra.Double.Factorization
         /// </summary>
         /// <param name="matrix">The matrix to factor.</param>
         /// <returns>An LU factorization object.</returns>
-        internal static LU Create(Matrix matrix)
+        internal static LU<T> Create(Matrix<T> matrix)
         {
-            var dense = matrix as DenseMatrix;
+            if (typeof(T) == typeof(double))
-            if (dense != null)
             {
-                return new DenseLU(dense);
+                var dense = matrix as LinearAlgebra.Double.DenseMatrix;
+                if (dense != null)
+                {
+                    return new LinearAlgebra.Double.Factorization.DenseLU(dense) as LU<T>;
+                }
+
+                return new LinearAlgebra.Double.Factorization.UserLU(matrix as Matrix<double>) as LU<T>;
             }
 
-            return new UserLU(matrix);
+            throw new NotImplementedException();
         }
 
         /// <summary>
         /// Gets the lower triangular factor.
         /// </summary>
-        public virtual Matrix L
+        public virtual Matrix<T> L
         {
             get
             {
                 var result = Factors.LowerTriangle();
                 for (var i = 0; i < result.RowCount; i++)
                 {
-                    result.At(i, i, 1);
+                    result.At(i, i, OneValueT);
                 }
 
                 return result;
@@ -94,7 +103,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double.Factorization
         /// <summary>
         /// Gets the upper triangular factor.
         /// </summary>
-        public virtual Matrix U
+        public virtual Matrix<T> U
         {
             get
             {
@@ -116,20 +125,20 @@ namespace MathNet.Numerics.LinearAlgebra.Double.Factorization
         /// <summary>
         /// Gets the determinant of the matrix for which the LU factorization was computed.
         /// </summary>
-        public virtual double Determinant
+        public virtual T Determinant
         {
             get
             {
-                var det = 1.0;
+                var det = OneValueT;
                 for (var j = 0; j < Factors.RowCount; j++)
                 {
                     if (Pivots[j] != j)
                     {
-                        det = -det * Factors.At(j, j);
+                        det = MultiplyT(MinusOneValueT, MultiplyT(det, Factors.At(j, j)));
                     }
                     else
                     {
-                        det *= Factors.At(j, j);
+                        det = MultiplyT(det, Factors.At(j, j));
                     }
                 }
 
@@ -140,9 +149,9 @@ namespace MathNet.Numerics.LinearAlgebra.Double.Factorization
         /// <summary>
         /// Solves a system of linear equations, <b>AX = B</b>, with A LU factorized.
         /// </summary>
-        /// <param name="input">The right hand side <see cref="Matrix"/>, <b>B</b>.</param>
+        /// <param name="input">The right hand side <see cref="Matrix{T}"/>, <b>B</b>.</param>
-        /// <returns>The left hand side <see cref="Matrix"/>, <b>X</b>.</returns>
+        /// <returns>The left hand side <see cref="Matrix{T}"/>, <b>X</b>.</returns>
-        public virtual Matrix Solve(Matrix input)
+        public virtual Matrix<T> Solve(Matrix<T> input)
         {
             // Check for proper arguments.
             if (input == null)
@@ -158,16 +167,16 @@ namespace MathNet.Numerics.LinearAlgebra.Double.Factorization
         /// <summary>
         /// Solves a system of linear equations, <b>AX = B</b>, with A LU factorized.
         /// </summary>
-        /// <param name="input">The right hand side <see cref="Matrix"/>, <b>B</b>.</param>
+        /// <param name="input">The right hand side <see cref="Matrix{T}"/>, <b>B</b>.</param>
-        /// <param name="result">The left hand side <see cref="Matrix"/>, <b>X</b>.</param>
+        /// <param name="result">The left hand side <see cref="Matrix{T}"/>, <b>X</b>.</param>
-        public abstract void Solve(Matrix input, Matrix result);
+        public abstract void Solve(Matrix<T> input, Matrix<T> result);
 
         /// <summary>
         /// Solves a system of linear equations, <b>Ax = b</b>, with A LU factorized.
         /// </summary>
         /// <param name="input">The right hand side vector, <b>b</b>.</param>
-        /// <returns>The left hand side <see cref="Vector"/>, <b>x</b>.</returns>
+        /// <returns>The left hand side <see cref="Vector{T}"/>, <b>x</b>.</returns>
-        public virtual Vector Solve(Vector input)
+        public virtual Vector<T> Solve(Vector<T> input)
         {
             // Check for proper arguments.
             if (input == null)
@@ -184,13 +193,43 @@ namespace MathNet.Numerics.LinearAlgebra.Double.Factorization
         /// Solves a system of linear equations, <b>Ax = b</b>, with A LU factorized.
         /// </summary>
         /// <param name="input">The right hand side vector, <b>b</b>.</param>
-        /// <param name="result">The left hand side <see cref="Matrix"/>, <b>x</b>.</param>
+        /// <param name="result">The left hand side <see cref="Matrix{T}"/>, <b>x</b>.</param>
-        public abstract void Solve(Vector input, Vector result);
+        public abstract void Solve(Vector<T> input, Vector<T> result);
 
         /// <summary>
         /// Returns the inverse of this matrix. The inverse is calculated using LU decomposition.
         /// </summary>
         /// <returns>The inverse of this matrix.</returns>
-        public abstract Matrix Inverse();
+        public abstract Matrix<T> Inverse();
+
+        #region Simple arithmetic of type T
+
+        /// <summary>
+        /// Multiply two values T*T
+        /// </summary>
+        /// <param name="val1">Left operand value</param>
+        /// <param name="val2">Right operand value</param>
+        /// <returns>Result of multiplication</returns>
+        protected abstract T MultiplyT(T val1, T val2);
+
+        /// <summary>
+        /// Gets value of type T equal to one
+        /// </summary>
+        /// <returns>One value</returns>
+        protected abstract T OneValueT
+        {
+            get;
+        }
+
+        /// <summary>
+        /// Gets value of type T equal to one
+        /// </summary>
+        /// <returns>One value</returns>
+        protected abstract T MinusOneValueT
+        {
+            get;
+        }
+
+        #endregion
     }
 }

src/Numerics/LinearAlgebra/Double/Factorization/QR.cs → src/Numerics/LinearAlgebra/Generic/Factorization/QR.cs

@@ -24,9 +24,11 @@
 // OTHER DEALINGS IN THE SOFTWARE.
 // </copyright>
 
-namespace MathNet.Numerics.LinearAlgebra.Double.Factorization
+namespace MathNet.Numerics.LinearAlgebra.Generic.Factorization
 {
     using System;
+    using System.Numerics;
+    using Generic;
     using Properties;
 
     /// <summary>
@@ -38,12 +40,14 @@ namespace MathNet.Numerics.LinearAlgebra.Double.Factorization
     /// <remarks>
     /// The computation of the QR decomposition is done at construction time by Householder transformation.
     /// </remarks>
-    public abstract class QR : ISolver
+    /// <typeparam name="T">Supported data types are double, single, <see cref="Complex"/>, and <see cref="Complex32"/>.</typeparam>
+    public abstract class QR<T> : ISolver<T>
+    where T : struct, IEquatable<T>, IFormattable
     {
         /// <summary>
         /// Gets or sets orthogonal Q matrix
         /// </summary>
-        protected Matrix MatrixQ
+        protected Matrix<T> MatrixQ
         {
             get;
             set;
@@ -52,7 +56,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double.Factorization
         /// <summary>
         /// Gets or sets upper triangular factor R
         /// </summary>
-        protected Matrix MatrixR
+        protected Matrix<T> MatrixR
         {
             get;
             set;
@@ -63,21 +67,26 @@ namespace MathNet.Numerics.LinearAlgebra.Double.Factorization
         /// </summary>
         /// <param name="matrix">The matrix to factor.</param>
         /// <returns>A QR factorization object.</returns>
-        internal static QR Create(Matrix matrix)
+        internal static QR<T> Create(Matrix<T> matrix)
         {
-            var dense = matrix as DenseMatrix;
+            if (typeof(T) == typeof(double))
-            if (dense != null)
             {
-                return new DenseQR(dense);
+                var dense = matrix as LinearAlgebra.Double.DenseMatrix;
+                if (dense != null)
+                {
+                    return new LinearAlgebra.Double.Factorization.DenseQR(dense) as QR<T>;
+                }
+
+                return new LinearAlgebra.Double.Factorization.UserQR(matrix as Matrix<double>) as QR<T>;
             }
 
-            return new UserQR(matrix);
+            throw new NotImplementedException();
         }
 
         /// <summary>
         /// Gets orthogonal Q matrix
         /// </summary>
-        public virtual Matrix Q 
+        public virtual Matrix<T> Q 
         {
             get
             {
@@ -88,7 +97,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double.Factorization
         /// <summary>
         /// Gets the upper triangular factor R.
         /// </summary>
-        public virtual Matrix R
+        public virtual Matrix<T> R
         {
             get
             {
@@ -108,17 +117,17 @@ namespace MathNet.Numerics.LinearAlgebra.Double.Factorization
                     throw new ArgumentException(Resources.ArgumentMatrixSquare);
                 }
 
-                var det = 1.0;
+                var det = OneValueT;
                 for (var i = 0; i < MatrixR.ColumnCount; i++)
                 {
-                    det *= MatrixR.At(i, i);
+                    det = MultiplyT(det, MatrixR.At(i, i));
-                    if (Math.Abs(MatrixR.At(i, i)).AlmostEqualInDecimalPlaces(0.0, 15))
+                    if (AbsoluteT(MatrixR.At(i, i)).AlmostEqualInDecimalPlaces(0.0, 15))
                     {
                         return 0;
                     }
                 }
 
-                return Math.Abs(det);
+                return AbsoluteT(det);
             }
         }
 
@@ -132,7 +141,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double.Factorization
             {
                 for (var i = 0; i < MatrixR.ColumnCount; i++)
                 {
-                    if (Math.Abs(MatrixR.At(i, i)).AlmostEqualInDecimalPlaces(0.0, 15))
+                    if (AbsoluteT(MatrixR.At(i, i)).AlmostEqualInDecimalPlaces(0.0, 15))
                     {
                         return false;
                     }
@@ -145,9 +154,9 @@ namespace MathNet.Numerics.LinearAlgebra.Double.Factorization
         /// <summary>
         /// Solves a system of linear equations, <b>AX = B</b>, with A QR factorized.
         /// </summary>
-        /// <param name="input">The right hand side <see cref="Matrix"/>, <b>B</b>.</param>
+        /// <param name="input">The right hand side <see cref="Matrix{T}"/>, <b>B</b>.</param>
-        /// <returns>The left hand side <see cref="Matrix"/>, <b>X</b>.</returns>
+        /// <returns>The left hand side <see cref="Matrix{T}"/>, <b>X</b>.</returns>
-        public virtual Matrix Solve(Matrix input)
+        public virtual Matrix<T> Solve(Matrix<T> input)
         {
             // Check for proper arguments.
             if (input == null)
@@ -163,16 +172,16 @@ namespace MathNet.Numerics.LinearAlgebra.Double.Factorization
         /// <summary>
         /// Solves a system of linear equations, <b>AX = B</b>, with A QR factorized.
         /// </summary>
-        /// <param name="input">The right hand side <see cref="Matrix"/>, <b>B</b>.</param>
+        /// <param name="input">The right hand side <see cref="Matrix{T}"/>, <b>B</b>.</param>
-        /// <param name="result">The left hand side <see cref="Matrix"/>, <b>X</b>.</param>
+        /// <param name="result">The left hand side <see cref="Matrix{T}"/>, <b>X</b>.</param>
-        public abstract void Solve(Matrix input, Matrix result);
+        public abstract void Solve(Matrix<T> input, Matrix<T> result);
 
         /// <summary>
         /// Solves a system of linear equations, <b>Ax = b</b>, with A QR factorized.
         /// </summary>
         /// <param name="input">The right hand side vector, <b>b</b>.</param>
-        /// <returns>The left hand side <see cref="Vector"/>, <b>x</b>.</returns>
+        /// <returns>The left hand side <see cref="Vector{T}"/>, <b>x</b>.</returns>
-        public virtual Vector Solve(Vector input)
+        public virtual Vector<T> Solve(Vector<T> input)
         {
             // Check for proper arguments.
             if (input == null)
@@ -189,7 +198,34 @@ namespace MathNet.Numerics.LinearAlgebra.Double.Factorization
         /// Solves a system of linear equations, <b>Ax = b</b>, with A QR factorized.
         /// </summary>
         /// <param name="input">The right hand side vector, <b>b</b>.</param>
-        /// <param name="result">The left hand side <see cref="Matrix"/>, <b>x</b>.</param>
+        /// <param name="result">The left hand side <see cref="Matrix{T}"/>, <b>x</b>.</param>
-        public abstract void Solve(Vector input, Vector result);
+        public abstract void Solve(Vector<T> input, Vector<T> result);
+
+        #region Simple arithmetic of type T
+        /// <summary>
+        /// Multiply two values T*T
+        /// </summary>
+        /// <param name="val1">Left operand value</param>
+        /// <param name="val2">Right operand value</param>
+        /// <returns>Result of multiplication</returns>
+        protected abstract T MultiplyT(T val1, T val2);
+
+        /// <summary>
+        /// Take absolute value
+        /// </summary>
+        /// <param name="val">Source alue</param>
+        /// <returns>True if one; otherwise false</returns>
+        protected abstract double AbsoluteT(T val);
+
+        /// <summary>
+        /// Gets value of type T equal to one
+        /// </summary>
+        /// <returns>One value</returns>
+        protected abstract T OneValueT
+        {
+            get;
+        }
+
+        #endregion
     }
 }

src/Numerics/LinearAlgebra/Double/Factorization/Svd.cs → src/Numerics/LinearAlgebra/Generic/Factorization/Svd.cs

@@ -28,9 +28,11 @@
 // OTHER DEALINGS IN THE SOFTWARE.
 // </copyright>
 
-namespace MathNet.Numerics.LinearAlgebra.Double.Factorization
+namespace MathNet.Numerics.LinearAlgebra.Generic.Factorization
 {
     using System;
+    using System.Numerics;
+    using Generic;
     using Properties;
 
     /// <summary>
@@ -47,7 +49,9 @@ namespace MathNet.Numerics.LinearAlgebra.Double.Factorization
     /// <remarks>
     /// The computation of the singular value decomposition is done at construction time.
     /// </remarks>
-    public abstract class Svd : ISolver
+    /// <typeparam name="T">Supported data types are double, single, <see cref="Complex"/>, and <see cref="Complex32"/>.</typeparam>
+    public abstract class Svd<T> : ISolver<T>
+    where T : struct, IEquatable<T>, IFormattable
     {
         /// <summary>
         /// Gets or sets a value indicating whether to compute U and VT matrices during SVD factorization or not
@@ -61,7 +65,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double.Factorization
         /// <summary>
         /// Gets or sets the singular values (Σ) of matrix in ascending value.
         /// </summary>
-        protected Vector VectorS
+        protected Vector<T> VectorS
         {
             get;
             set;
@@ -70,7 +74,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double.Factorization
         /// <summary>
         /// Gets or sets left singular vectors (U - m-by-m unitary matrix)
         /// </summary>
-        protected Matrix MatrixU
+        protected Matrix<T> MatrixU
         {
             get;
             set;
@@ -79,7 +83,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double.Factorization
         /// <summary>
         /// Gets or sets transpose right singular vectors (transpose of V, an n-by-n unitary matrix
         /// </summary>
-        protected Matrix MatrixVT
+        protected Matrix<T> MatrixVT
         {
             get;
             set;
@@ -94,12 +98,12 @@ namespace MathNet.Numerics.LinearAlgebra.Double.Factorization
             get
             {
                 var eps = Math.Pow(2.0, -52.0);
-                var tol = Math.Max(MatrixU.RowCount, MatrixVT.ColumnCount) * VectorS[0] * eps;
+                var tol = Math.Max(MatrixU.RowCount, MatrixVT.ColumnCount) * AbsoluteT(VectorS[0]) * eps;
                 var nm = Math.Min(MatrixU.RowCount, MatrixVT.ColumnCount);
                 var rank = 0;
                 for (var h = 0; h < nm; h++)
                 {
-                    if (VectorS[h] > tol)
+                    if (AbsoluteT(VectorS[h]) > tol)
                     {
                         rank++;
                     }
@@ -115,26 +119,31 @@ namespace MathNet.Numerics.LinearAlgebra.Double.Factorization
         /// <param name="matrix">The matrix to factor.</param>
         /// <param name="computeVectors">Compute the singular U and VT vectors or not.</param>
         /// <returns>An SVD object.</returns>
-        internal static Svd Create(Matrix matrix, bool computeVectors)
+        internal static Svd<T> Create(Matrix<T> matrix, bool computeVectors)
         {
-            var dense = matrix as DenseMatrix;
+            if (typeof(T) == typeof(double))
-            if (dense != null)
             {
-                return new DenseSvd(dense, computeVectors);
+                var dense = matrix as LinearAlgebra.Double.DenseMatrix;
+                if (dense != null)
+                {
+                    return new LinearAlgebra.Double.Factorization.DenseSvd(dense, computeVectors) as Svd<T>;
+                }
+
+                return new LinearAlgebra.Double.Factorization.UserSvd(matrix as Matrix<double>, computeVectors) as Svd<T>;
             }
 
-            return new UserSvd(matrix, computeVectors);
+            throw new NotImplementedException();
         }
 
         /// <summary>
-        /// Gets the two norm of the <see cref="Matrix"/>.
+        /// Gets the two norm of the <see cref="Matrix{T}"/>.
         /// </summary>
-        /// <returns>The 2-norm of the <see cref="Matrix"/>.</returns>
+        /// <returns>The 2-norm of the <see cref="Matrix{T}"/>.</returns>
         public virtual double Norm2
         {
             get
             {
-                return VectorS[0];
+                return AbsoluteT(VectorS[0]);
             }
         }
 
@@ -147,7 +156,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double.Factorization
             get
             {
                 var tmp = Math.Min(MatrixU.RowCount, MatrixVT.ColumnCount) - 1;
-                return VectorS[0] / VectorS[tmp];
+                return AbsoluteT(VectorS[0]) / AbsoluteT(VectorS[tmp]);
             }
         }
 
@@ -163,38 +172,38 @@ namespace MathNet.Numerics.LinearAlgebra.Double.Factorization
                     throw new ArgumentException(Resources.ArgumentMatrixSquare);
                 }
 
-                var det = 1.0;
+                var det = OneValueT;
                 for (var i = 0; i < VectorS.Count; i++)
                 {
-                    det *= VectorS[i];
+                    det = MultiplyT(det, VectorS[i]);
-                    if (Math.Abs(VectorS[i]).AlmostEqualInDecimalPlaces(0.0, 15))
+                    if (AbsoluteT(VectorS[i]).AlmostEqualInDecimalPlaces(0.0, 15))
                     {
                         return 0;
                     }
                 }
 
-                return Math.Abs(det);
+                return AbsoluteT(det);
             }
         }
 
-        /// <summary>Returns the left singular vectors as a <see cref="Matrix"/>.</summary>
+        /// <summary>Returns the left singular vectors as a <see cref="Matrix{T}"/>.</summary>
         /// <returns>The left singular vectors. The matrix will be <c>null</c>, if <b>computeVectors</b> in the constructor is set to <c>false</c>.</returns>
-        public Matrix U()
+        public Matrix<T> U()
         {
             return ComputeVectors ? MatrixU.Clone() : null;
         }
 
-        /// <summary>Returns the right singular vectors as a <see cref="Matrix"/>.</summary>
+        /// <summary>Returns the right singular vectors as a <see cref="Matrix{T}"/>.</summary>
         /// <returns>The right singular vectors. The matrix will be <c>null</c>, if <b>computeVectors</b> in the constructor is set to <c>false</c>.</returns>
         /// <remarks>This is the transpose of the V matrix.</remarks>
-        public Matrix VT()
+        public Matrix<T> VT()
         {
             return ComputeVectors ? MatrixVT.Clone() : null;
         }
 
-        /// <summary>Returns the singular values as a diagonal <see cref="Matrix"/>.</summary>
+        /// <summary>Returns the singular values as a diagonal <see cref="Matrix{T}"/>.</summary>
-        /// <returns>The singular values as a diagonal <see cref="Matrix"/>.</returns>        
+        /// <returns>The singular values as a diagonal <see cref="Matrix{T}"/>.</returns>        
-        public Matrix W()
+        public Matrix<T> W()
         {
             var rows = MatrixU.RowCount;
             var columns = MatrixVT.ColumnCount;
@@ -213,9 +222,9 @@ namespace MathNet.Numerics.LinearAlgebra.Double.Factorization
             return result;
         }
 
-        /// <summary>Returns the singular values as a <see cref="Vector"/>.</summary>
+        /// <summary>Returns the singular values as a <see cref="Vector{T}"/>.</summary>
-        /// <returns>the singular values as a <see cref="Vector"/>.</returns>
+        /// <returns>the singular values as a <see cref="Vector{T}"/>.</returns>
-        public Vector S()
+        public Vector<T> S()
         {
             return VectorS.Clone();
         }
@@ -223,9 +232,9 @@ namespace MathNet.Numerics.LinearAlgebra.Double.Factorization
         /// <summary>
         /// Solves a system of linear equations, <b>AX = B</b>, with A SVD factorized.
         /// </summary>
-        /// <param name="input">The right hand side <see cref="Matrix"/>, <b>B</b>.</param>
+        /// <param name="input">The right hand side <see cref="Matrix{T}"/>, <b>B</b>.</param>
-        /// <returns>The left hand side <see cref="Matrix"/>, <b>X</b>.</returns>
+        /// <returns>The left hand side <see cref="Matrix{T}"/>, <b>X</b>.</returns>
-        public virtual Matrix Solve(Matrix input)
+        public virtual Matrix<T> Solve(Matrix<T> input)
         {
             // Check for proper arguments.
             if (input == null)
@@ -238,7 +247,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double.Factorization
                 throw new InvalidOperationException(Resources.SingularVectorsNotComputed);
             }
 
-            Matrix result = MatrixU.CreateMatrix(MatrixVT.ColumnCount, input.ColumnCount);
+            var result = MatrixU.CreateMatrix(MatrixVT.ColumnCount, input.ColumnCount);
             Solve(input, result);
             return result;
         }
@@ -246,16 +255,16 @@ namespace MathNet.Numerics.LinearAlgebra.Double.Factorization
         /// <summary>
         /// Solves a system of linear equations, <b>AX = B</b>, with A SVD factorized.
         /// </summary>
-        /// <param name="input">The right hand side <see cref="Matrix"/>, <b>B</b>.</param>
+        /// <param name="input">The right hand side <see cref="Matrix{T}"/>, <b>B</b>.</param>
-        /// <param name="result">The left hand side <see cref="Matrix"/>, <b>X</b>.</param>
+        /// <param name="result">The left hand side <see cref="Matrix{T}"/>, <b>X</b>.</param>
-        public abstract void Solve(Matrix input, Matrix result);
+        public abstract void Solve(Matrix<T> input, Matrix<T> result);
 
         /// <summary>
         /// Solves a system of linear equations, <b>Ax = b</b>, with A SVD factorized.
         /// </summary>
         /// <param name="input">The right hand side vector, <b>b</b>.</param>
-        /// <returns>The left hand side <see cref="Vector"/>, <b>x</b>.</returns>
+        /// <returns>The left hand side <see cref="Vector{T}"/>, <b>x</b>.</returns>
-        public virtual Vector Solve(Vector input)
+        public virtual Vector<T> Solve(Vector<T> input)
         {
             // Check for proper arguments.
             if (input == null)
@@ -277,7 +286,34 @@ namespace MathNet.Numerics.LinearAlgebra.Double.Factorization
         /// Solves a system of linear equations, <b>Ax = b</b>, with A SVD factorized.
         /// </summary>
         /// <param name="input">The right hand side vector, <b>b</b>.</param>
-        /// <param name="result">The left hand side <see cref="Matrix"/>, <b>x</b>.</param>
+        /// <param name="result">The left hand side <see cref="Matrix{T}"/>, <b>x</b>.</param>
-        public abstract void Solve(Vector input, Vector result);
+        public abstract void Solve(Vector<T> input, Vector<T> result);
+
+        #region Simple arithmetic of type T
+        /// <summary>
+        /// Multiply two values T*T
+        /// </summary>
+        /// <param name="val1">Left operand value</param>
+        /// <param name="val2">Right operand value</param>
+        /// <returns>Result of multiplication</returns>
+        protected abstract T MultiplyT(T val1, T val2);
+
+        /// <summary>
+        /// Take absolute value
+        /// </summary>
+        /// <param name="val">Source alue</param>
+        /// <returns>True if one; otherwise false</returns>
+        protected abstract double AbsoluteT(T val);
+
+        /// <summary>
+        /// Gets value of type T equal to one
+        /// </summary>
+        /// <returns>One value</returns>
+        protected abstract T OneValueT
+        {
+            get;
+        }
+
+        #endregion
     }
 }

src/Numerics/LinearAlgebra/Double/ISolver.cs → src/Numerics/LinearAlgebra/Generic/ISolver.cs

@@ -26,39 +26,43 @@
 // OTHER DEALINGS IN THE SOFTWARE.
 // </copyright>
 
-namespace MathNet.Numerics.LinearAlgebra.Double
+namespace MathNet.Numerics.LinearAlgebra.Generic
 {
+    using System;
+    using System.Numerics;
+
     /// <summary>
     /// Classes that solves a system of linear equations, <c>AX = B</c>.
     /// </summary>
-    public interface ISolver
+    /// <typeparam name="T">Supported data types are double, single, <see cref="Complex"/>, and <see cref="Complex32"/>.</typeparam>
+    public interface ISolver<T> where T : struct, IEquatable<T>, IFormattable
     {
         /// <summary>
         /// Solves a system of linear equations, <c>AX = B</c>.
         /// </summary>
-        /// <param name="input">The right hand side <see cref="Matrix"/>, <c>B</c>.</param>
+        /// <param name="input">The right hand side Matrix, <c>B</c>.</param>
-        /// <returns>The left hand side <see cref="Matrix"/>, <c>X</c>.</returns>
+        /// <returns>The left hand side Matrix, <c>X</c>.</returns>
-        Matrix Solve(Matrix input);
+        Matrix<T> Solve(Matrix<T> input);
 
         /// <summary>
         /// Solves a system of linear equations, <c>AX = B</c>.
         /// </summary>
-        /// <param name="input">The right hand side <see cref="Matrix"/>, <c>B</c>.</param>
+        /// <param name="input">The right hand side Matrix, <c>B</c>.</param>
-        /// <param name="result">The left hand side <see cref="Matrix"/>, <c>X</c>.</param>
+        /// <param name="result">The left hand side Matrix, <c>X</c>.</param>
-        void Solve(Matrix input, Matrix result);
+        void Solve(Matrix<T> input, Matrix<T> result);
 
         /// <summary>
         /// Solves a system of linear equations, <c>Ax = b</c>
         /// </summary>
         /// <param name="input">The right hand side vector, <c>b</c>.</param>
-        /// <returns>The left hand side <see cref="Vector"/>, <c>x</c>.</returns>
+        /// <returns>The left hand side Vector, <c>x</c>.</returns>
-        Vector Solve(Vector input);
+        Vector<T> Solve(Vector<T> input);
 
         /// <summary>
         /// Solves a system of linear equations, <c>Ax = b</c>.
         /// </summary>
         /// <param name="input">The right hand side vector, <c>b</c>.</param>
-        /// <param name="result">The left hand side <see cref="Matrix"/>, <c>x</c>.</param>
+        /// <param name="result">The left hand side Matrix>, <c>x</c>.</param>
-        void Solve(Vector input, Vector result);
+        void Solve(Vector<T> input, Vector<T> result);
     }
 }

src/Numerics/LinearAlgebra/Double/Matrix.Arithmetic.cs → src/Numerics/LinearAlgebra/Generic/Matrix.Arithmetic.cs

@@ -24,9 +24,10 @@
 // OTHER DEALINGS IN THE SOFTWARE.
 // </copyright>
 
-namespace MathNet.Numerics.LinearAlgebra.Double
+namespace MathNet.Numerics.LinearAlgebra.Generic
 {
     using System;
+    using System.Numerics;
     using Distributions;
     using Factorization;
     using Properties;
@@ -35,7 +36,8 @@ namespace MathNet.Numerics.LinearAlgebra.Double
     /// <summary>
     /// Defines the base class for <c>Matrix</c> classes.
     /// </summary>
-    public abstract partial class Matrix
+    /// <typeparam name="T">Supported data types are double, single, <see cref="Complex"/>, and <see cref="Complex32"/>.</typeparam>
+    public abstract partial class Matrix<T>
     {
         /// <summary>
         /// Adds another matrix to this matrix. The result will be written into this matrix.
@@ -43,7 +45,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double
         /// <param name="other">The matrix to add to this matrix.</param>
         /// <exception cref="ArgumentNullException">If the other matrix is <see langword="null" />.</exception>
         /// <exception cref="ArgumentOutOfRangeException">If the two matrices don't have the same dimensions.</exception>
-        public virtual void Add(Matrix other)
+        public virtual void Add(Matrix<T> other)
         {
             if (other == null)
             {
@@ -56,13 +58,13 @@ namespace MathNet.Numerics.LinearAlgebra.Double
             }
 
             CommonParallel.For(
-                0, 
+                0,
-                RowCount, 
+                RowCount,
                 i =>
                 {
                     for (var j = 0; j < ColumnCount; j++)
                     {
-                        At(i, j, At(i, j) + other.At(i, j));
+                        At(i, j, AddT(At(i, j), other.At(i, j)));
                     }
                 });
         }
@@ -73,7 +75,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double
         /// <param name="other">The matrix to subtract.</param>
         /// <exception cref="ArgumentNullException">If the other matrix is <see langword="null" />.</exception>
         /// <exception cref="ArgumentOutOfRangeException">If the two matrices don't have the same dimensions.</exception>
-        public virtual void Subtract(Matrix other)
+        public virtual void Subtract(Matrix<T> other)
         {
             if (other == null)
             {
@@ -86,13 +88,13 @@ namespace MathNet.Numerics.LinearAlgebra.Double
             }
 
             CommonParallel.For(
-                0, 
+                0,
-                RowCount, 
+                RowCount,
                 i =>
                 {
                     for (var j = 0; j < ColumnCount; j++)
                     {
-                        At(i, j, At(i, j) - other.At(i, j));
+                        At(i, j, SubtractT(At(i, j), other.At(i, j)));
                     }
                 });
         }
@@ -101,21 +103,21 @@ namespace MathNet.Numerics.LinearAlgebra.Double
         /// Multiplies each element of this matrix with a scalar.
         /// </summary>
         /// <param name="scalar">The scalar to multiply with.</param>
-        public virtual void Multiply(double scalar)
+        public virtual void Multiply(T scalar)
         {
-            if (1.0.AlmostEqualInDecimalPlaces(scalar, 15))
+            if (IsOneT(scalar))
             {
                 return;
             }
 
             CommonParallel.For(
-                0, 
+                0,
-                RowCount, 
+                RowCount,
                 i =>
                 {
                     for (var j = 0; j < ColumnCount; j++)
                     {
-                        At(i, j, At(i, j) * scalar);
+                        At(i, j, MultiplyT(At(i, j), scalar));
                     }
                 });
         }
@@ -127,7 +129,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double
         /// <param name="result">The matrix to multiply.</param>
         /// <exception cref="ArgumentNullException">If the result matrix is <see langword="null" />.</exception> 
         /// <exception cref="ArgumentException">If the result matrix's dimensions are not the same as this matrix.</exception>
-        public virtual void Multiply(double scalar, Matrix result)
+        public virtual void Multiply(T scalar, Matrix<T> result)
         {
             if (result == null)
             {
@@ -155,7 +157,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double
         /// <returns>The result of the multiplication.</returns>
         /// <exception cref="ArgumentNullException">If <paramref name="rightSide"/> is <see langword="null" />.</exception>
         /// <exception cref="ArgumentException">If <c>this.ColumnCount != rightSide.Count</c>.</exception>
-        public virtual Vector Multiply(Vector rightSide)
+        public virtual Vector<T> Multiply(Vector<T> rightSide)
         {
             var ret = CreateVector(RowCount);
             Multiply(rightSide, ret);
@@ -171,7 +173,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double
         /// <exception cref="ArgumentNullException">If <paramref name="result"/> is <see langword="null" />.</exception>
         /// <exception cref="ArgumentException">If <strong>result.Count != this.RowCount</strong>.</exception>
         /// <exception cref="ArgumentException">If <strong>this.ColumnCount != <paramref name="rightSide"/>.Count</strong>.</exception>
-        public virtual void Multiply(Vector rightSide, Vector result)
+        public virtual void Multiply(Vector<T> rightSide, Vector<T> result)
         {
             if (rightSide == null)
             {
@@ -202,14 +204,14 @@ namespace MathNet.Numerics.LinearAlgebra.Double
             else
             {
                 CommonParallel.For(
-                    0, 
+                    0,
-                    RowCount, 
+                    RowCount,
                     i =>
                     {
-                        double s = 0;
+                        var s = default(T);
                         for (var j = 0; j != ColumnCount; j++)
                         {
-                            s += At(i, j) * rightSide[j];
+                            s = AddT(s, MultiplyT(At(i, j), rightSide[j]));
                         }
 
                         result[i] = s;
@@ -224,7 +226,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double
         /// <returns>The result of the multiplication.</returns>
         /// <exception cref="ArgumentNullException">If <paramref name="leftSide"/> is <see langword="null" />.</exception>
         /// <exception cref="ArgumentException">If <strong>this.RowCount != <paramref name="leftSide"/>.Count</strong>.</exception>
-        public virtual Vector LeftMultiply(Vector leftSide)
+        public virtual Vector<T> LeftMultiply(Vector<T> leftSide)
         {
             var ret = CreateVector(ColumnCount);
             LeftMultiply(leftSide, ret);
@@ -240,7 +242,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double
         /// <exception cref="ArgumentNullException">If the result matrix is <see langword="null" />.</exception>
         /// <exception cref="ArgumentException">If <strong>result.Count != this.ColumnCount</strong>.</exception>
         /// <exception cref="ArgumentException">If <strong>this.RowCount != <paramref name="leftSide"/>.Count</strong>.</exception>
-        public virtual void LeftMultiply(Vector leftSide, Vector result)
+        public virtual void LeftMultiply(Vector<T> leftSide, Vector<T> result)
         {
             if (leftSide == null)
             {
@@ -271,14 +273,14 @@ namespace MathNet.Numerics.LinearAlgebra.Double
             else
             {
                 CommonParallel.For(
-                    0, 
+                    0,
-                    RowCount, 
+                    RowCount,
                     j =>
                     {
-                        double s = 0;
+                        var s = default(T);
                         for (var i = 0; i != leftSide.Count; i++)
                         {
-                            s += leftSide[i] * At(i, j);
+                            s = AddT(s, MultiplyT(leftSide[i], At(i, j)));
                         }
 
                         result[j] = s;
@@ -295,7 +297,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double
         /// <exception cref="ArgumentNullException">If the result matrix is <see langword="null" />.</exception>
         /// <exception cref="ArgumentException">If <strong>this.Columns != other.Rows</strong>.</exception>
         /// <exception cref="ArgumentException">If the result matrix's dimensions are not the this.Rows x other.Columns.</exception>
-        public virtual void Multiply(Matrix other, Matrix result)
+        public virtual void Multiply(Matrix<T> other, Matrix<T> result)
         {
             if (other == null)
             {
@@ -326,16 +328,16 @@ namespace MathNet.Numerics.LinearAlgebra.Double
             else
             {
                 CommonParallel.For(
-                    0, 
+                    0,
-                    RowCount, 
+                    RowCount,
                     j =>
                     {
                         for (var i = 0; i != other.ColumnCount; i++)
                         {
-                            double s = 0;
+                            var s = default(T);
                             for (var l = 0; l < ColumnCount; l++)
                             {
-                                s += At(j, l) * other.At(l, i);
+                                s = AddT(s, MultiplyT(At(j, l), other.At(l, i)));
                             }
 
                             result.At(j, i, s);
@@ -351,7 +353,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double
         /// <exception cref="ArgumentException">If <strong>this.Columns != other.Rows</strong>.</exception>        
         /// <exception cref="ArgumentNullException">If the other matrix is <see langword="null" />.</exception>
         /// <returns>The result of the multiplication.</returns>
-        public virtual Matrix Multiply(Matrix other)
+        public virtual Matrix<T> Multiply(Matrix<T> other)
         {
             if (other == null)
             {
@@ -377,8 +379,8 @@ namespace MathNet.Numerics.LinearAlgebra.Double
         /// <exception cref="ArgumentNullException">If the result matrix is <see langword="null" />.</exception>
         /// <exception cref="ArgumentException">If <strong>this.Columns != other.ColumnCount</strong>.</exception>
         /// <exception cref="ArgumentException">If the result matrix's dimensions are not the this.RowCount x other.RowCount.</exception>
-        public virtual void TransposeAndMultiply(Matrix other, Matrix result)
+        public virtual void TransposeAndMultiply(Matrix<T> other, Matrix<T> result)
-        {
+               {
             if (other == null)
             {
                 throw new ArgumentNullException("other");
@@ -414,13 +416,13 @@ namespace MathNet.Numerics.LinearAlgebra.Double
                     {
                         for (var i = 0; i < RowCount; i++)
                         {
-                            double s = 0;
+                            var s = default(T);
                             for (var l = 0; l < ColumnCount; l++)
                             {
-                                s += At(i, l) * other.At(j, l);
+                                s = AddT(s, MultiplyT(At(i, l), other.At(j, l)));
                             }
 
-                            result.At(i, j, s + result.At(i, j));
+                            result.At(i, j, AddT(s, result.At(i, j)));
                         }
                     });
             }
@@ -433,7 +435,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double
         /// <exception cref="ArgumentException">If <strong>this.Columns != other.ColumnCount</strong>.</exception>        
         /// <exception cref="ArgumentNullException">If the other matrix is <see langword="null" />.</exception>
         /// <returns>The result of the multiplication.</returns>
-        public virtual Matrix TransposeAndMultiply(Matrix other)
+        public virtual Matrix<T> TransposeAndMultiply(Matrix<T> other)
         {
             if (other == null)
             {
@@ -451,12 +453,11 @@ namespace MathNet.Numerics.LinearAlgebra.Double
         }
 
         /// <summary>
-        /// Negates each element of this matrix.
+        /// Negate each element of this matrix.
-        /// </summary>        
+        /// </summary>
-        public virtual void Negate()
+        /// <exception cref="ArgumentNullException">If the result matrix is <see langword="null" />.</exception>
-        {
+        /// <exception cref="ArgumentException">if the result matrix's dimensions are not the same as this matrix.</exception>
-            Multiply(-1);
+        public abstract void Negate();
-        }
 
         /// <summary>
         /// Negate each element of this matrix and place the results into the result matrix.
@@ -464,7 +465,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double
         /// <param name="result">The result of the negation.</param>
         /// <exception cref="ArgumentNullException">If the result matrix is <see langword="null" />.</exception>
         /// <exception cref="ArgumentException">if the result matrix's dimensions are not the same as this matrix.</exception>
-        public virtual void Negate(Matrix result)
+        public virtual void Negate(Matrix<T> result)
         {
             if (result == null)
             {
@@ -491,7 +492,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double
         /// <returns>The result of the addition.</returns>
         /// <exception cref="ArgumentOutOfRangeException">If <paramref name="leftSide"/> and <paramref name="rightSide"/> don't have the same dimensions.</exception>
         /// <exception cref="ArgumentNullException">If <paramref name="leftSide"/> or <paramref name="rightSide"/> is <see langword="null" />.</exception>
-        public static Matrix operator +(Matrix leftSide, Matrix rightSide)
+        public static Matrix<T> operator +(Matrix<T> leftSide, Matrix<T> rightSide)
         {
             if (rightSide == null)
             {
@@ -519,7 +520,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double
         /// <param name="rightSide">The matrix to get the values from.</param>
         /// <returns>A matrix containing a the same values as <paramref name="rightSide"/>.</returns>
         /// <exception cref="ArgumentNullException">If <paramref name="rightSide"/> is <see langword="null" />.</exception>
-        public static Matrix operator +(Matrix rightSide)
+        public static Matrix<T> operator +(Matrix<T> rightSide)
         {
             if (rightSide == null)
             {
@@ -540,7 +541,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double
         /// <returns>The result of the addition.</returns>
         /// <exception cref="ArgumentOutOfRangeException">If <paramref name="leftSide"/> and <paramref name="rightSide"/> don't have the same dimensions.</exception>
         /// <exception cref="ArgumentNullException">If <paramref name="leftSide"/> or <paramref name="rightSide"/> is <see langword="null" />.</exception>
-        public static Matrix operator -(Matrix leftSide, Matrix rightSide)
+        public static Matrix<T> operator -(Matrix<T> leftSide, Matrix<T> rightSide)
         {
             if (rightSide == null)
             {
@@ -568,7 +569,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double
         /// <param name="rightSide">The matrix to negate.</param>
         /// <returns>A matrix containing the negated values.</returns>
         /// <exception cref="ArgumentNullException">If <paramref name="rightSide"/> is <see langword="null" />.</exception>
-        public static Matrix operator -(Matrix rightSide)
+        public static Matrix<T> operator -(Matrix<T> rightSide)
         {
             if (rightSide == null)
             {
@@ -587,7 +588,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double
         /// <param name="rightSide">The constant to multiply the matrix by.</param>
         /// <returns>The result of the multiplication.</returns>
         /// <exception cref="ArgumentNullException">If <paramref name="leftSide"/> is <see langword="null" />.</exception>
-        public static Matrix operator *(Matrix leftSide, double rightSide)
+        public static Matrix<T> operator *(Matrix<T> leftSide, T rightSide)
         {
             if (leftSide == null)
             {
@@ -606,7 +607,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double
         /// <param name="rightSide">The constant to multiply the matrix by.</param>
         /// <returns>The result of the multiplication.</returns>
         /// <exception cref="ArgumentNullException">If <paramref name="rightSide"/> is <see langword="null" />.</exception>
-        public static Matrix operator *(double leftSide, Matrix rightSide)
+        public static Matrix<T> operator *(T leftSide, Matrix<T> rightSide)
         {
             if (rightSide == null)
             {
@@ -629,7 +630,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double
         /// <returns>The result of multiplication.</returns>
         /// <exception cref="ArgumentNullException">If <paramref name="leftSide"/> or <paramref name="rightSide"/> is <see langword="null" />.</exception>
         /// <exception cref="ArgumentException">If the dimensions of <paramref name="leftSide"/> or <paramref name="rightSide"/> don't conform.</exception>
-        public static Matrix operator *(Matrix leftSide, Matrix rightSide)
+        public static Matrix<T> operator *(Matrix<T> leftSide, Matrix<T> rightSide)
         {
             if (leftSide == null)
             {
@@ -650,13 +651,13 @@ namespace MathNet.Numerics.LinearAlgebra.Double
         }
 
         /// <summary>
-        /// Multiplies a <strong>Matrix</strong> and a <see cref="Vector"/>.
+        /// Multiplies a <strong>Matrix</strong> and a Vector.
         /// </summary>
         /// <param name="leftSide">The matrix to multiply.</param>
         /// <param name="rightSide">The vector to multiply.</param>
         /// <returns>The result of multiplication.</returns>
         /// <exception cref="ArgumentNullException">If <paramref name="leftSide"/> or <paramref name="rightSide"/> is <see langword="null" />.</exception>
-        public static Vector operator *(Matrix leftSide, Vector rightSide)
+        public static Vector<T> operator *(Matrix<T> leftSide, Vector<T> rightSide)
         {
             if (leftSide == null)
             {
@@ -667,13 +668,13 @@ namespace MathNet.Numerics.LinearAlgebra.Double
         }
 
         /// <summary>
-        /// Multiplies a <see cref="Vector"/> and a <strong>Matrix</strong>.
+        /// Multiplies a Vector and a <strong>Matrix</strong>.
         /// </summary>
         /// <param name="leftSide">The vector to multiply.</param>
         /// <param name="rightSide">The matrix to multiply.</param>
         /// <returns>The result of multiplication.</returns>
         /// <exception cref="ArgumentNullException">If <paramref name="leftSide"/> or <paramref name="rightSide"/> is <see langword="null" />.</exception>
-        public static Vector operator *(Vector leftSide, Matrix rightSide)
+        public static Vector<T> operator *(Vector<T> leftSide, Matrix<T> rightSide)
         {
             if (rightSide == null)
             {
@@ -690,7 +691,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double
         /// <exception cref="ArgumentNullException">If the other matrix is <see langword="null" />.</exception> 
         /// <exception cref="ArgumentException">If this matrix and <paramref name="other"/> are not the same size.</exception>
         /// <returns>A new matrix that is the pointwise multiplication of this matrix and <paramref name="other"/>.</returns>
-        public virtual Matrix PointwiseMultiply(Matrix other)
+        public virtual Matrix<T> PointwiseMultiply(Matrix<T> other)
         {
             if (other == null)
             {
@@ -716,7 +717,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double
         /// <exception cref="ArgumentNullException">If the result matrix is <see langword="null" />.</exception> 
         /// <exception cref="ArgumentException">If this matrix and <paramref name="other"/> are not the same size.</exception>
         /// <exception cref="ArgumentException">If this matrix and <paramref name="result"/> are not the same size.</exception>
-        public virtual void PointwiseMultiply(Matrix other, Matrix result)
+        public virtual void PointwiseMultiply(Matrix<T> other, Matrix<T> result)
         {
             if (other == null)
             {
@@ -739,13 +740,13 @@ namespace MathNet.Numerics.LinearAlgebra.Double
             }
 
             CommonParallel.For(
-                0, 
+                0,
-                ColumnCount, 
+                ColumnCount,
                 j =>
                 {
                     for (var i = 0; i < RowCount; i++)
                     {
-                        result.At(i, j, At(i, j) * other.At(i, j));
+                        result.At(i, j, MultiplyT(At(i, j), other.At(i, j)));
                     }
                 });
         }
@@ -757,7 +758,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double
         /// <exception cref="ArgumentNullException">If the other matrix is <see langword="null" />.</exception> 
         /// <exception cref="ArgumentException">If this matrix and <paramref name="other"/> are not the same size.</exception>
         /// <returns>A new matrix that is the pointwise division of this matrix and <paramref name="other"/>.</returns>
-        public virtual Matrix PointwiseDivide(Matrix other)
+        public virtual Matrix<T> PointwiseDivide(Matrix<T> other)
         {
             if (other == null)
             {
@@ -783,7 +784,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double
         /// <exception cref="ArgumentNullException">If the result matrix is <see langword="null" />.</exception> 
         /// <exception cref="ArgumentException">If this matrix and <paramref name="other"/> are not the same size.</exception>
         /// <exception cref="ArgumentException">If this matrix and <paramref name="result"/> are not the same size.</exception>
-        public virtual void PointwiseDivide(Matrix other, Matrix result)
+        public virtual void PointwiseDivide(Matrix<T> other, Matrix<T> result)
         {
             if (other == null)
             {
@@ -806,13 +807,13 @@ namespace MathNet.Numerics.LinearAlgebra.Double
             }
 
             CommonParallel.For(
-                0, 
+                0,
-                ColumnCount, 
+                ColumnCount,
                 j =>
                 {
                     for (var i = 0; i < RowCount; i++)
                     {
-                        result.At(i, j, At(i, j) / other.At(i, j));
+                        result.At(i, j, DivideT(At(i, j), other.At(i, j)));
                     }
                 });
         }
@@ -828,32 +829,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double
         /// </returns>
         /// <exception cref="ArgumentException">If the parameter <paramref name="numberOfRows"/> is not positive.</exception>
         /// <exception cref="ArgumentException">If the parameter <paramref name="numberOfColumns"/> is not positive.</exception>
-        public virtual Matrix Random(int numberOfRows, int numberOfColumns, IContinuousDistribution distribution)
+        public abstract Matrix<T> Random(int numberOfRows, int numberOfColumns, IContinuousDistribution distribution);
-        {
-            if (numberOfRows < 1)
-            {
-                throw new ArgumentException(Resources.ArgumentMustBePositive, "numberOfRows");
-            }
-
-            if (numberOfColumns < 1)
-            {
-                throw new ArgumentException(Resources.ArgumentMustBePositive, "numberOfColumns");
-            }
-
-            var matrix = CreateMatrix(numberOfRows, numberOfColumns);
-            CommonParallel.For(
-                0, 
-                ColumnCount, 
-                j =>
-                {
-                    for (var i = 0; i < matrix.RowCount; i++)
-                    {
-                        matrix[i, j] = distribution.Sample();
-                    }
-                });
-
-            return matrix;
-        }
 
         /// <summary>
         /// Generates matrix with random elements.
@@ -866,46 +842,23 @@ namespace MathNet.Numerics.LinearAlgebra.Double
         /// </returns>
         /// <exception cref="ArgumentException">If the parameter <paramref name="numberOfRows"/> is not positive.</exception>
         /// <exception cref="ArgumentException">If the parameter <paramref name="numberOfColumns"/> is not positive.</exception>
-        public virtual Matrix Random(int numberOfRows, int numberOfColumns, IDiscreteDistribution distribution)
+        public abstract Matrix<T> Random(int numberOfRows, int numberOfColumns, IDiscreteDistribution distribution);
-        {
-            if (numberOfRows < 1)
-            {
-                throw new ArgumentException(Resources.ArgumentMustBePositive, "numberOfRows");
-            }
-
-            if (numberOfColumns < 1)
-            {
-                throw new ArgumentException(Resources.ArgumentMustBePositive, "numberOfColumns");
-            }
-
-            var matrix = CreateMatrix(numberOfRows, numberOfColumns);
-            CommonParallel.For(
-                0, 
-                ColumnCount, 
-                j =>
-                {
-                    for (var i = 0; i < matrix.RowCount; i++)
-                    {
-                        matrix[i, j] = distribution.Sample();
-                    }
-                });
-
-            return matrix;
-        }
 
         /// <summary>
         /// Computes the trace of this matrix.
         /// </summary>
         /// <returns>The trace of this matrix</returns>
         /// <exception cref="ArgumentException">If the matrix is not square</exception>
-        public virtual double Trace()
+        public virtual T Trace()
         {
             if (RowCount != ColumnCount)
             {
                 throw new ArgumentException(Resources.ArgumentMatrixSquare);
             }
 
-            return CommonParallel.Aggregate(0, RowCount, i => this[i, i]);
+            var sum = default(T);
+            CommonParallel.For(0, RowCount, i => sum = AddT(sum, this[i, i]));
+            return sum;
         }
 
         /// <summary>
@@ -914,8 +867,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double
         /// <returns>effective numerical rank, obtained from SVD</returns>
         public virtual int Rank()
         {
-            var svd = this.Svd(false);
+            return Svd<T>.Create(this, false).Rank;
-            return svd.Rank;
         }
 
         /// <summary>Calculates the condition number of this matrix.</summary>
@@ -923,34 +875,31 @@ namespace MathNet.Numerics.LinearAlgebra.Double
         /// <remarks>The condition number is calculated using singular value decomposition.</remarks>
         public virtual double ConditionNumber()
         {
-            var svd = this.Svd(false);
+            return Svd<T>.Create(this, false).ConditionNumber;
-            return svd.ConditionNumber;
         }
 
         /// <summary>Computes the determinant of this matrix.</summary>
         /// <returns>The determinant of this matrix.</returns>
-        public virtual double Determinant()
+        public virtual T Determinant()
         {
             if (RowCount != ColumnCount)
             {
                 throw new ArgumentException(Resources.ArgumentMatrixSquare);
             }
 
-            var lu = this.LU();
+            return LU<T>.Create(this).Determinant;
-            return lu.Determinant;
         }
 
         /// <summary>Computes the inverse of this matrix.</summary>
         /// <returns>The inverse of this matrix.</returns>
-        public virtual Matrix Inverse()
+        public virtual Matrix<T> Inverse()
         {
             if (RowCount != ColumnCount)
             {
                 throw new ArgumentException(Resources.ArgumentMatrixSquare);
             }
 
-            var lu = this.LU();
+            return LU<T>.Create(this).Inverse();
-            return lu.Inverse();
         }
 
         /// <summary>
@@ -960,7 +909,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double
         /// <param name="other">The other matrix.</param>
         /// <exception cref="ArgumentNullException">If other is <see langword="null" />.</exception>
         /// <returns>The kronecker product of the two matrices.</returns>
-        public virtual Matrix KroneckerProduct(Matrix other)
+        public virtual Matrix<T> KroneckerProduct(Matrix<T> other)
         {
             if (other == null)
             {
@@ -981,7 +930,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double
         /// <exception cref="ArgumentNullException">If other is <see langword="null" />.</exception>
         /// <exception cref="ArgumentNullException">If the result matrix is <see langword="null" />.</exception>
         /// <exception cref="ArgumentException">If the result matrix's dimensions are not (this.Rows * lower.rows) x (this.Columns * lower.Columns).</exception>
-        public virtual void KroneckerProduct(Matrix other, Matrix result)
+        public virtual void KroneckerProduct(Matrix<T> other, Matrix<T> result)
         {
             if (other == null)
             {
@@ -1016,7 +965,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double
         /// <param name="p">The norm under which to normalize the columns under.</param>
         /// <returns>A normalized version of the matrix.</returns>
         /// <exception cref="ArgumentOutOfRangeException">If the parameter p is not positive.</exception>
-        public virtual Matrix NormalizeColumns(int p)
+        public virtual Matrix<T> NormalizeColumns(int p)
         {
             if (p < 1)
             {
@@ -1025,17 +974,9 @@ namespace MathNet.Numerics.LinearAlgebra.Double
 
             var ret = Clone();
             CommonParallel.For(
-                0, 
+                0,
-                ColumnCount, 
+                ColumnCount,
-                i =>
+                i => ret.SetColumn(i, Column(i).Normalize(p)));
-                {
-                    var coli = Column(i);
-                    var norm = coli.Norm(p);
-                    for (var j = 0; j < RowCount; j++)
-                    {
-                        ret[j, i] = coli[j] / norm;
-                    }
-                });
             return ret;
         }
 
@@ -1045,7 +986,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double
         /// <param name="p">The norm under which to normalize the rows under.</param>
         /// <returns>A normalized version of the matrix.</returns>
         /// <exception cref="ArgumentOutOfRangeException">If the parameter p is not positive.</exception>
-        public virtual Matrix NormalizeRows(int p)
+        public virtual Matrix<T> NormalizeRows(int p)
         {
             if (p < 1)
             {
@@ -1054,32 +995,10 @@ namespace MathNet.Numerics.LinearAlgebra.Double
 
             var ret = Clone();
 
-            // BUG: Seems that commented-out implementation is wrong.
-            // CommonParallel.For(
-            //    0, 
-            //    ColumnCount, 
-            //    j =>
-            //    {
-            //        var rowj = Row(j);
-            //        var norm = rowj.Norm(p);
-            //        for (var i = 0; i < RowCount; i++)
-            //        {
-            //            ret[i, j] = rowj[j] / norm;
-            //        }
-            //    });
             CommonParallel.For(
                 0,
                 RowCount,
-                i =>
+                i => ret.SetRow(i, Row(i).Normalize(p)));
-                {
-                    var rowi = Row(i);
-                    var norm = rowi.Norm(p);
-                    for (var j = 0; j < ColumnCount; j++)
-                    {
-                        ret[i, j] = rowi[j] / norm;
-                    }
-                });
-
             return ret;
         }
     }

src/Numerics/LinearAlgebra/Double/Matrix.cs → src/Numerics/LinearAlgebra/Generic/Matrix.cs

@@ -24,10 +24,11 @@
 // OTHER DEALINGS IN THE SOFTWARE.
 // </copyright>
 
-namespace MathNet.Numerics.LinearAlgebra.Double
+namespace MathNet.Numerics.LinearAlgebra.Generic
 {
     using System;
     using System.Collections.Generic;
+    using System.Numerics;
     using System.Text;
     using Factorization;
     using Properties;
@@ -36,16 +37,18 @@ namespace MathNet.Numerics.LinearAlgebra.Double
     /// <summary>
     /// Defines the base class for <c>Matrix</c> classes.
     /// </summary>
+    /// <typeparam name="T">Supported data types are double, single, <see cref="Complex"/>, and <see cref="Complex32"/>.</typeparam>
     [Serializable]
-    public abstract partial class Matrix :
+    public abstract partial class Matrix<T> :
 #if SILVERLIGHT
-   IFormattable, IEquatable<Matrix>
+    IFormattable, IEquatable<Matrix<T>>
 #else
-        IFormattable, IEquatable<Matrix>, ICloneable
+    IFormattable, IEquatable<Matrix<T>>, ICloneable
 #endif
+    where T : struct, IEquatable<T>, IFormattable
     {
         /// <summary>
-        /// Initializes a new instance of the <see cref="Matrix"/> class.
+        /// Initializes a new instance of the Matrix class.
         /// </summary>
         /// <param name="rows">
         /// The number of rows.
@@ -70,7 +73,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double
         }
 
         /// <summary>
-        /// Initializes a new instance of the <see cref="Matrix"/> class.
+        /// Initializes a new instance of the Matrix class.
         /// </summary>
         /// <param name="order">
         /// The order of the matrix.
@@ -116,9 +119,9 @@ namespace MathNet.Numerics.LinearAlgebra.Double
         /// The column of the element.
         /// </param>
         /// <value>The double value to get or set.</value>
-        /// <remarks>This method is ranged checked. <see cref="At(int,int)"/> and <see cref="At(int,int,double)"/>
+        /// <remarks>This method is ranged checked. <see cref="At(int,int)"/> and <see cref="At(int,int,T)"/>
         /// to get and set values without range checking.</remarks>
-        public virtual double this[int row, int column]
+        public virtual T this[int row, int column]
         {
             get
             {
@@ -145,7 +148,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double
         /// <returns>
         /// The requested element.
         /// </returns>
-        public abstract double At(int row, int column);
+        public abstract T At(int row, int column);
 
         /// <summary>
         /// Sets the value of the given element.
@@ -159,7 +162,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double
         /// <param name="value">
         /// The value to set the element to.
         /// </param>
-        public abstract void At(int row, int column, double value);
+        public abstract void At(int row, int column, T value);
 
         /// <summary>
         /// Creates a clone of this instance.
@@ -167,7 +170,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double
         /// <returns>
         /// A clone of the instance.
         /// </returns>
-        public virtual Matrix Clone()
+        public virtual Matrix<T> Clone()
         {
             var result = CreateMatrix(RowCount, ColumnCount);
             CopyTo(result);
@@ -186,7 +189,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double
         /// <exception cref="ArgumentException">
         /// If this and the target matrix do not have the same dimensions..
         /// </exception>
-        public virtual void CopyTo(Matrix target)
+        public virtual void CopyTo(Matrix<T> target)
         {
             if (target == null)
             {
@@ -227,19 +230,19 @@ namespace MathNet.Numerics.LinearAlgebra.Double
         /// <remarks>
         /// Creates a matrix of the same matrix type as the current matrix.
         /// </remarks>
-        public abstract Matrix CreateMatrix(int numberOfRows, int numberOfColumns);
+        public abstract Matrix<T> CreateMatrix(int numberOfRows, int numberOfColumns);
 
         /// <summary>
-        /// Creates a <see cref="Vector"/> with a the given dimension.
+        /// Creates a Vector with a the given dimension.
         /// </summary>
         /// <param name="size">The size of the vector.</param>
         /// <returns>
-        /// A <see cref="Vector"/> with the given dimension.
+        /// A Vector with the given dimension.
         /// </returns>
         /// <remarks>
         /// Creates a vector of the same type as the current matrix.
         /// </remarks>
-        public abstract Vector CreateVector(int size);
+        public abstract Vector<T> CreateVector(int size);
 
         /// <summary>
         /// Returns a <see cref="System.String"/> that represents this instance.
@@ -253,13 +256,13 @@ namespace MathNet.Numerics.LinearAlgebra.Double
         }
 
         /// <summary>
-        /// Copies a row into an <see cref="Vector"/>.
+        /// Copies a row into an Vector.
         /// </summary>
         /// <param name="index">The row to copy.</param>
-        /// <returns>A <see cref="Vector"/> containing the copied elements.</returns>
+        /// <returns>A Vector containing the copied elements.</returns>
         /// <exception cref="ArgumentOutOfRangeException">If <paramref name="index"/> is negative,
         /// or greater than or equal to the number of rows.</exception>
-        public virtual Vector Row(int index)
+        public virtual Vector<T> Row(int index)
         {
             var ret = CreateVector(ColumnCount);
             Row(index, 0, ColumnCount, ret);
@@ -267,26 +270,26 @@ namespace MathNet.Numerics.LinearAlgebra.Double
         }
 
         /// <summary>
-        /// Copies a row into to the given <see cref="Vector"/>.
+        /// Copies a row into to the given Vector.
         /// </summary>
         /// <param name="index">The row to copy.</param>
-        /// <param name="result">The <see cref="Vector"/> to copy the row into.</param>
+        /// <param name="result">The Vector to copy the row into.</param>
         /// <exception cref="ArgumentNullException">If the result vector is <see langword="null" />.</exception>
         /// <exception cref="ArgumentOutOfRangeException">If <paramref name="index"/> is negative,
         /// or greater than or equal to the number of rows.</exception>
         /// <exception cref="ArgumentOutOfRangeException">If <b>this.Columns != result.Count</b>.</exception>
-        public virtual void Row(int index, Vector result)
+        public virtual void Row(int index, Vector<T> result)
         {
             Row(index, 0, ColumnCount, result);
         }
 
         /// <summary>
-        /// Copies the requested row elements into a new <see cref="Vector"/>.
+        /// Copies the requested row elements into a new Vector.
         /// </summary>
         /// <param name="rowIndex">The row to copy elements from.</param>
         /// <param name="columnIndex">The column to start copying from.</param>
         /// <param name="length">The number of elements to copy.</param>
-        /// <returns>A <see cref="Vector"/> containing the requested elements.</returns>
+        /// <returns>A Vector containing the requested elements.</returns>
         /// <exception cref="ArgumentOutOfRangeException">If:
         /// <list><item><paramref name="rowIndex"/> is negative,
         /// or greater than or equal to the number of rows.</item>
@@ -294,7 +297,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double
         /// or greater than or equal to the number of columns.</item>
         /// <item><c>(columnIndex + length) &gt;= Columns.</c></item></list></exception>        
         /// <exception cref="ArgumentException">If <paramref name="length"/> is not positive.</exception>
-        public virtual Vector Row(int rowIndex, int columnIndex, int length)
+        public virtual Vector<T> Row(int rowIndex, int columnIndex, int length)
         {
             var ret = CreateVector(length);
             Row(rowIndex, columnIndex, length, ret);
@@ -302,13 +305,13 @@ namespace MathNet.Numerics.LinearAlgebra.Double
         }
 
         /// <summary>
-        /// Copies the requested row elements into a new <see cref="Vector"/>.
+        /// Copies the requested row elements into a new Vector.
         /// </summary>
         /// <param name="rowIndex">The row to copy elements from.</param>
         /// <param name="columnIndex">The column to start copying from.</param>
         /// <param name="length">The number of elements to copy.</param>
-        /// <param name="result">The <see cref="Vector"/> to copy the column into.</param>
+        /// <param name="result">The Vector to copy the column into.</param>
-        /// <exception cref="ArgumentNullException">If the result <see cref="Vector"/> is <see langword="null" />.</exception>
+        /// <exception cref="ArgumentNullException">If the result Vector is <see langword="null" />.</exception>
         /// <exception cref="ArgumentOutOfRangeException">If <paramref name="rowIndex"/> is negative,
         /// or greater than or equal to the number of columns.</exception>        
         /// <exception cref="ArgumentOutOfRangeException">If <paramref name="columnIndex"/> is negative,
@@ -317,7 +320,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double
         /// is greater than or equal to the number of rows.</exception>
         /// <exception cref="ArgumentException">If <paramref name="length"/> is not positive.</exception>
         /// <exception cref="ArgumentOutOfRangeException">If <strong>result.Count &lt; length</strong>.</exception>
-        public virtual void Row(int rowIndex, int columnIndex, int length, Vector result)
+        public virtual void Row(int rowIndex, int columnIndex, int length, Vector<T> result)
         {
             if (result == null)
             {
@@ -356,13 +359,13 @@ namespace MathNet.Numerics.LinearAlgebra.Double
         }
 
         /// <summary>
-        /// Copies a column into a new <see cref="Vector"/>.
+        /// Copies a column into a new Vector>.
         /// </summary>
         /// <param name="index">The column to copy.</param>
-        /// <returns>A <see cref="Vector"/> containing the copied elements.</returns>
+        /// <returns>A Vector containing the copied elements.</returns>
         /// <exception cref="ArgumentOutOfRangeException">If <paramref name="index"/> is negative,
         /// or greater than or equal to the number of columns.</exception>
-        public virtual Vector Column(int index)
+        public virtual Vector<T> Column(int index)
         {
             var result = CreateVector(RowCount);
             Column(index, 0, RowCount, result);
@@ -370,26 +373,26 @@ namespace MathNet.Numerics.LinearAlgebra.Double
         }
 
         /// <summary>
-        /// Copies a column into to the given <see cref="Vector"/>.
+        /// Copies a column into to the given Vector.
         /// </summary>
         /// <param name="index">The column to copy.</param>
-        /// <param name="result">The <see cref="Vector"/> to copy the column into.</param>
+        /// <param name="result">The Vector to copy the column into.</param>
-        /// <exception cref="ArgumentNullException">If the result <see cref="Vector"/> is <see langword="null" />.</exception>
+        /// <exception cref="ArgumentNullException">If the result Vector is <see langword="null" />.</exception>
         /// <exception cref="ArgumentOutOfRangeException">If <paramref name="index"/> is negative,
         /// or greater than or equal to the number of columns.</exception>
         /// <exception cref="ArgumentOutOfRangeException">If <b>this.Rows != result.Count</b>.</exception>
-        public virtual void Column(int index, Vector result)
+        public virtual void Column(int index, Vector<T> result)
         {
             Column(index, 0, RowCount, result);
         }
 
         /// <summary>
-        /// Copies the requested column elements into a new <see cref="Vector"/>.
+        /// Copies the requested column elements into a new Vector.
         /// </summary>
         /// <param name="columnIndex">The column to copy elements from.</param>
         /// <param name="rowIndex">The row to start copying from.</param>
         /// <param name="length">The number of elements to copy.</param>
-        /// <returns>A <see cref="Vector"/> containing the requested elements.</returns>
+        /// <returns>A Vector containing the requested elements.</returns>
         /// <exception cref="ArgumentOutOfRangeException">If:
         /// <list><item><paramref name="columnIndex"/> is negative,
         /// or greater than or equal to the number of columns.</item>
@@ -398,7 +401,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double
         /// <item><c>(rowIndex + length) &gt;= Rows.</c></item></list>
         /// </exception>        
         /// <exception cref="ArgumentException">If <paramref name="length"/> is not positive.</exception>
-        public virtual Vector Column(int columnIndex, int rowIndex, int length)
+        public virtual Vector<T> Column(int columnIndex, int rowIndex, int length)
         {
             var result = CreateVector(length);
             Column(columnIndex, rowIndex, length, result);
@@ -411,8 +414,8 @@ namespace MathNet.Numerics.LinearAlgebra.Double
         /// <param name="columnIndex">The column to copy elements from.</param>
         /// <param name="rowIndex">The row to start copying from.</param>
         /// <param name="length">The number of elements to copy.</param>
-        /// <param name="result">The <see cref="Vector"/> to copy the column into.</param>
+        /// <param name="result">The Vector to copy the column into.</param>
-        /// <exception cref="ArgumentNullException">If the result <see cref="Vector"/> is <see langword="null" />.</exception>
+        /// <exception cref="ArgumentNullException">If the result Vector is <see langword="null" />.</exception>
         /// <exception cref="ArgumentOutOfRangeException">If <paramref name="columnIndex"/> is negative,
         /// or greater than or equal to the number of columns.</exception>        
         /// <exception cref="ArgumentOutOfRangeException">If <paramref name="rowIndex"/> is negative,
@@ -421,7 +424,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double
         /// is greater than or equal to the number of rows.</exception>
         /// <exception cref="ArgumentException">If <paramref name="length"/> is not positive.</exception>
         /// <exception cref="ArgumentOutOfRangeException">If <strong>result.Count &lt; length</strong>.</exception>
-        public virtual void Column(int columnIndex, int rowIndex, int length, Vector result)
+        public virtual void Column(int columnIndex, int rowIndex, int length, Vector<T> result)
         {
             if (result == null)
             {
@@ -463,7 +466,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double
         /// Returns a new matrix containing the lower triangle of this matrix.
         /// </summary>
         /// <returns>The lower triangle of this matrix.</returns>        
-        public virtual Matrix LowerTriangle()
+        public virtual Matrix<T> LowerTriangle()
         {
             var ret = CreateMatrix(RowCount, ColumnCount);
             CommonParallel.For(
@@ -485,7 +488,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double
         /// <param name="result">Where to store the lower triangle.</param>
         /// <exception cref="ArgumentNullException">If <paramref name="result"/> is <see langword="null" />.</exception>
         /// <exception cref="ArgumentException">If the result matrix's dimensions are not the same as this matrix.</exception>
-        public virtual void LowerTriangle(Matrix result)
+        public virtual void LowerTriangle(Matrix<T> result)
         {
             if (result == null)
             {
@@ -504,7 +507,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double
                 {
                     for (var i = 0; i < RowCount; i++)
                     {
-                        result.At(i, j, i >= j ? At(i, j) : 0);
+                        result.At(i, j, i >= j ? At(i, j) : default(T));
                     }
                 });
         }
@@ -513,7 +516,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double
         /// Returns a new matrix containing the upper triangle of this matrix.
         /// </summary>
         /// <returns>The upper triangle of this matrix.</returns>   
-        public virtual Matrix UpperTriangle()
+        public virtual Matrix<T> UpperTriangle()
         {
             var ret = CreateMatrix(RowCount, ColumnCount);
             CommonParallel.For(
@@ -538,7 +541,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double
         /// <param name="result">Where to store the lower triangle.</param>
         /// <exception cref="ArgumentNullException">If <paramref name="result"/> is <see langword="null" />.</exception>
         /// <exception cref="ArgumentException">If the result matrix's dimensions are not the same as this matrix.</exception>
-        public virtual void UpperTriangle(Matrix result)
+        public virtual void UpperTriangle(Matrix<T> result)
         {
             if (result == null)
             {
@@ -557,7 +560,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double
                 {
                     for (var i = 0; i < RowCount; i++)
                     {
-                        result.At(i, j, i <= j ? At(i, j) : 0);
+                        result.At(i, j, i <= j ? At(i, j) : default(T));
                     }
                 });
         }
@@ -578,7 +581,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double
         /// <item><c>(rowIndex + rowLength) &gt;= Rows</c></item></list></exception>        
         /// <exception cref="ArgumentException">If <paramref name="rowLength"/> or <paramref name="columnLength"/>
         /// is not positive.</exception>
-        public virtual Matrix SubMatrix(int rowIndex, int rowLength, int columnIndex, int columnLength)
+        public virtual Matrix<T> SubMatrix(int rowIndex, int rowLength, int columnIndex, int columnLength)
         {
             if (rowIndex >= RowCount || rowIndex < 0)
             {
@@ -633,11 +636,11 @@ namespace MathNet.Numerics.LinearAlgebra.Double
         /// </summary>
         /// <returns>An <see cref="IEnumerator{T}"/> that enumerates over the matrix columns</returns>
         /// <seealso cref="IEnumerator{T}"/>
-        public virtual IEnumerable<KeyValuePair<int, Vector>> ColumnEnumerator()
+        public virtual IEnumerable<KeyValuePair<int, Vector<T>>> ColumnEnumerator()
         {
             for (var i = 0; i < ColumnCount; i++)
             {
-                yield return new KeyValuePair<int, Vector>(i, Column(i));
+                yield return new KeyValuePair<int, Vector<T>>(i, Column(i));
             }
         }
 
@@ -654,7 +657,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double
         /// <item><c>(index + length) &gt;= Columns.</c></item></list>
         /// </exception>   
         /// <exception cref="ArgumentException">If <paramref name="length"/> is not positive.</exception>     
-        public virtual IEnumerable<KeyValuePair<int, Vector>> ColumnEnumerator(int index, int length)
+        public virtual IEnumerable<KeyValuePair<int, Vector<T>>> ColumnEnumerator(int index, int length)
         {
             if (index >= ColumnCount || index < 0)
             {
@@ -674,7 +677,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double
             var maxIndex = index + length;
             for (var i = index; i < maxIndex; i++)
             {
-                yield return new KeyValuePair<int, Vector>(i, Column(i));
+                yield return new KeyValuePair<int, Vector<T>>(i, Column(i));
             }
         }
 
@@ -690,7 +693,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double
         /// or greater than or equal to the number of rows.</item>        
         /// <item><c>(index + length) &gt;= Rows.</c></item></list></exception>        
         /// <exception cref="ArgumentException">If <paramref name="length"/> is not positive.</exception>     
-        public virtual IEnumerable<KeyValuePair<int, Vector>> RowEnumerator(int index, int length)
+        public virtual IEnumerable<KeyValuePair<int, Vector<T>>> RowEnumerator(int index, int length)
         {
             if (index >= RowCount || index < 0)
             {
@@ -710,7 +713,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double
             var maxi = index + length;
             for (var i = index; i < maxi; i++)
             {
-                yield return new KeyValuePair<int, Vector>(i, Row(i));
+                yield return new KeyValuePair<int, Vector<T>>(i, Row(i));
             }
         }
 
@@ -719,21 +722,21 @@ namespace MathNet.Numerics.LinearAlgebra.Double
         /// </summary>
         /// <returns>An <see cref="IEnumerator{T}"/> that enumerates over the matrix rows</returns>
         /// <seealso cref="IEnumerator{T}"/>        
-        public virtual IEnumerable<KeyValuePair<int, Vector>> RowEnumerator()
+        public virtual IEnumerable<KeyValuePair<int, Vector<T>>> RowEnumerator()
         {
             for (var i = 0; i < RowCount; i++)
             {
-                yield return new KeyValuePair<int, Vector>(i, Row(i));
+                yield return new KeyValuePair<int, Vector<T>>(i, Row(i));
             }
         }
 
         /// <summary>
-        /// Returns the elements of the diagonal in a <see cref="Vector"/>.
+        /// Returns the elements of the diagonal in a Vector.
         /// </summary>
         /// <returns>The elements of the diagonal.</returns>
         /// <remarks>For non-square matrices, the method returns Min(Rows, Columns) elements where
         /// i == j (i is the row index, and j is the column index).</remarks>
-        public virtual Vector Diagonal()
+        public virtual Vector<T> Diagonal()
         {
             var min = Math.Min(RowCount, ColumnCount);
             var diagonal = CreateVector(min);
@@ -749,7 +752,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double
         /// does not contain the diagonal elements of this matrix.
         /// </summary>
         /// <returns>The lower triangle of this matrix.</returns>
-        public virtual Matrix StrictlyLowerTriangle()
+        public virtual Matrix<T> StrictlyLowerTriangle()
         {
             var result = CreateMatrix(RowCount, ColumnCount);
             CommonParallel.For(
@@ -774,7 +777,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double
         /// <param name="result">Where to store the lower triangle.</param>
         /// <exception cref="ArgumentNullException">If <paramref name="result"/> is <see langword="null" />.</exception>
         /// <exception cref="ArgumentException">If the result matrix's dimensions are not the same as this matrix.</exception>
-        public virtual void StrictlyLowerTriangle(Matrix result)
+        public virtual void StrictlyLowerTriangle(Matrix<T> result)
         {
             if (result == null)
             {
@@ -793,7 +796,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double
                 {
                     for (var j = 0; j < ColumnCount; j++)
                     {
-                        result.At(i, j, i > j ? At(i, j) : 0);
+                        result.At(i, j, i > j ? At(i, j) : default(T));
                     }
                 });
         }
@@ -803,7 +806,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double
         /// does not contain the diagonal elements of this matrix.
         /// </summary>
         /// <returns>The upper triangle of this matrix.</returns>
-        public virtual Matrix StrictlyUpperTriangle()
+        public virtual Matrix<T> StrictlyUpperTriangle()
         {
             var result = CreateMatrix(RowCount, ColumnCount);
             CommonParallel.For(
@@ -822,6 +825,36 @@ namespace MathNet.Numerics.LinearAlgebra.Double
             return result;
         }
 
+        /// <summary>
+        /// Puts the strictly upper triangle of this matrix into the result matrix.
+        /// </summary>
+        /// <param name="result">Where to store the lower triangle.</param>
+        /// <exception cref="ArgumentNullException">If <paramref name="result"/> is <see langword="null" />.</exception>
+        /// <exception cref="ArgumentException">If the result matrix's dimensions are not the same as this matrix.</exception>
+        public virtual void StrictlyUpperTriangle(Matrix<T> result)
+        {
+            if (result == null)
+            {
+                throw new ArgumentNullException("result");
+            }
+
+            if (result.RowCount != RowCount || result.ColumnCount != ColumnCount)
+            {
+                throw new ArgumentException(Resources.ArgumentMatrixDimensions, "result");
+            }
+
+            CommonParallel.For(
+                0,
+                RowCount,
+                i =>
+                {
+                    for (var j = 0; j < ColumnCount; j++)
+                    {
+                        result.At(i, j, i < j ? At(i, j) : default(T));
+                    }
+                });
+        }
+
         /// <summary>
         /// Creates a new matrix and inserts the given column at the given index.
         /// </summary>
@@ -831,7 +864,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double
         /// <exception cref="ArgumentNullException">If <paramref name="column "/> is <see langword="null" />. </exception>
         /// <exception cref="ArgumentOutOfRangeException">If <paramref name="columnIndex"/> is &lt; zero or &gt; the number of columns.</exception>
         /// <exception cref="ArgumentException">If the size of <paramref name="column"/> != the number of rows.</exception>
-        public virtual Matrix InsertColumn(int columnIndex, Vector column)
+        public virtual Matrix<T> InsertColumn(int columnIndex, Vector<T> column)
         {
             if (column == null)
             {
@@ -877,7 +910,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double
         /// equal the number of rows of this <strong>Matrix</strong>.</exception>
         /// <exception cref="ArgumentException">If the size of <paramref name="column"/> does not
         /// equal the number of rows of this <strong>Matrix</strong>.</exception>
-        public virtual void SetColumn(int columnIndex, double[] column)
+        public virtual void SetColumn(int columnIndex, T[] column)
         {
             if (columnIndex < 0 || columnIndex >= ColumnCount)
             {
@@ -901,7 +934,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double
         }
 
         /// <summary>
-        /// Copies the values of the given <see cref="Vector"/> to the specified column.
+        /// Copies the values of the given Vector to the specified column.
         /// </summary>
         /// <param name="columnIndex">The column to copy the values to.</param>
         /// <param name="column">The vector to copy the values from.</param>
@@ -910,7 +943,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double
         /// or greater than or equal to the number of columns.</exception>
         /// <exception cref="ArgumentException">If the size of <paramref name="column"/> does not
         /// equal the number of rows of this <strong>Matrix</strong>.</exception>
-        public virtual void SetColumn(int columnIndex, Vector column)
+        public virtual void SetColumn(int columnIndex, Vector<T> column)
         {
             if (columnIndex < 0 || columnIndex >= ColumnCount)
             {
@@ -942,7 +975,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double
         /// <exception cref="ArgumentNullException">If <paramref name="row"/> is <see langword="null" />. </exception>
         /// <exception cref="ArgumentOutOfRangeException">If <paramref name="rowIndex"/> is &lt; zero or &gt; the number of rows.</exception>
         /// <exception cref="ArgumentException">If the size of <paramref name="row"/> != the number of columns.</exception>
-        public virtual Matrix InsertRow(int rowIndex, Vector row)
+        public virtual Matrix<T> InsertRow(int rowIndex, Vector<T> row)
         {
             if (row == null)
             {
@@ -977,7 +1010,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double
         }
 
         /// <summary>
-        /// Copies the values of the given <see cref="Vector"/> to the specified row.
+        /// Copies the values of the given Vector to the specified row.
         /// </summary>
         /// <param name="rowIndex">The row to copy the values to.</param>
         /// <param name="row">The vector to copy the values from.</param>
@@ -986,7 +1019,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double
         /// or greater than or equal to the number of rows.</exception>
         /// <exception cref="ArgumentException">If the size of <paramref name="row"/> does not
         /// equal the number of columns of this <strong>Matrix</strong>.</exception>
-        public virtual void SetRow(int rowIndex, Vector row)
+        public virtual void SetRow(int rowIndex, Vector<T> row)
         {
             if (rowIndex < 0 || rowIndex >= RowCount)
             {
@@ -1019,7 +1052,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double
         /// or greater than or equal to the number of rows.</exception>
         /// <exception cref="ArgumentException">If the size of <paramref name="row"/> does not
         /// equal the number of columns of this <strong>Matrix</strong>.</exception>
-        public virtual void SetRow(int rowIndex, double[] row)
+        public virtual void SetRow(int rowIndex, T[] row)
         {
             if (rowIndex < 0 || rowIndex >= RowCount)
             {
@@ -1060,7 +1093,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double
         /// <item>the size of <paramref name="subMatrix"/> is not at least <paramref name="rowLength"/> x <paramref name="columnLength"/>.</item>
         /// <exception cref="ArgumentException">If <paramref name="rowLength"/> or <paramref name="columnLength"/>
         /// is not positive.</exception>
-        public virtual void SetSubMatrix(int rowIndex, int rowLength, int columnIndex, int columnLength, Matrix subMatrix)
+        public virtual void SetSubMatrix(int rowIndex, int rowLength, int columnIndex, int columnLength, Matrix<T> subMatrix)
         {
             if (rowIndex >= RowCount || rowIndex < 0)
             {
@@ -1123,7 +1156,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double
         }
 
         /// <summary>
-        /// Copies the values of the given <see cref="Vector"/> to the diagonal.
+        /// Copies the values of the given Vector to the diagonal.
         /// </summary>
         /// <param name="source">The vector to copy the values from. The length of the vector should be
         /// Min(Rows, Columns).</param>
@@ -1132,7 +1165,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double
         /// equal Min(Rows, Columns).</exception>
         /// <remarks>For non-square matrices, the elements of <paramref name="source"/> are copied to
         /// this[i,i].</remarks>
-        public virtual void SetDiagonal(Vector source)
+        public virtual void SetDiagonal(Vector<T> source)
         {
             if (source == null)
             {
@@ -1162,7 +1195,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double
         /// equal Min(Rows, Columns).</exception>
         /// <remarks>For non-square matrices, the elements of <paramref name="source"/> are copied to
         /// this[i,i].</remarks>
-        public virtual void SetDiagonal(double[] source)
+        public virtual void SetDiagonal(T[] source)
         {
             if (source == null)
             {
@@ -1182,43 +1215,13 @@ namespace MathNet.Numerics.LinearAlgebra.Double
                 i => At(i, i, source[i]));
         }
 
-        /// <summary>
-        /// Puts the strictly upper triangle of this matrix into the result matrix.
-        /// </summary>
-        /// <param name="result">Where to store the lower triangle.</param>
-        /// <exception cref="ArgumentNullException">If <paramref name="result"/> is <see langword="null" />.</exception>
-        /// <exception cref="ArgumentException">If the result matrix's dimensions are not the same as this matrix.</exception>
-        public virtual void StrictlyUpperTriangle(Matrix result)
-        {
-            if (result == null)
-            {
-                throw new ArgumentNullException("result");
-            }
-
-            if (result.RowCount != RowCount || result.ColumnCount != ColumnCount)
-            {
-                throw new ArgumentException(Resources.ArgumentMatrixDimensions, "result");
-            }
-
-            CommonParallel.For(
-                0, 
-                RowCount, 
-                i =>
-                {
-                    for (var j = 0; j < ColumnCount; j++)
-                    {
-                        result.At(i, j, i < j ? At(i, j) : 0);
-                    }
-                });
-        }
-
         /// <summary>
         /// Returns this matrix as a multidimensional array.
         /// </summary>
         /// <returns>A multidimensional containing the values of this matrix.</returns>        
-        public virtual double[,] ToArray()
+        public virtual T[,] ToArray()
         {
-            var ret = new double[RowCount, ColumnCount];
+            var ret = new T[RowCount, ColumnCount];
             CommonParallel.For(
                 0, 
                 ColumnCount, 
@@ -1241,9 +1244,9 @@ namespace MathNet.Numerics.LinearAlgebra.Double
         /// 7, 8, 9
         /// </pre></example>
         /// <returns>An array containing the matrix's elements.</returns>
-        public virtual double[] ToColumnWiseArray()
+        public virtual T[] ToColumnWiseArray()
         {
-            var ret = new double[RowCount * ColumnCount];
+            var ret = new T[RowCount * ColumnCount];
             foreach (var column in ColumnEnumerator())
             {
                 var columnIndex = column.Key * RowCount;
@@ -1265,9 +1268,9 @@ namespace MathNet.Numerics.LinearAlgebra.Double
         /// 7, 8, 9
         /// </pre></example>
         /// <returns>An array containing the matrix's elements.</returns>
-        public virtual double[] ToRowWiseArray()
+        public virtual T[] ToRowWiseArray()
         {
-            var ret = new double[RowCount * ColumnCount];
+            var ret = new T[RowCount * ColumnCount];
 
             foreach (var row in RowEnumerator())
             {
@@ -1302,7 +1305,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double
 
 #endif
 
-        #region IEquatable<Matrix>
+        #region IEquatable<Matrix<T>>
 
         /// <summary>
         /// Indicates whether the current object is equal to another object of the same type.
@@ -1313,7 +1316,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double
         /// <returns>
         /// <c>true</c> if the current object is equal to the <paramref name="other"/> parameter; otherwise, <c>false</c>.
         /// </returns>
-        public bool Equals(Matrix other)
+        public virtual bool Equals(Matrix<T> other)
         {
             // Reject equality when the argument is null or has a different shape.
             if (other == null)
@@ -1337,7 +1340,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double
             {
                 for (var column = 0; column < ColumnCount; column++)
                 {
-                    if (At(row, column) != other.At(row, column))
+                    if (!At(row, column).Equals(other.At(row, column)))
                     {
                         return false;
                     }
@@ -1363,7 +1366,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double
         /// <returns>
         /// A <see cref="System.String"/> that represents this instance.
         /// </returns>
-        public string ToString(string format, IFormatProvider formatProvider)
+        public virtual string ToString(string format, IFormatProvider formatProvider)
         {
             var stringBuilder = new StringBuilder();
             for (var row = 0; row < RowCount; row++)
@@ -1423,7 +1426,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double
         /// </returns>
         public override bool Equals(object obj)
         {
-            return Equals(obj as Matrix);
+            return Equals(obj as Matrix<T>);
         }
 
         /// <summary>
@@ -1442,15 +1445,14 @@ namespace MathNet.Numerics.LinearAlgebra.Double
                 var row = (i - col) / RowCount;
 
 #if SILVERLIGHT
-                hash ^= Precision.DoubleToInt64Bits(this[row, col]);
+                hash ^= Precision.DoubleToInt64Bits(this[row, col].GetHashCode());
 #else
-                hash ^= BitConverter.DoubleToInt64Bits(this[row, col]);
+                hash ^= BitConverter.DoubleToInt64Bits(this[row, col].GetHashCode());
 #endif
             }
 
             return BitConverter.ToInt32(BitConverter.GetBytes(hash), 4);
         }
-
         #endregion
 
         /// <summary>
@@ -1462,7 +1464,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double
             {
                 for (var j = 0; j < ColumnCount; j++)
                 {
-                    At(i, j, 0);
+                    At(i, j, default(T));
                 }
             }
         }
@@ -1471,7 +1473,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double
         /// Returns the transpose of this matrix.
         /// </summary>        
         /// <returns>The transpose of this matrix.</returns>
-        public virtual Matrix Transpose()
+        public virtual Matrix<T> Transpose()
         {
             var ret = CreateMatrix(ColumnCount, RowCount);
             for (var j = 0; j < ColumnCount; j++)
@@ -1548,7 +1550,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double
         /// </summary>
         /// <param name="right">The matrix to concatenate.</param>
         /// <returns>The combined matrix.</returns>
-        public virtual Matrix Append(Matrix right)
+        public virtual Matrix<T> Append(Matrix<T> right)
         {
             if (right == null)
             {
@@ -1570,7 +1572,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double
         /// </summary>
         /// <param name="right">The matrix to concatenate.</param>
         /// <param name="result">The combined matrix.</param>
-        public virtual void Append(Matrix right, Matrix result)
+        public virtual void Append(Matrix<T> right, Matrix<T> result)
         {
             if (right == null)
             {
@@ -1622,7 +1624,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double
         /// <returns>The combined matrix.</returns>
         /// <exception cref="ArgumentNullException">If lower is <see langword="null" />.</exception>
         /// <exception cref="ArgumentException">If <strong>upper.Columns != lower.Columns</strong>.</exception>
-        public virtual Matrix Stack(Matrix lower)
+        public virtual Matrix<T> Stack(Matrix<T> lower)
         {
             if (lower == null)
             {
@@ -1646,7 +1648,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double
         /// <param name="result">The combined matrix.</param>
         /// <exception cref="ArgumentNullException">If lower is <see langword="null" />.</exception>
         /// <exception cref="ArgumentException">If <strong>upper.Columns != lower.Columns</strong>.</exception>
-        public virtual void Stack(Matrix lower, Matrix result)
+        public virtual void Stack(Matrix<T> lower, Matrix<T> result)
         {
             if (lower == null)
             {
@@ -1699,7 +1701,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double
         /// <param name="lower">The lower, right matrix.</param>
         /// <exception cref="ArgumentNullException">If lower is <see langword="null" />.</exception>
         /// <returns>the combined matrix</returns>
-        public virtual Matrix DiagonalStack(Matrix lower)
+        public virtual Matrix<T> DiagonalStack(Matrix<T> lower)
         {
             if (lower == null)
             {
@@ -1719,7 +1721,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double
         /// <exception cref="ArgumentNullException">If lower is <see langword="null" />.</exception>
         /// <exception cref="ArgumentNullException">If the result matrix is <see langword="null" />.</exception>
         /// <exception cref="ArgumentException">If the result matrix's dimensions are not (this.Rows + lower.rows) x (this.Columns + lower.Columns).</exception>
-        public virtual void DiagonalStack(Matrix lower, Matrix result)
+        public virtual void DiagonalStack(Matrix<T> lower, Matrix<T> result)
         {
             if (lower == null)
             {
@@ -1769,7 +1771,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double
                 var s = 0.0;
                 for (var i = 0; i < RowCount; i++)
                 {
-                    s += Math.Abs(At(i, j));
+                    s += AbsoluteT(At(i, j));
                 }
 
                 norm = Math.Max(norm, s);
@@ -1784,7 +1786,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double
         /// In a later release, it will be replaced with a sparse implementation.</remarks>
         public virtual double L2Norm()
         {
-            return Svd.Create(this, false).Norm2;
+            return Svd<T>.Create(this, false).Norm2;
         }
 
         /// <summary>Calculates the Frobenius norm of this matrix.</summary>
@@ -1796,11 +1798,11 @@ namespace MathNet.Numerics.LinearAlgebra.Double
 
             // TODO: Replace with multiple Transpose
             //// aat.Gemm(1.0, 0.0, false, true, this, this);
-            
+
             var norm = 0.0;
             for (var i = 0; i < RowCount; i++)
             {
-                norm += Math.Abs(aat.At(i, i));
+                norm += AbsoluteT(aat.At(i, i));
             }
 
             norm = Math.Sqrt(norm);
@@ -1818,13 +1820,62 @@ namespace MathNet.Numerics.LinearAlgebra.Double
                 var s = 0.0;
                 for (var j = 0; j < ColumnCount; j++)
                 {
-                    s += Math.Abs(At(i, j));
+                    s += AbsoluteT(At(i, j));
                 }
-                
+
                 norm = Math.Max(norm, s);
             }
 
             return norm;
         }
+
+        #region Simple arithmetic of type T
+
+        /// <summary>
+        /// Add two values T+T
+        /// </summary>
+        /// <param name="val1">Left operand value</param>
+        /// <param name="val2">Right operand value</param>
+        /// <returns>Result of addition</returns>
+        protected abstract T AddT(T val1, T val2);
+
+        /// <summary>
+        /// Subtract two values T-T
+        /// </summary>
+        /// <param name="val1">Left operand value</param>
+        /// <param name="val2">Right operand value</param>
+        /// <returns>Result of subtract</returns>
+        protected abstract T SubtractT(T val1, T val2);
+
+        /// <summary>
+        /// Multiply two values T*T
+        /// </summary>
+        /// <param name="val1">Left operand value</param>
+        /// <param name="val2">Right operand value</param>
+        /// <returns>Result of multiplication</returns>
+        protected abstract T MultiplyT(T val1, T val2);
+
+        /// <summary>
+        /// Divide two values T/T
+        /// </summary>
+        /// <param name="val1">Left operand value</param>
+        /// <param name="val2">Right operand value</param>
+        /// <returns>Result of divide</returns>
+        protected abstract T DivideT(T val1, T val2);
+
+        /// <summary>
+        /// Is equal to one?
+        /// </summary>
+        /// <param name="val1">Value to check</param>
+        /// <returns>True if one; otherwise false</returns>
+        protected abstract bool IsOneT(T val1);
+
+        /// <summary>
+        /// Take absolute value
+        /// </summary>
+        /// <param name="val1">Source alue</param>
+        /// <returns>True if one; otherwise false</returns>
+        protected abstract double AbsoluteT(T val1);
+        #endregion
     }
 }

src/Numerics/LinearAlgebra/Double/Solvers/IIterativeSolver.cs → src/Numerics/LinearAlgebra/Generic/Solvers/IIterativeSolver.cs

@@ -28,15 +28,18 @@
 // OTHER DEALINGS IN THE SOFTWARE.
 // </copyright>
 
-namespace MathNet.Numerics.LinearAlgebra.Double.Solvers
+namespace MathNet.Numerics.LinearAlgebra.Generic.Solvers
 {
+    using System;
+    using System.Numerics;
     using Status;
 
     /// <summary>
-    /// Defines the interface for <see cref="IIterativeSolver" /> classes that solve the matrix equation Ax = b in
+    /// Defines the interface for <see cref="IIterativeSolver{T}"/> classes that solve the matrix equation Ax = b in
     /// an iterative manner.
     /// </summary>
-    public interface IIterativeSolver
+    /// <typeparam name="T">Supported data types are double, single, <see cref="Complex"/>, and <see cref="Complex32"/>.</typeparam>
+    public interface IIterativeSolver<T> where T : struct, IEquatable<T>, IFormattable
     {
         /// <summary>
         /// Stops the solve process. 
@@ -47,10 +50,10 @@ namespace MathNet.Numerics.LinearAlgebra.Double.Solvers
         void StopSolve();
 
         /// <summary>
-        /// Sets the <see cref="IIterator" /> that will be used to track the iterative process.
+        /// Sets the <see cref="IIterator{T}"/> that will be used to track the iterative process.
         /// </summary>
         /// <param name="iterator">The iterator.</param>
-        void SetIterator(IIterator iterator);
+        void SetIterator(IIterator<T> iterator);
 
         /// <summary>
         /// Gets the status of the iteration once the calculation is finished.
@@ -64,7 +67,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double.Solvers
         /// <param name="matrix">The coefficient matrix, <c>A</c>.</param>
         /// <param name="vector">The solution vector, <c>b</c>.</param>
         /// <returns>The result vector, <c>x</c>.</returns>
-        Vector Solve(Matrix matrix, Vector vector);
+        Vector<T> Solve(Matrix<T> matrix, Vector<T> vector);
 
         /// <summary>
         /// Solves the matrix equation Ax = b, where A is the coefficient matrix, b is the
@@ -73,7 +76,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double.Solvers
         /// <param name="matrix">The coefficient matrix, <c>A</c>.</param>
         /// <param name="input">The solution vector, <c>b</c></param>
         /// <param name="result">The result vector, <c>x</c></param>
-        void Solve(Matrix matrix, Vector input, Vector result);
+        void Solve(Matrix<T> matrix, Vector<T> input, Vector<T> result);
 
         /// <summary>
         /// Solves the matrix equation AX = B, where A is the coefficient matrix, B is the
@@ -82,7 +85,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double.Solvers
         /// <param name="matrix">The coefficient matrix, <c>A</c>.</param>
         /// <param name="input">The solution matrix, <c>B</c>.</param>
         /// <returns>The result matrix, <c>X</c>.</returns>
-        Matrix Solve(Matrix matrix, Matrix input);
+        Matrix<T> Solve(Matrix<T> matrix, Matrix<T> input);
 
         /// <summary>
         /// Solves the matrix equation AX = B, where A is the coefficient matrix, B is the
@@ -91,6 +94,6 @@ namespace MathNet.Numerics.LinearAlgebra.Double.Solvers
         /// <param name="matrix">The coefficient matrix, <c>A</c>.</param>
         /// <param name="input">The solution matrix, <c>B</c>.</param>
         /// <param name="result">The result matrix, <c>X</c></param>
-        void Solve(Matrix matrix, Matrix input, Matrix result);
+        void Solve(Matrix<T> matrix, Matrix<T> input, Matrix<T> result);
     }
 }

src/Numerics/LinearAlgebra/Double/Solvers/IIterativeSolverSetup.cs → src/Numerics/LinearAlgebra/Generic/Solvers/IIterativeSolverSetup.cs

@@ -28,16 +28,18 @@
 // OTHER DEALINGS IN THE SOFTWARE.
 // </copyright>
 
-namespace MathNet.Numerics.LinearAlgebra.Double.Solvers
+namespace MathNet.Numerics.LinearAlgebra.Generic.Solvers
 {
     using System;
+    using System.Numerics;
 
     /// <summary>
     /// Defines the interface for objects that can create an iterative solver with
     /// specific settings. This interface is used to pass iterative solver creation 
     /// setup information around.
     /// </summary>
-    public interface IIterativeSolverSetup
+    /// <typeparam name="T">Supported data types are double, single, <see cref="Complex"/>, and <see cref="Complex32"/>.</typeparam>
+    public interface IIterativeSolverSetup<T> where T : struct, IEquatable<T>, IFormattable
     {
         /// <summary>
         /// Gets the type of the solver that will be created by this setup object.
@@ -53,8 +55,8 @@ namespace MathNet.Numerics.LinearAlgebra.Double.Solvers
         /// Creates a fully functional iterative solver with the default settings
         /// given by this setup.
         /// </summary>
-        /// <returns>A new <see cref="IIterativeSolver"/>.</returns>
+        /// <returns>A new <see cref="IIterativeSolver{T}"/>.</returns>
-        IIterativeSolver CreateNew();
+        IIterativeSolver<T> CreateNew();
 
         /// <summary>
         /// Gets the relative speed of the solver. 

src/Numerics/LinearAlgebra/Double/Solvers/IIterator.cs → src/Numerics/LinearAlgebra/Generic/Solvers/IIterator.cs

@@ -28,41 +28,44 @@
 // OTHER DEALINGS IN THE SOFTWARE.
 // </copyright>
 
-namespace MathNet.Numerics.LinearAlgebra.Double.Solvers
+namespace MathNet.Numerics.LinearAlgebra.Generic.Solvers
 {
     using System;
+    using System.Numerics;
     using Status;
     using StopCriterium;
 
     /// <summary>
     /// Defines the base interface for iterators that help control an iterative calculation.
     /// </summary>
-    public interface IIterator
+    /// <typeparam name="T">Supported data types are double, single, <see cref="Complex"/>, and <see cref="Complex32"/>.</typeparam>
+    public interface IIterator<T>
 #if !SILVERLIGHT
     : ICloneable
 #endif
+    where T : struct, IEquatable<T>, IFormattable
     {
         /// <summary>
-        /// Adds an <see cref="IIterationStopCriterium"/> to the internal collection of stop-criteria. Only a 
+        /// Adds an <see cref="IIterationStopCriterium{T}"/> to the internal collection of stop-criteria. Only a 
         /// single stop criterium of each type can be stored.
         /// </summary>
         /// <param name="stopCriterium">The stop criterium to add.</param>
         /// <exception cref="ArgumentNullException">Thrown if <paramref name="stopCriterium"/> is <see langword="null" />.</exception>
         /// <exception cref="ArgumentException">Thrown if <paramref name="stopCriterium"/> is of the same type as an already stored criterium.</exception>
-        void Add(IIterationStopCriterium stopCriterium);
+        void Add(IIterationStopCriterium<T> stopCriterium);
 
         /// <summary>
-        /// Removes the <see cref="IIterationStopCriterium"/> from the internal collection.
+        /// Removes the <see cref="IIterationStopCriterium{T}"/> from the internal collection.
         /// </summary>
         /// <param name="stopCriterium">The stop criterium that must be removed.</param>
-        void Remove(IIterationStopCriterium stopCriterium);
+        void Remove(IIterationStopCriterium<T> stopCriterium);
 
         /// <summary>
-        /// Indicates if the specific stop criterium is stored by the <see cref="IIterator"/>.
+        /// Indicates if the specific stop criterium is stored by the <see cref="IIterator{T}"/>.
         /// </summary>
         /// <param name="stopCriterium">The stop criterium.</param>
-        /// <returns><c>true</c> if the <see cref="IIterator"/> contains the stop criterium; otherwise <c>false</c>.</returns>
+        /// <returns><c>true</c> if the <see cref="IIterator{T}"/> contains the stop criterium; otherwise <c>false</c>.</returns>
-        bool Contains(IIterationStopCriterium stopCriterium);
+        bool Contains(IIterationStopCriterium<T> stopCriterium);
 
         /// <summary>
         /// Indicates to the iterator that the iterative process has been cancelled.
@@ -72,7 +75,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double.Solvers
 
         /// <summary>
         /// Determines the status of the iterative calculation based on the stop criteria stored
-        /// by the current <see cref="IIterator"/>.  Status is set to <c>Status</c> field of current object.
+        /// by the current <see cref="IIterator{T}"/>.  Status is set to <c>Status</c> field of current object.
         /// </summary>
         /// <param name="iterationNumber">The number of iterations that have passed so far.</param>
         /// <param name="solutionVector">The vector containing the current solution values.</param>
@@ -83,7 +86,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double.Solvers
         /// on the invocation of this method. Therefore this method should only be called if the 
         /// calculation has moved forwards at least one step.
         /// </remarks>
-        void DetermineStatus(int iterationNumber, Vector solutionVector, Vector sourceVector, Vector residualVector);
+        void DetermineStatus(int iterationNumber, Vector<T> solutionVector, Vector<T> sourceVector, Vector<T> residualVector);
 
         /// <summary>
         /// Gets the current calculation status.
@@ -92,7 +95,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double.Solvers
         ICalculationStatus Status { get; }
 
         /// <summary>
-        /// Resets the <c>IIterator</c> to the pre-calculation state.
+        /// Resets the <see cref="IIterator{T}"/> to the pre-calculation state.
         /// </summary>
         /// <remarks>
         /// Note to implementers: Invoking this method should not clear the user defined
@@ -102,7 +105,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double.Solvers
         void ResetToPrecalculationState();
 
 #if SILVERLIGHT
-        IIterator Clone();
+        IIterator<double> Clone();
 #endif
     }
 }

src/Numerics/LinearAlgebra/Double/Solvers/Preconditioners/IPreConditioner.cs → src/Numerics/LinearAlgebra/Generic/Solvers/Preconditioners/IPreConditioner.cs

@@ -28,8 +28,11 @@
 // OTHER DEALINGS IN THE SOFTWARE.
 // </copyright>
 
-namespace MathNet.Numerics.LinearAlgebra.Double.Solvers.Preconditioners
+namespace MathNet.Numerics.LinearAlgebra.Generic.Solvers.Preconditioners
 {
+    using System;
+    using System.Numerics;
+
     /// <summary>
     /// The base interface for preconditioner classes.
     /// </summary>
@@ -48,26 +51,27 @@ namespace MathNet.Numerics.LinearAlgebra.Double.Solvers.Preconditioners
     /// if the changes occur after creating the preconditioner.
     /// </para>
     /// </remarks>
-    public interface IPreConditioner
+    /// <typeparam name="T">Supported data types are double, single, <see cref="Complex"/>, and <see cref="Complex32"/>.</typeparam>
+    public interface IPreConditioner<T> where T : struct, IEquatable<T>, IFormattable
     {
         /// <summary>
         /// Initializes the preconditioner and loads the internal data structures.
         /// </summary>
         /// <param name="matrix">The matrix on which the preconditioner is based.</param>
-        void Initialize(Matrix matrix);
+        void Initialize(Matrix<T> matrix);
 
         /// <summary>
         /// Approximates the solution to the matrix equation <b>Mx = b</b>.
         /// </summary>
         /// <param name="rhs">The right hand side vector.</param>
         /// <returns>The left hand side vector.</returns>
-        Vector Approximate(Vector rhs);
+        Vector<double> Approximate(Vector<T> rhs);
 
         /// <summary>
         /// Approximates the solution to the matrix equation <b>Mx = b</b>.
         /// </summary>
         /// <param name="rhs">The right hand side vector.</param>
         /// <param name="lhs">The left hand side vector. Also known as the result vector.</param>
-        void Approximate(Vector rhs, Vector lhs);
+        void Approximate(Vector<T> rhs, Vector<T> lhs);
     }
 }

src/Numerics/LinearAlgebra/Double/Solvers/Status/CalculationCancelled.cs → src/Numerics/LinearAlgebra/Generic/Solvers/Status/CalculationCancelled.cs

@@ -28,7 +28,7 @@
 // OTHER DEALINGS IN THE SOFTWARE.
 // </copyright>
 
-namespace MathNet.Numerics.LinearAlgebra.Double.Solvers.Status
+namespace MathNet.Numerics.LinearAlgebra.Generic.Solvers.Status
 {
     /// <summary>
     /// Indicates that a calculation was cancelled by the user.

src/Numerics/LinearAlgebra/Double/Solvers/Status/CalculationConverged.cs → src/Numerics/LinearAlgebra/Generic/Solvers/Status/CalculationConverged.cs

@@ -28,7 +28,7 @@
 // OTHER DEALINGS IN THE SOFTWARE.
 // </copyright>
 
-namespace MathNet.Numerics.LinearAlgebra.Double.Solvers.Status
+namespace MathNet.Numerics.LinearAlgebra.Generic.Solvers.Status
 {
     /// <summary>
     /// Indicates that a calculation has converged to the desired convergence levels.

src/Numerics/LinearAlgebra/Double/Solvers/Status/CalculationDiverged.cs → src/Numerics/LinearAlgebra/Generic/Solvers/Status/CalculationDiverged.cs

@@ -28,7 +28,7 @@
 // OTHER DEALINGS IN THE SOFTWARE.
 // </copyright>
 
-namespace MathNet.Numerics.LinearAlgebra.Double.Solvers.Status
+namespace MathNet.Numerics.LinearAlgebra.Generic.Solvers.Status
 {
     /// <summary>
     /// Indicates that the calculation diverged.

src/Numerics/LinearAlgebra/Double/Solvers/Status/CalculationFailure.cs → src/Numerics/LinearAlgebra/Generic/Solvers/Status/CalculationFailure.cs

@@ -28,7 +28,7 @@
 // OTHER DEALINGS IN THE SOFTWARE.
 // </copyright>
 
-namespace MathNet.Numerics.LinearAlgebra.Double.Solvers.Status
+namespace MathNet.Numerics.LinearAlgebra.Generic.Solvers.Status
 {
     /// <summary>
     /// Indicates that a calculation has failed for some reason.

src/Numerics/LinearAlgebra/Double/Solvers/Status/CalculationIndetermined.cs → src/Numerics/LinearAlgebra/Generic/Solvers/Status/CalculationIndetermined.cs

@@ -28,7 +28,7 @@
 // OTHER DEALINGS IN THE SOFTWARE.
 // </copyright>
 
-namespace MathNet.Numerics.LinearAlgebra.Double.Solvers.Status
+namespace MathNet.Numerics.LinearAlgebra.Generic.Solvers.Status
 {
     /// <summary>
     /// Indicates that the state of the calculation is indetermined, not started or stopped.

src/Numerics/LinearAlgebra/Double/Solvers/Status/CalculationRunning.cs → src/Numerics/LinearAlgebra/Generic/Solvers/Status/CalculationRunning.cs

@@ -28,7 +28,7 @@
 // OTHER DEALINGS IN THE SOFTWARE.
 // </copyright>
 
-namespace MathNet.Numerics.LinearAlgebra.Double.Solvers.Status
+namespace MathNet.Numerics.LinearAlgebra.Generic.Solvers.Status
 {
     /// <summary>
     /// Indicates that the calculation is running and no results are yet known.

src/Numerics/LinearAlgebra/Double/Solvers/Status/CalculationStoppedWithoutConvergence.cs → src/Numerics/LinearAlgebra/Generic/Solvers/Status/CalculationStoppedWithoutConvergence.cs

@@ -28,7 +28,7 @@
 // OTHER DEALINGS IN THE SOFTWARE.
 // </copyright>
 
-namespace MathNet.Numerics.LinearAlgebra.Double.Solvers.Status
+namespace MathNet.Numerics.LinearAlgebra.Generic.Solvers.Status
 {
     /// <summary>
     /// Indicates that the calculation has been stopped due to reaching the stopping

src/Numerics/LinearAlgebra/Double/Solvers/Status/ICalculationStatus.cs → src/Numerics/LinearAlgebra/Generic/Solvers/Status/ICalculationStatus.cs

@@ -28,7 +28,7 @@
 // OTHER DEALINGS IN THE SOFTWARE.
 // </copyright>
 
-namespace MathNet.Numerics.LinearAlgebra.Double.Solvers.Status
+namespace MathNet.Numerics.LinearAlgebra.Generic.Solvers.Status
 {
     /// <summary>
     /// Defines the base interface for calculation status objects.

src/Numerics/LinearAlgebra/Double/Solvers/StopCriterium/IIterationStopCriterium.cs → src/Numerics/LinearAlgebra/Generic/Solvers/StopCriterium/IIterationStopCriterium.cs

@@ -24,22 +24,25 @@
 // OTHER DEALINGS IN THE SOFTWARE.
 // </copyright>
 
-namespace MathNet.Numerics.LinearAlgebra.Double.Solvers.StopCriterium
+namespace MathNet.Numerics.LinearAlgebra.Generic.Solvers.StopCriterium
 {
     using System;
+    using System.Numerics;
     using Status;
 
     /// <summary>
     /// The base interface for classes that provide stop criteria for iterative calculations. 
     /// </summary>
-    public interface IIterationStopCriterium
+    /// <typeparam name="T">Supported data types are double, single, <see cref="Complex"/>, and <see cref="Complex32"/>.</typeparam>
+    public interface IIterationStopCriterium<T>
 #if !SILVERLIGHT
     : ICloneable
 #endif
+ where T : struct, IEquatable<T>, IFormattable
     {
         /// <summary>
         /// Determines the status of the iterative calculation based on the stop criteria stored
-        /// by the current <see cref="IIterationStopCriterium"/>. Status is set to <c>Status</c> field of current object.
+        /// by the current <see cref="IIterationStopCriterium{T}"/>. Status is set to <c>Status</c> field of current object.
         /// </summary>
         /// <param name="iterationNumber">The number of iterations that have passed so far.</param>
         /// <param name="solutionVector">The vector containing the current solution values.</param>
@@ -50,7 +53,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double.Solvers.StopCriterium
         /// on the invocation of this method. Therefore this method should only be called if the 
         /// calculation has moved forwards at least one step.
         /// </remarks>
-        void DetermineStatus(int iterationNumber, Vector solutionVector, Vector sourceVector, Vector residualVector);
+        void DetermineStatus(int iterationNumber, Vector<T> solutionVector, Vector<T> sourceVector, Vector<T> residualVector);
 
         /// <summary>
         /// Gets the current calculation status.
@@ -59,7 +62,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double.Solvers.StopCriterium
         ICalculationStatus Status { get; }
 
         /// <summary>
-        /// Resets the <see cref="IIterationStopCriterium"/> to the pre-calculation state.
+        /// Resets the <see cref="IIterationStopCriterium{T}"/> to the pre-calculation state.
         /// </summary>
         /// <remarks>To implementers: Invoking this method should not clear the user defined
         /// property values, only the state that is used to track the progress of the 
@@ -68,12 +71,12 @@ namespace MathNet.Numerics.LinearAlgebra.Double.Solvers.StopCriterium
 
         /// <summary>
         /// Gets the <see cref="StopLevel"/> which indicates what sort of stop criterium this
-        /// <see cref="IIterationStopCriterium"/> monitors.
+        /// <see cref="IIterationStopCriterium{T}"/> monitors.
         /// </summary>
         StopLevel StopLevel { get; }
 
 #if SILVERLIGHT
-        IIterationStopCriterium Clone();
+        IIterationStopCriterium<double> Clone();
 #endif
     }
 }

src/Numerics/LinearAlgebra/Double/Solvers/StopCriterium/StopLevel.cs → src/Numerics/LinearAlgebra/Generic/Solvers/StopCriterium/StopLevel.cs

@@ -24,10 +24,10 @@
 // OTHER DEALINGS IN THE SOFTWARE.
 // </copyright>
 
-namespace MathNet.Numerics.LinearAlgebra.Double.Solvers.StopCriterium
+namespace MathNet.Numerics.LinearAlgebra.Generic.Solvers.StopCriterium
 {
     /// <summary>
-    /// Indicates what an <c>IIterationStopCriterium</c> monitors for stop criteria. 
+    /// Indicates what an <see cref="IIterationStopCriterium{T}"/> monitors for stop criteria. 
     /// </summary>
     public enum StopLevel
     {

src/Numerics/LinearAlgebra/Double/Vector.cs → src/Numerics/LinearAlgebra/Generic/Vector.cs

@@ -24,29 +24,32 @@
 // OTHER DEALINGS IN THE SOFTWARE.
 // </copyright>
 
-namespace MathNet.Numerics.LinearAlgebra.Double
+namespace MathNet.Numerics.LinearAlgebra.Generic
 {
     using System;
     using System.Collections;
     using System.Collections.Generic;
+    using System.Numerics;
     using System.Text;
     using Distributions;
     using Properties;
     using Threading;
 
     /// <summary>
-    /// Defines the base class for <c>Vector</c> classes.
+    /// Defines the generic class for <c>Vector</c> classes.
     /// </summary>
+    /// <typeparam name="T">Supported data types are double, single, <see cref="Complex"/>, and <see cref="Complex32"/>.</typeparam>
     [Serializable]
-    public abstract class Vector :
+    public abstract class Vector<T> :
 #if SILVERLIGHT
-    IFormattable, IEnumerable<double>, IEquatable<Vector>
+    IFormattable, IEnumerable<T>, IEquatable<Vector<T>>
 #else
-        IFormattable, IEnumerable<double>, IEquatable<Vector>, ICloneable
+    IFormattable, IEnumerable<T>, IEquatable<Vector<T>>, ICloneable
 #endif
+    where T : struct, IEquatable<T>, IFormattable
     {
         /// <summary>
-        /// Initializes a new instance of the <see cref="Vector"/> class. 
+        /// Initializes a new instance of the Vector class. 
         /// Constructs a <strong>Vector</strong> with the given size.
         /// </summary>
         /// <param name="size">
@@ -79,7 +82,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double
         /// <returns>The value of the vector at the given <paramref name="index"/>.</returns> 
         /// <exception cref="IndexOutOfRangeException">If <paramref name="index"/> is negative or 
         /// greater than the size of the vector.</exception>
-        public abstract double this[int index]
+        public abstract T this[int index]
         {
             get;
             set;
@@ -98,7 +101,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double
         /// <returns>
         /// A matrix with the given dimensions.
         /// </returns>
-        public abstract Matrix CreateMatrix(int rows, int columns);
+        public abstract Matrix<T> CreateMatrix(int rows, int columns);
 
         /// <summary>
         /// Creates a <strong>Vector</strong> of the given size using the same storage type
@@ -110,7 +113,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double
         /// <returns>
         /// The new <c>Vector</c>.
         /// </returns>
-        public abstract Vector CreateVector(int size);
+        public abstract Vector<T> CreateVector(int size);
 
         #region Elementary operations
 
@@ -121,18 +124,15 @@ namespace MathNet.Numerics.LinearAlgebra.Double
         /// The scalar to add.
         /// </param>
         /// <returns>A copy of the vector with the scalar added.</returns>
-        public virtual Vector Add(double scalar)
+        public virtual Vector<T> Add(T scalar)
         {
-            if (scalar == 0.0)
+            if (scalar.Equals(default(T)))
             {
                 return Clone();
             }
 
             var copy = Clone();
-            CommonParallel.For(
+            Add(scalar, copy);
-                0, 
-                Count,
-                index => copy[index] += scalar);
             return copy;
         }
 
@@ -151,7 +151,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double
         /// <exception cref="ArgumentException">
         /// If this vector and <paramref name="result"/> are not the same size.
         /// </exception>
-        public virtual void Add(double scalar, Vector result)
+        public virtual void Add(T scalar, Vector<T> result)
         {
             if (result == null)
             {
@@ -171,7 +171,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double
             CommonParallel.For(
                 0,
                 Count,
-                index => result[index] += scalar);
+                index => result[index] = AddT(result[index], scalar));
         }
 
         /// <summary>
@@ -183,7 +183,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double
         /// <remarks>
         /// Added as an alternative to the unary addition operator.
         /// </remarks>
-        public virtual Vector Plus()
+        public virtual Vector<T> Plus()
         {
             return Clone();
         }
@@ -201,7 +201,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double
         /// <exception cref="ArgumentException">
         /// If this vector and <paramref name="other"/> are not the same size.
         /// </exception>
-        public virtual Vector Add(Vector other)
+        public virtual Vector<T> Add(Vector<T> other)
         {
             if (other == null)
             {
@@ -214,10 +214,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double
             }
 
             var copy = Clone();
-            CommonParallel.For(
+            Add(other, copy);
-                0, 
-                Count,
-                index => copy[index] += other[index]);
             return copy;
         }
 
@@ -242,7 +239,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double
         /// <exception cref="ArgumentException">
         /// If this vector and <paramref name="result"/> are not the same size.
         /// </exception>
-        public virtual void Add(Vector other, Vector result)
+        public virtual void Add(Vector<T> other, Vector<T> result)
         {
             if (result == null)
             {
@@ -264,7 +261,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double
                 CommonParallel.For(
                     0,
                     Count,
-                    index => result[index] = this[index] + other[index]);
+                    index => result[index] = AddT(this[index], other[index]));
             }
         }
 
@@ -275,18 +272,15 @@ namespace MathNet.Numerics.LinearAlgebra.Double
         /// The scalar to subtract.
         /// </param>
         /// <returns>A new vector containing the subtraction of this vector and the scalar.</returns>
-        public virtual Vector Subtract(double scalar)
+        public virtual Vector<T> Subtract(T scalar)
         {
-            if (scalar == 0.0)
+            if (scalar.Equals(default(T)))
             {
                 return Clone();
             }
 
             var copy = Clone();
-            CommonParallel.For(
+            Subtract(scalar, copy);
-                0, 
-                Count, 
-                index => copy[index] -= scalar);
             return copy;
         }
 
@@ -305,7 +299,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double
         /// <exception cref="ArgumentException">
         /// If this vector and <paramref name="result"/> are not the same size.
         /// </exception>
-        public virtual void Subtract(double scalar, Vector result)
+        public virtual void Subtract(T scalar, Vector<T> result)
         {
             if (result == null)
             {
@@ -325,7 +319,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double
             CommonParallel.For(
                 0,
                 Count,
-                index => result[index] -= scalar);
+                index => result[index] = SubtractT(result[index], scalar));
         }
 
         /// <summary>
@@ -337,10 +331,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double
         /// <remarks>
         /// Added as an alternative to the unary negation operator.
         /// </remarks>
-        public virtual Vector Negate()
+        public abstract Vector<T> Negate();
-        {
-            return this * -1;
-        }
 
         /// <summary>
         /// Subtracts another vector from this vector.
@@ -355,7 +346,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double
         /// <exception cref="ArgumentException">
         /// If this vector and <paramref name="other"/> are not the same size.
         /// </exception>
-        public virtual Vector Subtract(Vector other)
+        public virtual Vector<T> Subtract(Vector<T> other)
         {
             if (other == null)
             {
@@ -368,10 +359,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double
             }
 
             var copy = Clone();
-            CommonParallel.For(
+            Subtract(other, copy);
-                0, 
-                Count, 
-                index => copy[index] -= other[index]);
             return copy;
         }
 
@@ -396,7 +384,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double
         /// <exception cref="ArgumentException">
         /// If this vector and <paramref name="result"/> are not the same size.
         /// </exception>
-        public virtual void Subtract(Vector other, Vector result)
+        public virtual void Subtract(Vector<T> other, Vector<T> result)
         {
             if (result == null)
             {
@@ -419,7 +407,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double
                 CommonParallel.For(
                     0,
                     Count,
-                    index => result[index] = this[index] - other[index]);
+                    index => result[index] = SubtractT(this[index], other[index]));
             }
         }
 
@@ -430,18 +418,15 @@ namespace MathNet.Numerics.LinearAlgebra.Double
         /// The scalar to multiply.
         /// </param>
         /// <returns>A new vector that is the multiplication of the vector and the scalar.</returns>
-        public virtual Vector Multiply(double scalar)
+        public virtual Vector<T> Multiply(T scalar)
         {
-            if (scalar == 1.0)
+            if (IsOneT(scalar))
             {
                 return Clone();
             }
 
             var copy = Clone();
-            CommonParallel.For(
+            Multiply(scalar, copy);
-                0, 
-                Count,
-                index => copy[index] *= scalar);
             return copy;
         }
 
@@ -460,7 +445,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double
         /// <exception cref="ArgumentException">
         /// If this vector and <paramref name="result"/> are not the same size.
         /// </exception>
-        public virtual void Multiply(double scalar, Vector result)
+        public virtual void Multiply(T scalar, Vector<T> result)
         {
             if (result == null)
             {
@@ -480,7 +465,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double
             CommonParallel.For(
                 0,
                 Count,
-                index => result[index] *= scalar);
+                index => result[index] = MultiplyT(result[index], scalar));
         }
 
         /// <summary>
@@ -498,7 +483,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double
         /// <exception cref="ArgumentNullException">
         /// If <paramref name="other"/> is <see langword="null"/>.
         /// </exception>
-        public virtual double DotProduct(Vector other)
+        public virtual T DotProduct(Vector<T> other)
         {
             if (other == null)
             {
@@ -510,10 +495,10 @@ namespace MathNet.Numerics.LinearAlgebra.Double
                 throw new ArgumentException(Resources.ArgumentVectorsSameLength, "other");
             }
 
-            var dot = 0.0;
+            var dot = default(T);
             for (var i = 0; i < Count; i++)
             {
-                dot += this[i] * other[i];
+                dot = AddT(dot, MultiplyT(this[i], other[i]));
             }
 
             return dot;
@@ -526,14 +511,16 @@ namespace MathNet.Numerics.LinearAlgebra.Double
         /// The scalar to divide with.
         /// </param>
         /// <returns>A new vector that is the division of the vector and the scalar.</returns>
-        public virtual Vector Divide(double scalar)
+        public virtual Vector<T> Divide(T scalar)
         {
-            if (scalar == 1.0)
+            if (IsOneT(scalar))
             {
                 return Clone();
             }
 
-            return Multiply(1.0 / scalar);
+            var copy = Clone();
+            Divide(scalar, copy);
+            return copy;
         }
 
         /// <summary>
@@ -551,7 +538,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double
         /// <exception cref="ArgumentException">
         /// If this vector and <paramref name="result"/> are not the same size.
         /// </exception>
-        public virtual void Divide(double scalar, Vector result)
+        public virtual void Divide(T scalar, Vector<T> result)
         {
             if (result == null)
             {
@@ -567,11 +554,11 @@ namespace MathNet.Numerics.LinearAlgebra.Double
             {
                 CopyTo(result);
             }
-
+            
             CommonParallel.For(
                 0,
                 Count,
-                index => result[index] /= scalar);
+                index => result[index] = DivideT(result[index], scalar));
         }
 
         /// <summary>
@@ -581,7 +568,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double
         /// <returns>A new vector which is the pointwise multiplication of the two vectors.</returns>
         /// <exception cref="ArgumentNullException">If the other vector is <see langword="null" />.</exception> 
         /// <exception cref="ArgumentException">If this vector and <paramref name="other"/> are not the same size.</exception>
-        public virtual Vector PointwiseMultiply(Vector other)
+        public virtual Vector<T> PointwiseMultiply(Vector<T> other)
         {
             if (other == null)
             {
@@ -594,10 +581,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double
             }
 
             var copy = Clone();
-            CommonParallel.For(
+            PointwiseMultiply(other, copy);
-                0, 
-                Count,
-                index => copy[index] *= other[index]);
             return copy;
         }
 
@@ -610,7 +594,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double
         /// <exception cref="ArgumentNullException">If the result vector is <see langword="null" />.</exception> 
         /// <exception cref="ArgumentException">If this vector and <paramref name="other"/> are not the same size.</exception>
         /// <exception cref="ArgumentException">If this vector and <paramref name="result"/> are not the same size.</exception>
-        public virtual void PointwiseMultiply(Vector other, Vector result)
+        public virtual void PointwiseMultiply(Vector<T> other, Vector<T> result)
         {
             if (result == null)
             {
@@ -642,7 +626,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double
                 CommonParallel.For(
                     0,
                     Count,
-                    index => result[index] = this[index] * other[index]);
+                    index => result[index] = MultiplyT(this[index], other[index]));
             }
         }
 
@@ -653,7 +637,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double
         /// <returns>A new vector which is the pointwise division of the two vectors.</returns>
         /// <exception cref="ArgumentNullException">If the other vector is <see langword="null" />.</exception> 
         /// <exception cref="ArgumentException">If this vector and <paramref name="other"/> are not the same size.</exception>
-        public virtual Vector PointwiseDivide(Vector other)
+        public virtual Vector<T> PointwiseDivide(Vector<T> other)
         {
             if (other == null)
             {
@@ -666,10 +650,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double
             }
 
             var copy = Clone();
-            CommonParallel.For(
+            PointwiseDivide(other, copy);
-                0, 
-                Count, 
-                index => copy[index] /= other[index]);
             return copy;
         }
 
@@ -682,7 +663,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double
         /// <exception cref="ArgumentNullException">If the result vector is <see langword="null" />.</exception> 
         /// <exception cref="ArgumentException">If this vector and <paramref name="other"/> are not the same size.</exception>
         /// <exception cref="ArgumentException">If this vector and <paramref name="result"/> are not the same size.</exception>
-        public virtual void PointwiseDivide(Vector other, Vector result)
+        public virtual void PointwiseDivide(Vector<T> other, Vector<T> result)
         {
             if (result == null)
             {
@@ -714,7 +695,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double
                 CommonParallel.For(
                     0,
                     Count,
-                    index => result[index] = this[index] / other[index]);
+                    index => result[index] = DivideT(this[index], other[index]));
             }
         }
 
@@ -726,7 +707,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double
         /// <returns>Matrix M[i,j] = u[i]*v[j] </returns>
         /// <exception cref="ArgumentNullException">If the u vector is <see langword="null" />.</exception> 
         /// <exception cref="ArgumentNullException">If the v vector is <see langword="null" />.</exception> 
-        public static DenseMatrix OuterProduct(Vector u, Vector v)
+        public static Matrix<T> OuterProduct(Vector<T> u, Vector<T> v)
         {
             if (u == null)
             {
@@ -738,17 +719,11 @@ namespace MathNet.Numerics.LinearAlgebra.Double
                 throw new ArgumentNullException("v");
             }
 
-            var matrix = new DenseMatrix(u.Count, v.Count);
+            var matrix = u.CreateMatrix(u.Count, v.Count);
             CommonParallel.For(
-                0, 
+                0,
-                u.Count, 
+                u.Count,
-                i =>
+                i => matrix.SetRow(i, v.Multiply(u[i])));
-                {
-                    for (var j = 0; j < v.Count; j++)
-                    {
-                        matrix.At(i, j, u[i] * v[j]);
-                    }
-                });
             return matrix;
         }
 
@@ -762,21 +737,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double
         /// to the specified random distribution.
         /// </returns>
         /// <exception cref="ArgumentException">If the n vector is non-positive.</exception> 
-        public virtual Vector Random(int length, IContinuousDistribution randomDistribution)
+        public abstract Vector<T> Random(int length, IContinuousDistribution randomDistribution);
-        {
-            if (length < 1)
-            {
-                throw new ArgumentException(Resources.ArgumentMustBePositive, "length");
-            }
-
-            var v = CreateVector(length);
-            for (var index = 0; index < v.Count; index++)
-            {
-                v[index] = randomDistribution.Sample();
-            }
-
-            return v;
-        }
 
         /// <summary>
         /// Generates a vector with random elements
@@ -788,21 +749,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double
         /// to the specified random distribution.
         /// </returns>
         /// <exception cref="ArgumentException">If the n vector is not positive.</exception> 
-        public virtual Vector Random(int length, IDiscreteDistribution randomDistribution)
+        public abstract Vector<T> Random(int length, IDiscreteDistribution randomDistribution);
-        {
-            if (length < 1)
-            {
-                throw new ArgumentException(Resources.ArgumentMustBePositive, "length");
-            }
-
-            var v = CreateVector(length);
-            for (var index = 0; index < v.Count; index++)
-            {
-                v[index] = randomDistribution.Sample();
-            }
-
-            return v;
-        }
 
         /// <summary>
         /// Tensor Product (Dyadic) of this and another vector.
@@ -812,7 +759,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double
         /// Matrix M[i,j] = this[i] * v[j].
         /// </returns>
         /// <seealso cref="OuterProduct"/>
-        public Matrix TensorMultiply(Vector v)
+        public Matrix<T> TensorMultiply(Vector<T> v)
         {
             return OuterProduct(this, v);
         }
@@ -823,7 +770,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double
         /// <returns>The value of the absolute minimum element.</returns>
         public virtual double AbsoluteMinimum()
         {
-            return Math.Abs(this[AbsoluteMinimumIndex()]);
+            return AbsoluteT(this[AbsoluteMinimumIndex()]);
         }
 
         /// <summary>
@@ -833,10 +780,10 @@ namespace MathNet.Numerics.LinearAlgebra.Double
         public virtual int AbsoluteMinimumIndex()
         {
             var index = 0;
-            var min = Math.Abs(this[index]);
+            var min = AbsoluteT(this[index]);
             for (var i = 1; i < Count; i++)
             {
-                var test = Math.Abs(this[i]);
+                var test = AbsoluteT(this[i]);
                 if (test < min)
                 {
                     index = i;
@@ -846,14 +793,14 @@ namespace MathNet.Numerics.LinearAlgebra.Double
 
             return index;
         }
-
+        
         /// <summary>
         /// Returns the value of the absolute maximum element.
         /// </summary>
         /// <returns>The value of the absolute maximum element.</returns>
         public virtual double AbsoluteMaximum()
         {
-            return Math.Abs(this[AbsoluteMaximumIndex()]);
+            return AbsoluteT(this[AbsoluteMaximumIndex()]);
         }
 
         /// <summary>
@@ -863,10 +810,10 @@ namespace MathNet.Numerics.LinearAlgebra.Double
         public virtual int AbsoluteMaximumIndex()
         {
             var index = 0;
-            var max = Math.Abs(this[index]);
+            var max = AbsoluteT(this[index]);
             for (var i = 1; i < Count; i++)
             {
-                var test = Math.Abs(this[i]);
+                var test = AbsoluteT(this[i]);
                 if (test > max)
                 {
                     index = i;
@@ -881,7 +828,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double
         /// Returns the value of maximum element.
         /// </summary>
         /// <returns>The value of maximum element.</returns>        
-        public virtual double Maximum()
+        public virtual T Maximum()
         {
             return this[MaximumIndex()];
         }
@@ -890,27 +837,13 @@ namespace MathNet.Numerics.LinearAlgebra.Double
         /// Returns the index of the absolute maximum element.
         /// </summary>
         /// <returns>The index of absolute maximum element.</returns>          
-        public virtual int MaximumIndex()
+        public abstract int MaximumIndex();
-        {
-            var index = 0;
-            var max = this[0];
-            for (var i = 1; i < Count; i++)
-            {
-                if (max < this[i])
-                {
-                    index = i;
-                    max = this[i];
-                }
-            }
-
-            return index;
-        }
 
         /// <summary>
         /// Returns the value of the minimum element.
         /// </summary>
         /// <returns>The value of the minimum element.</returns>
-        public virtual double Minimum()
+        public virtual T Minimum()
         {
             return this[MinimumIndex()];
         }
@@ -919,32 +852,18 @@ namespace MathNet.Numerics.LinearAlgebra.Double
         /// Returns the index of the minimum element.
         /// </summary>
         /// <returns>The index of minimum element.</returns>  
-        public virtual int MinimumIndex()
+        public abstract int MinimumIndex();
-        {
-            var index = 0;
-            var min = this[0];
-            for (var i = 1; i < Count; i++)
-            {
-                if (min > this[i])
-                {
-                    index = i;
-                    min = this[i];
-                }
-            }
-
-            return index;
-        }
 
         /// <summary>
         /// Computes the sum of the vector's elements.
         /// </summary>
         /// <returns>The sum of the vector's elements.</returns>
-        public virtual double Sum()
+        public virtual T Sum()
         {
-            double result = 0;
+            var result = default(T);
             for (var i = 0; i < Count; i++)
             {
-                result += this[i];
+                result = AddT(result, this[i]);
             }
 
             return result;
@@ -959,7 +878,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double
             double result = 0;
             for (var i = 0; i < Count; i++)
             {
-                result += Math.Abs(this[i]);
+                result += AbsoluteT(this[i]);
             }
 
             return result;
@@ -976,7 +895,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double
         /// <param name="rightSide">The vector to get the values from.</param>
         /// <returns>A vector containing the same values as <paramref name="rightSide"/>.</returns>
         /// <exception cref="ArgumentNullException">If <paramref name="rightSide"/> is <see langword="null" />.</exception>
-        public static Vector operator +(Vector rightSide)
+        public static Vector<T> operator +(Vector<T> rightSide)
         {
             if (rightSide == null)
             {
@@ -994,7 +913,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double
         /// <returns>The result of the addition.</returns>
         /// <exception cref="ArgumentException">If <paramref name="leftSide"/> and <paramref name="rightSide"/> are not the same size.</exception>
         /// <exception cref="ArgumentNullException">If <paramref name="leftSide"/> or <paramref name="rightSide"/> is <see langword="null" />.</exception>
-        public static Vector operator +(Vector leftSide, Vector rightSide)
+        public static Vector<T> operator +(Vector<T> leftSide, Vector<T> rightSide)
         {
             if (rightSide == null)
             {
@@ -1020,7 +939,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double
         /// <param name="rightSide">The vector to get the values from.</param>
         /// <returns>A vector containing the negated values as <paramref name="rightSide"/>.</returns>
         /// <exception cref="ArgumentNullException">If <paramref name="rightSide"/> is <see langword="null" />.</exception>
-        public static Vector operator -(Vector rightSide)
+        public static Vector<T> operator -(Vector<T> rightSide)
         {
             if (rightSide == null)
             {
@@ -1038,7 +957,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double
         /// <returns>The result of the subtraction.</returns>
         /// <exception cref="ArgumentException">If <paramref name="leftSide"/> and <paramref name="rightSide"/> are not the same size.</exception>
         /// <exception cref="ArgumentNullException">If <paramref name="leftSide"/> or <paramref name="rightSide"/> is <see langword="null" />.</exception>
-        public static Vector operator -(Vector leftSide, Vector rightSide)
+        public static Vector<T> operator -(Vector<T> leftSide, Vector<T> rightSide)
         {
             if (rightSide == null)
             {
@@ -1065,7 +984,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double
         /// <param name="rightSide">The scalar value.</param>
         /// <returns>The result of the multiplication.</returns>
         /// <exception cref="ArgumentNullException">If <paramref name="leftSide"/> is <see langword="null" />.</exception>
-        public static Vector operator *(Vector leftSide, double rightSide)
+        public static Vector<T> operator *(Vector<T> leftSide, T rightSide)
         {
             if (leftSide == null)
             {
@@ -1082,7 +1001,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double
         /// <param name="rightSide">The vector to scale.</param>
         /// <returns>The result of the multiplication.</returns>
         /// <exception cref="ArgumentNullException">If <paramref name="rightSide"/> is <see langword="null" />.</exception>
-        public static Vector operator *(double leftSide, Vector rightSide)
+        public static Vector<T> operator *(T leftSide, Vector<T> rightSide)
         {
             if (rightSide == null)
             {
@@ -1100,7 +1019,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double
         /// <returns>The dot product between the two vectors.</returns>
         /// <exception cref="ArgumentException">If <paramref name="leftSide"/> and <paramref name="rightSide"/> are not the same size.</exception>
         /// <exception cref="ArgumentNullException">If <paramref name="leftSide"/> or <paramref name="rightSide"/> is <see langword="null" />.</exception>
-        public static double operator *(Vector leftSide, Vector rightSide)
+        public static T operator *(Vector<T> leftSide, Vector<T> rightSide)
         {
             if (rightSide == null)
             {
@@ -1127,14 +1046,14 @@ namespace MathNet.Numerics.LinearAlgebra.Double
         /// <param name="rightSide">The scalar value.</param>
         /// <returns>The result of the division.</returns>
         /// <exception cref="ArgumentNullException">If <paramref name="leftSide"/> is <see langword="null" />.</exception>
-        public static Vector operator /(Vector leftSide, double rightSide)
+        public static Vector<T> operator /(Vector<T> leftSide, T rightSide)
         {
             if (leftSide == null)
             {
                 throw new ArgumentNullException("leftSide");
             }
 
-            return leftSide.Multiply(1.0 / rightSide);
+            return leftSide.Divide(rightSide);
         }
 
         #endregion
@@ -1162,14 +1081,14 @@ namespace MathNet.Numerics.LinearAlgebra.Double
                 return CommonParallel.Select(
                     0,
                     Count,
-                    (index, localData) => Math.Max(localData, Math.Abs(this[index])),
+                    (index, localData) => Math.Max(localData, AbsoluteT(this[index])),
                     Math.Max);
             }
 
             var sum = CommonParallel.Aggregate(
                 0,
                 Count,
-                index => Math.Pow(Math.Abs(this[index]), p));
+                index => Math.Pow(AbsoluteT(this[index]), p));
 
             return Math.Pow(sum, 1.0 / p);
         }
@@ -1183,24 +1102,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double
         /// <returns>
         /// This vector normalized to a unit vector with respect to the p-norm.
         /// </returns>
-        public virtual Vector Normalize(double p)
+        public abstract Vector<T> Normalize(double p);
-        {
-            if (p < 0.0)
-            {
-                throw new ArgumentOutOfRangeException("p");
-            }
-
-            var norm = Norm(p);
-            var clone = Clone();
-            if (norm == 0.0)
-            {
-                return clone;
-            }
-
-            clone.Multiply(1.0 / norm, clone);
-
-            return clone;
-        }
 
         #endregion
 
@@ -1212,7 +1114,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double
         /// <returns>
         /// A deep-copy clone of the vector.
         /// </returns>
-        public Vector Clone()
+        public Vector<T> Clone()
         {
             var retrunVector = CreateVector(Count);
             CopyTo(retrunVector);
@@ -1231,7 +1133,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double
         /// <exception cref="ArgumentException">
         /// If <paramref name="target"/> is not the same size as this vector.
         /// </exception>
-        public virtual void CopyTo(Vector target)
+        public virtual void CopyTo(Vector<T> target)
         {
             if (target == null)
             {
@@ -1269,7 +1171,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double
         /// <param name="count">
         /// The number of elements to copy.
         /// </param>
-        public virtual void CopyTo(Vector destination, int offset, int destinationOffset, int count)
+        public virtual void CopyTo(Vector<T> destination, int offset, int destinationOffset, int count)
         {
             if (destination == null)
             {
@@ -1321,9 +1223,9 @@ namespace MathNet.Numerics.LinearAlgebra.Double
         /// <returns>
         /// The vector's data as an array.
         /// </returns>
-        public virtual double[] ToArray()
+        public virtual T[] ToArray()
         {
-            var ret = new double[Count];
+            var ret = new T[Count];
             for (var i = 0; i < ret.Length; i++)
             {
                 ret[i] = this[i];
@@ -1338,7 +1240,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double
         /// <returns>
         /// This vector as a column matrix.
         /// </returns>
-        public virtual Matrix ToColumnMatrix()
+        public virtual Matrix<T> ToColumnMatrix()
         {
             var matrix = CreateMatrix(Count, 1);
             for (var i = 0; i < Count; i++)
@@ -1355,7 +1257,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double
         /// <returns>
         /// This vector as a row matrix.
         /// </returns>
-        public virtual Matrix ToRowMatrix()
+        public virtual Matrix<T> ToRowMatrix()
         {
             var matrix = CreateMatrix(1, Count);
             for (var i = 0; i < Count; i++)
@@ -1377,7 +1279,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double
         /// <item>If <paramref name="index"/> + <paramref name="length"/> is greater than or equal to the size of the vector.</item>
         /// </list></exception>
         /// <exception cref="ArgumentException">If <paramref name="length"/> is not positive.</exception>
-        public virtual Vector SubVector(int index, int length)
+        public virtual Vector<T> SubVector(int index, int length)
         {
             if (index < 0 || index >= Count)
             {
@@ -1409,7 +1311,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double
         /// <param name="values">The array containing the values to use.</param>
         /// <exception cref="ArgumentNullException">If <paramref name="values"/> is <see langword="null" />.</exception>
         /// <exception cref="ArgumentException">If <paramref name="values"/> is not the same size as this vector.</exception>
-        public virtual void SetValues(double[] values)
+        public virtual void SetValues(T[] values)
         {
             if (values == null)
             {
@@ -1465,7 +1367,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double
 
         #endregion
 
-        #region IEnumerable<double>
+        #region IEnumerable<T>
 
         /// <summary>
         /// Returns an enumerator that iterates through the collection.
@@ -1473,7 +1375,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double
         /// <returns>
         /// A <see cref="T:System.Collections.Generic.IEnumerator`1"/> that can be used to iterate through the collection.
         /// </returns>
-        public virtual IEnumerator<double> GetEnumerator()
+        public virtual IEnumerator<T> GetEnumerator()
         {
             for (var index = 0; index < Count; index++)
             {
@@ -1497,11 +1399,11 @@ namespace MathNet.Numerics.LinearAlgebra.Double
         /// being the value of the element at that index. For sparse vectors, the enumerator will exclude all elements
         /// with a zero value.
         /// </remarks>
-        public virtual IEnumerable<KeyValuePair<int, double>> GetIndexedEnumerator()
+        public virtual IEnumerable<KeyValuePair<int, T>> GetIndexedEnumerator()
         {
             for (var i = 0; i < Count; i++)
             {
-                yield return new KeyValuePair<int, double>(i, this[i]);
+                yield return new KeyValuePair<int, T>(i, this[i]);
             }
         }
 
@@ -1516,7 +1418,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double
         /// <returns>
         /// <c>true</c> if the current object is equal to the <paramref name="other"/> parameter; otherwise, <c>false</c>.
         /// </returns>
-        public bool Equals(Vector other)
+        public virtual bool Equals(Vector<T> other)
         {
             // Reject equality when the argument is null or has a different length.
             if (other == null)
@@ -1538,7 +1440,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double
             // If all else fails, perform element wise comparison.
             for (var index = 0; index < Count; index++)
             {
-                if (!this[index].AlmostEqual(other[index]))
+                if (!this[index].Equals(other[index]))
                 {
                     return false;
                 }
@@ -1577,7 +1479,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double
         /// <returns>
         /// A <see cref="System.String"/> that represents this instance.
         /// </returns>
-        public string ToString(string format, IFormatProvider formatProvider)
+        public virtual string ToString(string format, IFormatProvider formatProvider)
         {
             var stringBuilder = new StringBuilder();
             for (var index = 0; index < Count; index++)
@@ -1591,7 +1493,6 @@ namespace MathNet.Numerics.LinearAlgebra.Double
 
             return stringBuilder.ToString();
         }
-
         #endregion
 
         #endregion
@@ -1609,7 +1510,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double
         /// </returns>
         public override bool Equals(object obj)
         {
-            return Equals(obj as Vector);
+            return Equals(obj as Vector<T>);
         }
 
         /// <summary>
@@ -1625,9 +1526,9 @@ namespace MathNet.Numerics.LinearAlgebra.Double
             for (var i = 0; i < hashNum; i++)
             {
 #if SILVERLIGHT
-                hash ^= Precision.DoubleToInt64Bits(this[i]);
+                hash ^= Precision.DoubleToInt64Bits(AbsoluteT(this[i]));
 #else
-                hash ^= BitConverter.DoubleToInt64Bits(this[i]);
+                hash ^= BitConverter.DoubleToInt64Bits(this[i].GetHashCode());
 #endif
             }
 
@@ -1652,7 +1553,56 @@ namespace MathNet.Numerics.LinearAlgebra.Double
         /// </summary>
         public virtual void Clear()
         {
-            CommonParallel.For(0, Count, index => this[index] = 0);
+            CommonParallel.For(0, Count, index => this[index] = default(T));
         }
+
+        #region Simple arithmetic of type T
+
+        /// <summary>
+        /// Add two values T+T
+        /// </summary>
+        /// <param name="val1">Left operand value</param>
+        /// <param name="val2">Right operand value</param>
+        /// <returns>Result of addition</returns>
+        protected abstract T AddT(T val1, T val2);
+
+        /// <summary>
+        /// Subtract two values T-T
+        /// </summary>
+        /// <param name="val1">Left operand value</param>
+        /// <param name="val2">Right operand value</param>
+        /// <returns>Result of subtract</returns>
+        protected abstract T SubtractT(T val1, T val2);
+
+        /// <summary>
+        /// Multiply two values T*T
+        /// </summary>
+        /// <param name="val1">Left operand value</param>
+        /// <param name="val2">Right operand value</param>
+        /// <returns>Result of multiplication</returns>
+        protected abstract T MultiplyT(T val1, T val2);
+
+        /// <summary>
+        /// Divide two values T/T
+        /// </summary>
+        /// <param name="val1">Left operand value</param>
+        /// <param name="val2">Right operand value</param>
+        /// <returns>Result of divide</returns>
+        protected abstract T DivideT(T val1, T val2);
+
+        /// <summary>
+        /// Is equal to one?
+        /// </summary>
+        /// <param name="val1">Value to check</param>
+        /// <returns>True if one; otherwise false</returns>
+        protected abstract bool IsOneT(T val1);
+
+        /// <summary>
+        /// Take absolute value
+        /// </summary>
+        /// <param name="val1">Source alue</param>
+        /// <returns>True if one; otherwise false</returns>
+        protected abstract double AbsoluteT(T val1);
+        #endregion
     }
 }

src/Numerics/Numerics.csproj

@@ -110,20 +110,20 @@
     <Compile Include="LinearAlgebra\Double\DenseMatrix.cs" />
     <Compile Include="LinearAlgebra\Double\DenseVector.cs" />
     <Compile Include="LinearAlgebra\Double\DiagonalMatrix.cs" />
-    <Compile Include="LinearAlgebra\Double\Factorization\Cholesky.cs" />
+    <Compile Include="LinearAlgebra\Generic\Factorization\Cholesky.cs" />
     <Compile Include="LinearAlgebra\Double\Factorization\DenseCholesky.cs" />
     <Compile Include="LinearAlgebra\Double\Factorization\DenseLU.cs" />
     <Compile Include="LinearAlgebra\Double\Factorization\DenseQR.cs" />
     <Compile Include="LinearAlgebra\Double\Factorization\DenseSvd.cs" />
     <Compile Include="LinearAlgebra\Double\Factorization\ExtensionMethods.cs" />
     <Compile Include="LinearAlgebra\Double\Factorization\GramSchmidt.cs" />
-    <Compile Include="LinearAlgebra\Double\Factorization\LU.cs" />
+    <Compile Include="LinearAlgebra\Generic\Factorization\LU.cs" />
-    <Compile Include="LinearAlgebra\Double\Factorization\QR.cs" />
+    <Compile Include="LinearAlgebra\Generic\Factorization\QR.cs" />
     <Compile Include="LinearAlgebra\Double\Factorization\SparseCholesky.cs" />
     <Compile Include="LinearAlgebra\Double\Factorization\SparseLU.cs" />
     <Compile Include="LinearAlgebra\Double\Factorization\SparseQR.cs" />
     <Compile Include="LinearAlgebra\Double\Factorization\SparseSvd.cs" />
-    <Compile Include="LinearAlgebra\Double\Factorization\Svd.cs" />
+    <Compile Include="LinearAlgebra\Generic\Factorization\Svd.cs" />
     <Compile Include="LinearAlgebra\Double\Factorization\UserCholesky.cs" />
     <Compile Include="LinearAlgebra\Double\Factorization\UserLU.cs" />
     <Compile Include="LinearAlgebra\Double\Factorization\UserQR.cs" />
@@ -135,12 +135,10 @@
     <Compile Include="LinearAlgebra\Double\IO\Matlab\MatlabParser.cs" />
     <Compile Include="LinearAlgebra\Double\IO\MatrixReader.cs" />
     <Compile Include="LinearAlgebra\Double\IO\MatrixWriter.cs" />
-    <Compile Include="LinearAlgebra\Double\ISolver.cs" />
+    <Compile Include="LinearAlgebra\Generic\ISolver.cs" />
-    <Compile Include="LinearAlgebra\Double\Matrix.Arithmetic.cs" />
+    <Compile Include="LinearAlgebra\Generic\Solvers\IIterativeSolver.cs" />
-    <Compile Include="LinearAlgebra\Double\Matrix.cs" />
+    <Compile Include="LinearAlgebra\Generic\Solvers\IIterativeSolverSetup.cs" />
-    <Compile Include="LinearAlgebra\Double\Solvers\IIterativeSolver.cs" />
+    <Compile Include="LinearAlgebra\Generic\Solvers\IIterator.cs" />
-    <Compile Include="LinearAlgebra\Double\Solvers\IIterativeSolverSetup.cs" />
-    <Compile Include="LinearAlgebra\Double\Solvers\IIterator.cs" />
     <Compile Include="LinearAlgebra\Double\Solvers\Iterative\BiCgStab.cs" />
     <Compile Include="LinearAlgebra\Double\Solvers\Iterative\CompositeSolver.cs" />
     <Compile Include="LinearAlgebra\Double\Solvers\Iterative\GpBiCg.cs" />
@@ -153,25 +151,27 @@
     <Compile Include="LinearAlgebra\Double\Solvers\Preconditioners\IncompleteLU.cs">
       <SubType>Code</SubType>
     </Compile>
-    <Compile Include="LinearAlgebra\Double\Solvers\Preconditioners\IPreConditioner.cs" />
+    <Compile Include="LinearAlgebra\Generic\Solvers\Preconditioners\IPreConditioner.cs" />
     <Compile Include="LinearAlgebra\Double\Solvers\Preconditioners\UnitPreconditioner.cs" />
-    <Compile Include="LinearAlgebra\Double\Solvers\Status\CalculationCancelled.cs" />
+    <Compile Include="LinearAlgebra\Generic\Solvers\Status\CalculationCancelled.cs" />
-    <Compile Include="LinearAlgebra\Double\Solvers\Status\CalculationConverged.cs" />
+    <Compile Include="LinearAlgebra\Generic\Solvers\Status\CalculationConverged.cs" />
-    <Compile Include="LinearAlgebra\Double\Solvers\Status\CalculationDiverged.cs" />
+    <Compile Include="LinearAlgebra\Generic\Solvers\Status\CalculationDiverged.cs" />
-    <Compile Include="LinearAlgebra\Double\Solvers\Status\CalculationFailure.cs" />
+    <Compile Include="LinearAlgebra\Generic\Solvers\Status\CalculationFailure.cs" />
-    <Compile Include="LinearAlgebra\Double\Solvers\Status\CalculationIndetermined.cs" />
+    <Compile Include="LinearAlgebra\Generic\Solvers\Status\CalculationIndetermined.cs" />
-    <Compile Include="LinearAlgebra\Double\Solvers\Status\CalculationRunning.cs" />
+    <Compile Include="LinearAlgebra\Generic\Solvers\Status\CalculationRunning.cs" />
-    <Compile Include="LinearAlgebra\Double\Solvers\Status\CalculationStoppedWithoutConvergence.cs" />
+    <Compile Include="LinearAlgebra\Generic\Solvers\Status\CalculationStoppedWithoutConvergence.cs" />
-    <Compile Include="LinearAlgebra\Double\Solvers\Status\ICalculationStatus.cs" />
+    <Compile Include="LinearAlgebra\Generic\Solvers\Status\ICalculationStatus.cs" />
     <Compile Include="LinearAlgebra\Double\Solvers\StopCriterium\DivergenceStopCriterium.cs" />
     <Compile Include="LinearAlgebra\Double\Solvers\StopCriterium\FailureStopCriterium.cs" />
-    <Compile Include="LinearAlgebra\Double\Solvers\StopCriterium\IIterationStopCriterium.cs" />
+    <Compile Include="LinearAlgebra\Generic\Solvers\StopCriterium\IIterationStopCriterium.cs" />
     <Compile Include="LinearAlgebra\Double\Solvers\StopCriterium\IterationCountStopCriterium.cs" />
     <Compile Include="LinearAlgebra\Double\Solvers\StopCriterium\ResidualStopCriterium.cs" />
-    <Compile Include="LinearAlgebra\Double\Solvers\StopCriterium\StopLevel.cs" />
+    <Compile Include="LinearAlgebra\Generic\Solvers\StopCriterium\StopLevel.cs" />
     <Compile Include="LinearAlgebra\Double\SparseMatrix.cs" />
     <Compile Include="LinearAlgebra\Double\SparseVector.cs" />
-    <Compile Include="LinearAlgebra\Double\Vector.cs" />
+    <Compile Include="LinearAlgebra\Generic\Matrix.Arithmetic.cs" />
+    <Compile Include="LinearAlgebra\Generic\Matrix.cs" />
+    <Compile Include="LinearAlgebra\Generic\Vector.cs" />
     <Compile Include="Permutation.cs" />
     <Compile Include="Distributions\Continuous\Beta.cs" />
     <Compile Include="Distributions\Continuous\ContinuousUniform.cs" />

src/Silverlight/Silverlight.csproj

@@ -224,9 +224,6 @@
     <Compile Include="..\Numerics\LinearAlgebra\Double\DiagonalMatrix.cs">
       <Link>LinearAlgebra\Double\DiagonalMatrix.cs</Link>
     </Compile>
-    <Compile Include="..\Numerics\LinearAlgebra\Double\Factorization\Cholesky.cs">
-      <Link>LinearAlgebra\Double\Factorization\Cholesky.cs</Link>
-    </Compile>
     <Compile Include="..\Numerics\LinearAlgebra\Double\Factorization\DenseCholesky.cs">
       <Link>LinearAlgebra\Double\Factorization\DenseCholesky.cs</Link>
     </Compile>
@@ -245,12 +242,6 @@
     <Compile Include="..\Numerics\LinearAlgebra\Double\Factorization\GramSchmidt.cs">
       <Link>LinearAlgebra\Double\Factorization\GramSchmidt.cs</Link>
     </Compile>
-    <Compile Include="..\Numerics\LinearAlgebra\Double\Factorization\LU.cs">
-      <Link>LinearAlgebra\Double\Factorization\LU.cs</Link>
-    </Compile>
-    <Compile Include="..\Numerics\LinearAlgebra\Double\Factorization\QR.cs">
-      <Link>LinearAlgebra\Double\Factorization\QR.cs</Link>
-    </Compile>
     <Compile Include="..\Numerics\LinearAlgebra\Double\Factorization\SparseCholesky.cs">
       <Link>LinearAlgebra\Double\Factorization\SparseCholesky.cs</Link>
     </Compile>
@@ -263,9 +254,6 @@
     <Compile Include="..\Numerics\LinearAlgebra\Double\Factorization\SparseSvd.cs">
       <Link>LinearAlgebra\Double\Factorization\SparseSvd.cs</Link>
     </Compile>
-    <Compile Include="..\Numerics\LinearAlgebra\Double\Factorization\Svd.cs">
-      <Link>LinearAlgebra\Double\Factorization\Svd.cs</Link>
-    </Compile>
     <Compile Include="..\Numerics\LinearAlgebra\Double\Factorization\UserCholesky.cs">
       <Link>LinearAlgebra\Double\Factorization\UserCholesky.cs</Link>
     </Compile>
@@ -290,24 +278,6 @@
     <Compile Include="..\Numerics\LinearAlgebra\Double\IO\MatrixWriter.cs">
       <Link>LinearAlgebra\Double\IO\MatrixWriter.cs</Link>
     </Compile>
-    <Compile Include="..\Numerics\LinearAlgebra\Double\ISolver.cs">
-      <Link>LinearAlgebra\Double\ISolver.cs</Link>
-    </Compile>
-    <Compile Include="..\Numerics\LinearAlgebra\Double\Matrix.Arithmetic.cs">
-      <Link>LinearAlgebra\Double\Matrix.Arithmetic.cs</Link>
-    </Compile>
-    <Compile Include="..\Numerics\LinearAlgebra\Double\Matrix.cs">
-      <Link>LinearAlgebra\Double\Matrix.cs</Link>
-    </Compile>
-    <Compile Include="..\Numerics\LinearAlgebra\Double\Solvers\IIterativeSolver.cs">
-      <Link>LinearAlgebra\Double\Solvers\IIterativeSolver.cs</Link>
-    </Compile>
-    <Compile Include="..\Numerics\LinearAlgebra\Double\Solvers\IIterativeSolverSetup.cs">
-      <Link>LinearAlgebra\Double\Solvers\IIterativeSolverSetup.cs</Link>
-    </Compile>
-    <Compile Include="..\Numerics\LinearAlgebra\Double\Solvers\IIterator.cs">
-      <Link>LinearAlgebra\Double\Solvers\IIterator.cs</Link>
-    </Compile>
     <Compile Include="..\Numerics\LinearAlgebra\Double\Solvers\Iterative\BiCgStab.cs">
       <Link>LinearAlgebra\Double\Solvers\Iterative\BiCgStab.cs</Link>
     </Compile>
@@ -338,62 +308,92 @@
     <Compile Include="..\Numerics\LinearAlgebra\Double\Solvers\Preconditioners\IncompleteLU.cs">
       <Link>LinearAlgebra\Double\Solvers\Preconditioners\IncompleteLU.cs</Link>
     </Compile>
-    <Compile Include="..\Numerics\LinearAlgebra\Double\Solvers\Preconditioners\IPreConditioner.cs">
-      <Link>LinearAlgebra\Double\Solvers\Preconditioners\IPreConditioner.cs</Link>
-    </Compile>
     <Compile Include="..\Numerics\LinearAlgebra\Double\Solvers\Preconditioners\UnitPreconditioner.cs">
       <Link>LinearAlgebra\Double\Solvers\Preconditioners\UnitPreconditioner.cs</Link>
     </Compile>
-    <Compile Include="..\Numerics\LinearAlgebra\Double\Solvers\Status\CalculationCancelled.cs">
-      <Link>LinearAlgebra\Double\Solvers\Status\CalculationCancelled.cs</Link>
-    </Compile>
-    <Compile Include="..\Numerics\LinearAlgebra\Double\Solvers\Status\CalculationConverged.cs">
-      <Link>LinearAlgebra\Double\Solvers\Status\CalculationConverged.cs</Link>
-    </Compile>
-    <Compile Include="..\Numerics\LinearAlgebra\Double\Solvers\Status\CalculationDiverged.cs">
-      <Link>LinearAlgebra\Double\Solvers\Status\CalculationDiverged.cs</Link>
-    </Compile>
-    <Compile Include="..\Numerics\LinearAlgebra\Double\Solvers\Status\CalculationFailure.cs">
-      <Link>LinearAlgebra\Double\Solvers\Status\CalculationFailure.cs</Link>
-    </Compile>
-    <Compile Include="..\Numerics\LinearAlgebra\Double\Solvers\Status\CalculationIndetermined.cs">
-      <Link>LinearAlgebra\Double\Solvers\Status\CalculationIndetermined.cs</Link>
-    </Compile>
-    <Compile Include="..\Numerics\LinearAlgebra\Double\Solvers\Status\CalculationRunning.cs">
-      <Link>LinearAlgebra\Double\Solvers\Status\CalculationRunning.cs</Link>
-    </Compile>
-    <Compile Include="..\Numerics\LinearAlgebra\Double\Solvers\Status\CalculationStoppedWithoutConvergence.cs">
-      <Link>LinearAlgebra\Double\Solvers\Status\CalculationStoppedWithoutConvergence.cs</Link>
-    </Compile>
-    <Compile Include="..\Numerics\LinearAlgebra\Double\Solvers\Status\ICalculationStatus.cs">
-      <Link>LinearAlgebra\Double\Solvers\Status\ICalculationStatus.cs</Link>
-    </Compile>
     <Compile Include="..\Numerics\LinearAlgebra\Double\Solvers\StopCriterium\DivergenceStopCriterium.cs">
       <Link>LinearAlgebra\Double\Solvers\StopCriterium\DivergenceStopCriterium.cs</Link>
     </Compile>
     <Compile Include="..\Numerics\LinearAlgebra\Double\Solvers\StopCriterium\FailureStopCriterium.cs">
       <Link>LinearAlgebra\Double\Solvers\StopCriterium\FailureStopCriterium.cs</Link>
     </Compile>
-    <Compile Include="..\Numerics\LinearAlgebra\Double\Solvers\StopCriterium\IIterationStopCriterium.cs">
-      <Link>LinearAlgebra\Double\Solvers\StopCriterium\IIterationStopCriterium.cs</Link>
-    </Compile>
     <Compile Include="..\Numerics\LinearAlgebra\Double\Solvers\StopCriterium\IterationCountStopCriterium.cs">
       <Link>LinearAlgebra\Double\Solvers\StopCriterium\IterationCountStopCriterium.cs</Link>
     </Compile>
     <Compile Include="..\Numerics\LinearAlgebra\Double\Solvers\StopCriterium\ResidualStopCriterium.cs">
       <Link>LinearAlgebra\Double\Solvers\StopCriterium\ResidualStopCriterium.cs</Link>
     </Compile>
-    <Compile Include="..\Numerics\LinearAlgebra\Double\Solvers\StopCriterium\StopLevel.cs">
-      <Link>LinearAlgebra\Double\Solvers\StopCriterium\StopLevel.cs</Link>
-    </Compile>
     <Compile Include="..\Numerics\LinearAlgebra\Double\SparseMatrix.cs">
       <Link>LinearAlgebra\Double\SparseMatrix.cs</Link>
     </Compile>
     <Compile Include="..\Numerics\LinearAlgebra\Double\SparseVector.cs">
       <Link>LinearAlgebra\Double\SparseVector.cs</Link>
     </Compile>
-    <Compile Include="..\Numerics\LinearAlgebra\Double\Vector.cs">
+    <Compile Include="..\Numerics\LinearAlgebra\Generic\Factorization\Cholesky.cs">
-      <Link>LinearAlgebra\Double\Vector.cs</Link>
+      <Link>LinearAlgebra\Generic\Factorization\Cholesky.cs</Link>
+    </Compile>
+    <Compile Include="..\Numerics\LinearAlgebra\Generic\Factorization\LU.cs">
+      <Link>LinearAlgebra\Generic\Factorization\LU.cs</Link>
+    </Compile>
+    <Compile Include="..\Numerics\LinearAlgebra\Generic\Factorization\QR.cs">
+      <Link>LinearAlgebra\Generic\Factorization\QR.cs</Link>
+    </Compile>
+    <Compile Include="..\Numerics\LinearAlgebra\Generic\Factorization\Svd.cs">
+      <Link>LinearAlgebra\Generic\Factorization\Svd.cs</Link>
+    </Compile>
+    <Compile Include="..\Numerics\LinearAlgebra\Generic\ISolver.cs">
+      <Link>LinearAlgebra\Generic\ISolver.cs</Link>
+    </Compile>
+    <Compile Include="..\Numerics\LinearAlgebra\Generic\Matrix.Arithmetic.cs">
+      <Link>LinearAlgebra\Generic\Matrix.Arithmetic.cs</Link>
+    </Compile>
+    <Compile Include="..\Numerics\LinearAlgebra\Generic\Matrix.cs">
+      <Link>LinearAlgebra\Generic\Matrix.cs</Link>
+    </Compile>
+    <Compile Include="..\Numerics\LinearAlgebra\Generic\Solvers\IIterativeSolver.cs">
+      <Link>LinearAlgebra\Generic\Solvers\IIterativeSolver.cs</Link>
+    </Compile>
+    <Compile Include="..\Numerics\LinearAlgebra\Generic\Solvers\IIterativeSolverSetup.cs">
+      <Link>LinearAlgebra\Generic\Solvers\IIterativeSolverSetup.cs</Link>
+    </Compile>
+    <Compile Include="..\Numerics\LinearAlgebra\Generic\Solvers\IIterator.cs">
+      <Link>LinearAlgebra\Generic\Solvers\IIterator.cs</Link>
+    </Compile>
+    <Compile Include="..\Numerics\LinearAlgebra\Generic\Solvers\Preconditioners\IPreConditioner.cs">
+      <Link>LinearAlgebra\Generic\Solvers\Preconditioners\IPreConditioner.cs</Link>
+    </Compile>
+    <Compile Include="..\Numerics\LinearAlgebra\Generic\Solvers\Status\CalculationCancelled.cs">
+      <Link>LinearAlgebra\Generic\Solvers\Status\CalculationCancelled.cs</Link>
+    </Compile>
+    <Compile Include="..\Numerics\LinearAlgebra\Generic\Solvers\Status\CalculationConverged.cs">
+      <Link>LinearAlgebra\Generic\Solvers\Status\CalculationConverged.cs</Link>
+    </Compile>
+    <Compile Include="..\Numerics\LinearAlgebra\Generic\Solvers\Status\CalculationDiverged.cs">
+      <Link>LinearAlgebra\Generic\Solvers\Status\CalculationDiverged.cs</Link>
+    </Compile>
+    <Compile Include="..\Numerics\LinearAlgebra\Generic\Solvers\Status\CalculationFailure.cs">
+      <Link>LinearAlgebra\Generic\Solvers\Status\CalculationFailure.cs</Link>
+    </Compile>
+    <Compile Include="..\Numerics\LinearAlgebra\Generic\Solvers\Status\CalculationIndetermined.cs">
+      <Link>LinearAlgebra\Generic\Solvers\Status\CalculationIndetermined.cs</Link>
+    </Compile>
+    <Compile Include="..\Numerics\LinearAlgebra\Generic\Solvers\Status\CalculationRunning.cs">
+      <Link>LinearAlgebra\Generic\Solvers\Status\CalculationRunning.cs</Link>
+    </Compile>
+    <Compile Include="..\Numerics\LinearAlgebra\Generic\Solvers\Status\CalculationStoppedWithoutConvergence.cs">
+      <Link>LinearAlgebra\Generic\Solvers\Status\CalculationStoppedWithoutConvergence.cs</Link>
+    </Compile>
+    <Compile Include="..\Numerics\LinearAlgebra\Generic\Solvers\Status\ICalculationStatus.cs">
+      <Link>LinearAlgebra\Generic\Solvers\Status\ICalculationStatus.cs</Link>
+    </Compile>
+    <Compile Include="..\Numerics\LinearAlgebra\Generic\Solvers\StopCriterium\IIterationStopCriterium.cs">
+      <Link>LinearAlgebra\Generic\Solvers\StopCriterium\IIterationStopCriterium.cs</Link>
+    </Compile>
+    <Compile Include="..\Numerics\LinearAlgebra\Generic\Solvers\StopCriterium\StopLevel.cs">
+      <Link>LinearAlgebra\Generic\Solvers\StopCriterium\StopLevel.cs</Link>
+    </Compile>
+    <Compile Include="..\Numerics\LinearAlgebra\Generic\Vector.cs">
+      <Link>LinearAlgebra\Generic\Vector.cs</Link>
     </Compile>
     <Compile Include="..\Numerics\NumberTheory\IntegerTheory.cs">
       <Link>NumberTheory\IntegerTheory.cs</Link>

src/UnitTests/LinearAlgebraTests/Double/DenseMatrixTests.cs

@@ -31,27 +31,28 @@
 namespace MathNet.Numerics.UnitTests.LinearAlgebraTests.Double
 {
 	using System.Collections.Generic;
+	using LinearAlgebra.Generic;
 	using MbUnit.Framework;
     using LinearAlgebra.Double;
 
     public class DenseMatrixTests : MatrixTests
     {
-        protected override Matrix CreateMatrix(int rows, int columns)
+        protected override Matrix<double> CreateMatrix(int rows, int columns)
         {
             return new DenseMatrix(rows, columns);
         }
 
-        protected override Matrix CreateMatrix(double[,] data)
+        protected override Matrix<double> CreateMatrix(double[,] data)
         {
             return new DenseMatrix(data);
         }
 
-        protected override Vector CreateVector(int size)
+        protected override Vector<double> CreateVector(int size)
         {
             return new DenseVector(size);
         }
 
-        protected override Vector CreateVector(double[] data)
+        protected override Vector<double> CreateVector(double[] data)
         {
             return new DenseVector(data);
         }
@@ -59,7 +60,7 @@ namespace MathNet.Numerics.UnitTests.LinearAlgebraTests.Double
         [Test]
         public void CanCreateMatrixFrom1DArray()
         {
-            Dictionary<string, Matrix> testData = new Dictionary<string, Matrix>
+            var testData = new Dictionary<string, Matrix<double>>
                                                   {
                                                       { "Singular3x3", new DenseMatrix(3, 3, new[] { 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 2.0, 2.0, 2.0 }) },
                                                       { "Square3x3", new DenseMatrix(3, 3, new[] { -1.1, 0.0, -4.4, -2.2, 1.1, 5.5, -3.3, 2.2, 6.6 }) },

src/UnitTests/LinearAlgebraTests/Double/DenseVectorTests.cs

@@ -29,16 +29,17 @@ namespace MathNet.Numerics.UnitTests.LinearAlgebraTests.Double
     using System;
     using System.Collections.Generic;
     using LinearAlgebra.Double;
+    using LinearAlgebra.Generic;
     using MbUnit.Framework;
 
     public class DenseVectorTests : VectorTests
     {
-        protected override Vector CreateVector(int size)
+        protected override Vector<double> CreateVector(int size)
         {
             return new DenseVector(size);
         }
 
-        protected override Vector CreateVector(IList<double> data)
+        protected override Vector<double> CreateVector(IList<double> data)
         {
             var vector = new DenseVector(data.Count);
             for (var index = 0; index < data.Count; index++)
@@ -85,7 +86,7 @@ namespace MathNet.Numerics.UnitTests.LinearAlgebraTests.Double
         [MultipleAsserts]
         public void CanCreateDenseVectorFromAnotherVector()
         {
-            var vector = (Vector)new DenseVector(Data);
+            var vector = (Vector<double>)new DenseVector(Data);
             var other = new DenseVector(vector);
 
             Assert.AreNotSame(vector, other);
@@ -258,7 +259,7 @@ namespace MathNet.Numerics.UnitTests.LinearAlgebraTests.Double
         {
             var vector1 = CreateVector(Data);
             var vector2 = CreateVector(Data);
-            Matrix m = Vector.OuterProduct(vector1, vector2);
+            Matrix<double> m = Vector<double>.OuterProduct(vector1, vector2);
             for (var i = 0; i < vector1.Count; i++)
             {
                 for (var j = 0; j < vector2.Count; j++)
@@ -274,7 +275,7 @@ namespace MathNet.Numerics.UnitTests.LinearAlgebraTests.Double
         {
             DenseVector vector1 = null;
             var vector2 = CreateVector(Data);
-            Vector.OuterProduct(vector1, vector2);
+            Vector<double>.OuterProduct(vector1, vector2);
         }
 
         [Test]
@@ -283,7 +284,7 @@ namespace MathNet.Numerics.UnitTests.LinearAlgebraTests.Double
         {
             var vector1 = CreateVector(Data);
             DenseVector vector2 = null;
-            Vector.OuterProduct(vector1, vector2);
+            Vector<double>.OuterProduct(vector1, vector2);
         }
     }
 }

src/UnitTests/LinearAlgebraTests/Double/DiagonalMatrixTests.cs

@@ -33,6 +33,7 @@ namespace MathNet.Numerics.UnitTests.LinearAlgebraTests.Double
     using System;
     using System.Collections.Generic;
     using System.Linq;
+    using LinearAlgebra.Generic;
     using MbUnit.Framework;
     using LinearAlgebra.Double;
 
@@ -51,29 +52,29 @@ namespace MathNet.Numerics.UnitTests.LinearAlgebraTests.Double
                              { "Wide2x3", new [,] { { -1.1, 0.0, 0.0 }, { 0.0, 1.1, 0.0 } } }
                          };
 
-            TestMatrices = new Dictionary<string, Matrix>();
+            TestMatrices = new Dictionary<string, Matrix<double>>();
             foreach (var name in TestData2D.Keys)
             {
                 TestMatrices.Add(name, CreateMatrix(TestData2D[name]));
             }
         }
 
-        protected override Matrix CreateMatrix(int rows, int columns)
+        protected override Matrix<double> CreateMatrix(int rows, int columns)
         {
             return new DiagonalMatrix(rows, columns);
         }
 
-        protected override Matrix CreateMatrix(double[,] data)
+        protected override Matrix<double> CreateMatrix(double[,] data)
         {
             return new DiagonalMatrix(data);
         }
 
-        protected override Vector CreateVector(int size)
+        protected override Vector<double> CreateVector(int size)
         {
             return new DenseVector(size);
         }
 
-        protected override Vector CreateVector(double[] data)
+        protected override Vector<double> CreateVector(double[] data)
         {
             return new DenseVector(data);
         }
@@ -81,7 +82,7 @@ namespace MathNet.Numerics.UnitTests.LinearAlgebraTests.Double
         [Test]
         public void CanCreateMatrixFromDiagonalArray()
         {
-            var testData = new Dictionary<string, Matrix>
+            var testData = new Dictionary<string, Matrix<double>>
                            {
                                { "Singular3x3", new DiagonalMatrix(3, 3, new[] { 1.0, 0.0, 3.0}) },
                                { "Square3x3", new DiagonalMatrix(4, 4, new[] { -1.1, 1.1, 6.6 }) },

src/UnitTests/LinearAlgebraTests/Double/LinearAlgebraProviderTests.cs

@@ -33,6 +33,7 @@ namespace MathNet.Numerics.UnitTests.LinearAlgebraTests.Double
     using System;
     using Algorithms.LinearAlgebra;
     using LinearAlgebra.Double;
+    using LinearAlgebra.Generic;
     using MbUnit.Framework;
 
     [TestFixture]
@@ -343,22 +344,22 @@ namespace MathNet.Numerics.UnitTests.LinearAlgebraTests.Double
 
         }
 
-        protected override Matrix CreateMatrix(int rows, int columns)
+        protected override Matrix<double> CreateMatrix(int rows, int columns)
         {
             return new DenseMatrix(rows, columns);
         }
 
-        protected override Matrix CreateMatrix(double[,] data)
+        protected override Matrix<double> CreateMatrix(double[,] data)
         {
             return new DenseMatrix(data);
         }
 
-        protected override Vector CreateVector(int size)
+        protected override Vector<double> CreateVector(int size)
         {
             return new DenseVector(size);
         }
 
-        protected override Vector CreateVector(double[] data)
+        protected override Vector<double> CreateVector(double[] data)
         {
             return new DenseVector(data);
         }

src/UnitTests/LinearAlgebraTests/Double/MatrixLoader.cs

@@ -33,17 +33,18 @@ namespace MathNet.Numerics.UnitTests.LinearAlgebraTests.Double
 {
 	using System.Collections.Generic;
 	using LinearAlgebra.Double;
-    using MbUnit.Framework;
+	using LinearAlgebra.Generic;
+	using MbUnit.Framework;
 
     public abstract class MatrixLoader
     {
         protected Dictionary<string, double[,]> TestData2D;
-        protected Dictionary<string, Matrix> TestMatrices;
+        protected Dictionary<string, Matrix<double>> TestMatrices;
 
-        protected abstract Matrix CreateMatrix(int rows, int columns);
+        protected abstract Matrix<double> CreateMatrix(int rows, int columns);
-        protected abstract Matrix CreateMatrix(double[,] data);
+        protected abstract Matrix<double> CreateMatrix(double[,] data);
-        protected abstract Vector CreateVector(int size);
+        protected abstract Vector<double> CreateVector(int size);
-        protected abstract Vector CreateVector(double[] data);
+        protected abstract Vector<double> CreateVector(double[] data);
 
         [SetUp]
         public virtual void SetupMatrices()
@@ -58,14 +59,14 @@ namespace MathNet.Numerics.UnitTests.LinearAlgebraTests.Double
                              { "Wide2x3", new[,] { { -1.1, -2.2, -3.3 }, { 0.0, 1.1, 2.2 } } },
                          };
 
-            TestMatrices = new Dictionary<string, Matrix>();
+            TestMatrices = new Dictionary<string, Matrix<double>>();
             foreach (var name in TestData2D.Keys)
             {
                 TestMatrices.Add(name, CreateMatrix(TestData2D[name]));
             }
         }
 
-        public static Matrix GenerateRandomDenseMatrix(int row, int col)
+        public static Matrix<double> GenerateRandomDenseMatrix(int row, int col)
         {
             // Fill a matrix with standard random numbers.
             var normal = new Distributions.Normal();
@@ -83,7 +84,7 @@ namespace MathNet.Numerics.UnitTests.LinearAlgebraTests.Double
             return matrixA;
         }
 
-        public static Matrix GenerateRandomPositiveDefiniteDenseMatrix(int order)
+        public static Matrix<double> GenerateRandomPositiveDefiniteDenseMatrix(int order)
         {
             // Fill a matrix with standard random numbers.
             var normal = new Distributions.Normal();
@@ -101,7 +102,7 @@ namespace MathNet.Numerics.UnitTests.LinearAlgebraTests.Double
             return matrixA.Transpose() * matrixA;
         }
 
-        public static Vector GenerateRandomDenseVector(int order)
+        public static Vector<double> GenerateRandomDenseVector(int order)
         {
             // Fill a matrix with standard random numbers.
             var normal = new Distributions.Normal();
@@ -116,7 +117,7 @@ namespace MathNet.Numerics.UnitTests.LinearAlgebraTests.Double
             return v;
         }
 
-        public static Matrix GenerateRandomUserDefinedMatrix(int row, int col)
+        public static Matrix<double> GenerateRandomUserDefinedMatrix(int row, int col)
         {
             // Fill a matrix with standard random numbers.
             var normal = new Distributions.Normal();
@@ -134,7 +135,7 @@ namespace MathNet.Numerics.UnitTests.LinearAlgebraTests.Double
             return matrixA;
         }
 
-        public static Matrix GenerateRandomPositiveDefiniteUserDefinedMatrix(int order)
+        public static Matrix<double> GenerateRandomPositiveDefiniteUserDefinedMatrix(int order)
         {
             // Fill a matrix with standard random numbers.
             var normal = new Distributions.Normal();
@@ -152,7 +153,7 @@ namespace MathNet.Numerics.UnitTests.LinearAlgebraTests.Double
             return matrixA.Transpose() * matrixA;
         }
 
-        public static Vector GenerateRandomUserDefinedVector(int order)
+        public static Vector<double> GenerateRandomUserDefinedVector(int order)
         {
             // Fill a matrix with standard random numbers.
             var normal = new Distributions.Normal();

src/UnitTests/LinearAlgebraTests/Double/MatrixTests.Arithmetic.cs

@@ -29,6 +29,7 @@ namespace MathNet.Numerics.UnitTests.LinearAlgebraTests.Double
     using System;
     using Distributions;
     using LinearAlgebra.Double;
+    using LinearAlgebra.Generic;
     using MbUnit.Framework;
 
     public abstract partial class MatrixTests
@@ -40,7 +41,7 @@ namespace MathNet.Numerics.UnitTests.LinearAlgebraTests.Double
         [MultipleAsserts]
         public void CanMultiplyWithScalar(double scalar)
         {
-            var matrix = this.TestMatrices["Singular3x3"];
+            var matrix = TestMatrices["Singular3x3"];
             var clone = matrix.Clone();
             clone.Multiply(scalar);
 
@@ -56,7 +57,7 @@ namespace MathNet.Numerics.UnitTests.LinearAlgebraTests.Double
         [Test]
         public void CanMultiplyWithVector()
         {
-            var A = this.TestMatrices["Singular3x3"];
+            var A = TestMatrices["Singular3x3"];
             var x = new DenseVector(new[] { 1.0, 2.0, 3.0 });
             var y = A * x;
 
@@ -73,7 +74,7 @@ namespace MathNet.Numerics.UnitTests.LinearAlgebraTests.Double
         [Test]
         public void CanMultiplyWithVectorIntoResult()
         {
-            var A = this.TestMatrices["Singular3x3"];
+            var A = TestMatrices["Singular3x3"];
             var x = new DenseVector(new[] { 1.0, 2.0, 3.0 });
             var y = new DenseVector(3);
             A.Multiply(x, y);
@@ -89,7 +90,7 @@ namespace MathNet.Numerics.UnitTests.LinearAlgebraTests.Double
         [Test]
         public void CanMultiplyWithVectorIntoResultWhenUpdatingInputArgument()
         {
-            var A = this.TestMatrices["Singular3x3"];
+            var A = TestMatrices["Singular3x3"];
             var x = new DenseVector(new[] { 1.0, 2.0, 3.0 });
             var y = x;
             A.Multiply(x, x);
@@ -109,9 +110,9 @@ namespace MathNet.Numerics.UnitTests.LinearAlgebraTests.Double
         [ExpectedArgumentNullException]
         public void MultiplyWithVectorIntoResultFailsWhenResultIsNull()
         {
-            var A = this.TestMatrices["Singular3x3"];
+            var A = TestMatrices["Singular3x3"];
             var x = new DenseVector(new[] { 1.0, 2.0, 3.0 });
-            Vector y = null;
+            Vector<double> y = null;
             A.Multiply(x, y);
         }
 
@@ -119,9 +120,9 @@ namespace MathNet.Numerics.UnitTests.LinearAlgebraTests.Double
         [ExpectedArgumentException]
         public void MultiplyWithVectorIntoResultFailsWhenResultIsTooLarge()
         {
-            var A = this.TestMatrices["Singular3x3"];
+            var A = TestMatrices["Singular3x3"];
             var x = new DenseVector(new[] { 1.0, 2.0, 3.0 });
-            Vector y = new DenseVector(4);
+            Vector<double> y = new DenseVector(4);
             A.Multiply(x, y);
         }
 
@@ -132,7 +133,7 @@ namespace MathNet.Numerics.UnitTests.LinearAlgebraTests.Double
         [MultipleAsserts]
         public void CanOperatorLeftMultiplyWithScalar(double scalar)
         {
-            var matrix = this.TestMatrices["Singular3x3"];
+            var matrix = TestMatrices["Singular3x3"];
             var clone = matrix * scalar;
 
             for (var i = 0; i < matrix.RowCount; i++)
@@ -151,7 +152,7 @@ namespace MathNet.Numerics.UnitTests.LinearAlgebraTests.Double
         [MultipleAsserts]
         public void CanOperatorRightMultiplyWithScalar(double scalar)
         {
-            var matrix = this.TestMatrices["Singular3x3"];
+            var matrix = TestMatrices["Singular3x3"];
             var clone = matrix * scalar;
 
             for (var i = 0; i < matrix.RowCount; i++)
@@ -170,7 +171,7 @@ namespace MathNet.Numerics.UnitTests.LinearAlgebraTests.Double
         [MultipleAsserts]
         public void CanMultiplyWithScalarIntoResult(double scalar)
         {
-            var matrix = this.TestMatrices["Singular3x3"];
+            var matrix = TestMatrices["Singular3x3"];
             var result = matrix.Clone();
             matrix.Multiply(scalar, result);
 
@@ -187,8 +188,8 @@ namespace MathNet.Numerics.UnitTests.LinearAlgebraTests.Double
         [ExpectedException(typeof(ArgumentNullException))]
         public void MultiplyWithScalarIntoResultFailsWhenResultIsNull()
         {
-            var matrix = this.TestMatrices["Singular3x3"];
+            var matrix = TestMatrices["Singular3x3"];
-            Matrix result = null;
+            Matrix<double> result = null;
             matrix.Multiply(2.3, result);
         }
 
@@ -196,8 +197,8 @@ namespace MathNet.Numerics.UnitTests.LinearAlgebraTests.Double
         [ExpectedArgumentException]
         public void MultiplyWithScalarFailsWhenResultHasMoreRows()
         {
-            var matrix = this.TestMatrices["Singular3x3"];
+            var matrix = TestMatrices["Singular3x3"];
-            var result = this.CreateMatrix(matrix.RowCount + 1, matrix.ColumnCount);
+            var result = CreateMatrix(matrix.RowCount + 1, matrix.ColumnCount);
             matrix.Multiply(2.3, result);
         }
 
@@ -205,8 +206,8 @@ namespace MathNet.Numerics.UnitTests.LinearAlgebraTests.Double
         [ExpectedArgumentException]
         public void MultiplyWithScalarFailsWhenResultHasMoreColumns()
         {
-            var matrix = this.TestMatrices["Singular3x3"];
+            var matrix = TestMatrices["Singular3x3"];
-            var result = this.CreateMatrix(matrix.RowCount, matrix.ColumnCount + 1);
+            var result = CreateMatrix(matrix.RowCount, matrix.ColumnCount + 1);
             matrix.Multiply(2.3, result);
         }
 
@@ -214,7 +215,7 @@ namespace MathNet.Numerics.UnitTests.LinearAlgebraTests.Double
         [ExpectedException(typeof(ArgumentNullException))]
         public void OperatorLeftMultiplyWithScalarFailsWhenMatrixIsNull()
         {
-            Matrix matrix = null;
+            Matrix<double> matrix = null;
             var result = 2.3 * matrix;
         }
 
@@ -222,7 +223,7 @@ namespace MathNet.Numerics.UnitTests.LinearAlgebraTests.Double
         [ExpectedException(typeof(ArgumentNullException))]
         public void OperatorRightMultiplyWithScalarFailsWhenMatrixIsNull()
         {
-            Matrix matrix = null;
+            Matrix<double> matrix = null;
             var result = matrix * 2.3;
         }
 
@@ -231,8 +232,8 @@ namespace MathNet.Numerics.UnitTests.LinearAlgebraTests.Double
         [Row("Singular4x4", "Square4x4")]
         public void CanAddMatrix(string mtxA, string mtxB)
         {
-            var A = this.TestMatrices[mtxA];
+            var A = TestMatrices[mtxA];
-            var B = this.TestMatrices[mtxB];
+            var B = TestMatrices[mtxB];
 
             var matrix = A.Clone();
             matrix.Add(B);
@@ -249,8 +250,8 @@ namespace MathNet.Numerics.UnitTests.LinearAlgebraTests.Double
         [ExpectedException(typeof(ArgumentNullException))]
         public void AddMatrixThrowsExceptionWhenArgumentIsNull()
         {
-            var matrix = this.TestMatrices["Singular4x4"];
+            var matrix = TestMatrices["Singular4x4"];
-            Matrix other = null;
+            Matrix<double> other = null;
             matrix.Add(other);
         }
 
@@ -258,8 +259,8 @@ namespace MathNet.Numerics.UnitTests.LinearAlgebraTests.Double
         [ExpectedException(typeof(ArgumentOutOfRangeException))]
         public void AddMatrixThrowsExceptionArgumentHasTooFewColumns()
         {
-            var matrix = this.TestMatrices["Singular3x3"];
+            var matrix = TestMatrices["Singular3x3"];
-            var other = this.TestMatrices["Tall3x2"];
+            var other = TestMatrices["Tall3x2"];
             matrix.Add(other);
         }
 
@@ -267,8 +268,8 @@ namespace MathNet.Numerics.UnitTests.LinearAlgebraTests.Double
         [ExpectedException(typeof(ArgumentOutOfRangeException))]
         public void AddMatrixThrowsExceptionArgumentHasTooFewRows()
         {
-            var matrix = this.TestMatrices["Singular3x3"];
+            var matrix = TestMatrices["Singular3x3"];
-            var other = this.TestMatrices["Wide2x3"];
+            var other = TestMatrices["Wide2x3"];
             matrix.Add(other);
         }
 
@@ -277,8 +278,8 @@ namespace MathNet.Numerics.UnitTests.LinearAlgebraTests.Double
         [Row("Singular4x4", "Square4x4")]
         public void AddOperator(string mtxA, string mtxB)
         {
-            var A = this.TestMatrices[mtxA];
+            var A = TestMatrices[mtxA];
-            var B = this.TestMatrices[mtxB];
+            var B = TestMatrices[mtxB];
 
             var result = A + B;
             for (var i = 0; i < A.RowCount; i++)
@@ -294,8 +295,8 @@ namespace MathNet.Numerics.UnitTests.LinearAlgebraTests.Double
         [ExpectedException(typeof(ArgumentNullException))]
         public void AddOperatorThrowsExceptionWhenLeftsideIsNull()
         {
-            Matrix matrix = null;
+            Matrix<double> matrix = null;
-            var other = this.TestMatrices["Singular3x3"];
+            var other = TestMatrices["Singular3x3"];
             var result = matrix + other;
         }
 
@@ -303,8 +304,8 @@ namespace MathNet.Numerics.UnitTests.LinearAlgebraTests.Double
         [ExpectedException(typeof(ArgumentNullException))]
         public void AddOperatorThrowsExceptionWhenRightsideIsNull()
         {
-            var matrix = this.TestMatrices["Singular3x3"];
+            var matrix = TestMatrices["Singular3x3"];
-            Matrix other = null;
+            Matrix<double> other = null;
             var result = matrix + other;
         }
 
@@ -312,8 +313,8 @@ namespace MathNet.Numerics.UnitTests.LinearAlgebraTests.Double
         [ExpectedException(typeof(ArgumentOutOfRangeException))]
         public void AddOperatorThrowsExceptionWhenRightsideHasTooFewColumns()
         {
-            var matrix = this.TestMatrices["Singular3x3"];
+            var matrix = TestMatrices["Singular3x3"];
-            var other = this.TestMatrices["Tall3x2"];
+            var other = TestMatrices["Tall3x2"];
             var result = matrix + other;
         }
 
@@ -321,8 +322,8 @@ namespace MathNet.Numerics.UnitTests.LinearAlgebraTests.Double
         [ExpectedException(typeof(ArgumentOutOfRangeException))]
         public void AddOperatorThrowsExceptionWhenRightsideHasTooFewRows()
         {
-            var matrix = this.TestMatrices["Singular3x3"];
+            var matrix = TestMatrices["Singular3x3"];
-            var other = this.TestMatrices["Wide2x3"];
+            var other = TestMatrices["Wide2x3"];
             var result = matrix + other;
         }
 
@@ -331,8 +332,8 @@ namespace MathNet.Numerics.UnitTests.LinearAlgebraTests.Double
         [Row("Singular4x4", "Square4x4")]
         public void CanSubtractMatrix(string mtxA, string mtxB)
         {
-            var A = this.TestMatrices[mtxA];
+            var A = TestMatrices[mtxA];
-            var B = this.TestMatrices[mtxB];
+            var B = TestMatrices[mtxB];
 
             var matrix = A.Clone();
             matrix.Subtract(B);
@@ -349,8 +350,8 @@ namespace MathNet.Numerics.UnitTests.LinearAlgebraTests.Double
         [ExpectedException(typeof(ArgumentNullException))]
         public void SubtractMatrixThrowsExceptionWhenRightSideIsNull()
         {
-            var matrix = this.TestMatrices["Singular4x4"];
+            var matrix = TestMatrices["Singular4x4"];
-            Matrix other = null;
+            Matrix<double> other = null;
             matrix.Subtract(other);
         }
 
@@ -358,8 +359,8 @@ namespace MathNet.Numerics.UnitTests.LinearAlgebraTests.Double
         [ExpectedException(typeof(ArgumentOutOfRangeException))]
         public void SubtractMatrixThrowsExceptionWhenRightSideHasTooFewColumns()
         {
-            var matrix = this.TestMatrices["Singular3x3"];
+            var matrix = TestMatrices["Singular3x3"];
-            var other = this.TestMatrices["Tall3x2"];
+            var other = TestMatrices["Tall3x2"];
             matrix.Subtract(other);
         }
 
@@ -367,8 +368,8 @@ namespace MathNet.Numerics.UnitTests.LinearAlgebraTests.Double
         [ExpectedException(typeof(ArgumentOutOfRangeException))]
         public void SubtractMatrixThrowsExceptionWhenRightSideHasTooFewRows()
         {
-            var matrix = this.TestMatrices["Singular3x3"];
+            var matrix = TestMatrices["Singular3x3"];
-            var other = this.TestMatrices["Wide2x3"];
+            var other = TestMatrices["Wide2x3"];
             matrix.Subtract(other);
         }
 
@@ -377,8 +378,8 @@ namespace MathNet.Numerics.UnitTests.LinearAlgebraTests.Double
         [Row("Singular4x4", "Square4x4")]
         public void SubtractOperator(string mtxA, string mtxB)
         {
-            var A = this.TestMatrices[mtxA];
+            var A = TestMatrices[mtxA];
-            var B = this.TestMatrices[mtxB];
+            var B = TestMatrices[mtxB];
 
             var result = A - B;
             for (var i = 0; i < A.RowCount; i++)
@@ -394,8 +395,8 @@ namespace MathNet.Numerics.UnitTests.LinearAlgebraTests.Double
         [ExpectedException(typeof(ArgumentNullException))]
         public void SubtractOperatorThrowsExceptionWhenLeftsideIsNull()
         {
-            Matrix matrix = null;
+            Matrix<double> matrix = null;
-            var other = this.TestMatrices["Singular3x3"];
+            var other = TestMatrices["Singular3x3"];
             var result = matrix - other;
         }
 
@@ -403,8 +404,8 @@ namespace MathNet.Numerics.UnitTests.LinearAlgebraTests.Double
         [ExpectedException(typeof(ArgumentNullException))]
         public void SubtractOperatorThrowsExceptionWhenRightsideIsNull()
         {
-            var matrix = this.TestMatrices["Singular3x3"];
+            var matrix = TestMatrices["Singular3x3"];
-            Matrix other = null;
+            Matrix<double> other = null;
             var result = matrix - other;
         }
 
@@ -412,8 +413,8 @@ namespace MathNet.Numerics.UnitTests.LinearAlgebraTests.Double
         [ExpectedException(typeof(ArgumentOutOfRangeException))]
         public void SubtractOperatorThrowsExceptionWhenRightsideHasTooFewColumns()
         {
-            var matrix = this.TestMatrices["Singular3x3"];
+            var matrix = TestMatrices["Singular3x3"];
-            var other = this.TestMatrices["Tall3x2"];
+            var other = TestMatrices["Tall3x2"];
             var result = matrix - other;
         }
 
@@ -421,8 +422,8 @@ namespace MathNet.Numerics.UnitTests.LinearAlgebraTests.Double
         [ExpectedException(typeof(ArgumentOutOfRangeException))]
         public void SubtractOperatorThrowsExceptionWhenRightsideHasTooFewRows()
         {
-            var matrix = this.TestMatrices["Singular3x3"];
+            var matrix = TestMatrices["Singular3x3"];
-            var other = this.TestMatrices["Wide2x3"];
+            var other = TestMatrices["Wide2x3"];
             var result = matrix - other;
         }
 
@@ -435,8 +436,8 @@ namespace MathNet.Numerics.UnitTests.LinearAlgebraTests.Double
         [MultipleAsserts]
         public void CanMultiplyMatrixWithMatrix(string nameA, string nameB)
         {
-            var A = this.TestMatrices[nameA];
+            var A = TestMatrices[nameA];
-            var B = this.TestMatrices[nameB];
+            var B = TestMatrices[nameB];
             var C = A * B;
 
             Assert.AreEqual(C.RowCount, A.RowCount);
@@ -459,8 +460,8 @@ namespace MathNet.Numerics.UnitTests.LinearAlgebraTests.Double
         [MultipleAsserts]
         public void CanTransposeAndMultiplyMatrixWithMatrix(string nameA)
         {
-            var A = this.TestMatrices[nameA];
+            var A = TestMatrices[nameA];
-            var B = this.TestMatrices[nameA];
+            var B = TestMatrices[nameA];
             var C = A.TransposeAndMultiply(B);
 
             Assert.AreEqual(C.RowCount, A.RowCount);
@@ -479,8 +480,8 @@ namespace MathNet.Numerics.UnitTests.LinearAlgebraTests.Double
         [ExpectedException(typeof(ArgumentException))]
         public void TransposeAndMultiplyMatrixMatrixFailsWhenSizesAreIncompatible()
         {
-            var matrix = this.TestMatrices["Singular3x3"];
+            var matrix = TestMatrices["Singular3x3"];
-            var other = this.TestMatrices["Tall3x2"];
+            var other = TestMatrices["Tall3x2"];
             var result = matrix.TransposeAndMultiply(other);
         }
 
@@ -488,8 +489,8 @@ namespace MathNet.Numerics.UnitTests.LinearAlgebraTests.Double
         [ExpectedException(typeof(ArgumentNullException))]
         public void TransposeAndMultiplyMatrixMatrixFailsWhenRightArgumentIsNull()
         {
-            var matrix = this.TestMatrices["Wide2x3"];
+            var matrix = TestMatrices["Wide2x3"];
-            Matrix other = null;
+            Matrix<double> other = null;
             var result = matrix.TransposeAndMultiply(other);
         }
 
@@ -502,9 +503,9 @@ namespace MathNet.Numerics.UnitTests.LinearAlgebraTests.Double
         [MultipleAsserts]
         public void CanTransposeAndMultiplyMatrixWithMatrixIntoResult(string nameA)
         {
-            var A = this.TestMatrices[nameA];
+            var A = TestMatrices[nameA];
-            var B = this.TestMatrices[nameA];
+            var B = TestMatrices[nameA];
-            var C = this.CreateMatrix(A.RowCount, B.RowCount);
+            var C = CreateMatrix(A.RowCount, B.RowCount);
             A.TransposeAndMultiply(B, C);
 
             Assert.AreEqual(C.RowCount, A.RowCount);
@@ -523,8 +524,8 @@ namespace MathNet.Numerics.UnitTests.LinearAlgebraTests.Double
         [ExpectedException(typeof(ArgumentException))]
         public void MultiplyMatrixMatrixFailsWhenSizesAreIncompatible()
         {
-            var matrix = this.TestMatrices["Singular3x3"];
+            var matrix = TestMatrices["Singular3x3"];
-            var other = this.TestMatrices["Wide2x3"];
+            var other = TestMatrices["Wide2x3"];
             var result = matrix * other;
         }
 
@@ -532,8 +533,8 @@ namespace MathNet.Numerics.UnitTests.LinearAlgebraTests.Double
         [ExpectedException(typeof(ArgumentNullException))]
         public void MultiplyMatrixMatrixFailsWhenLeftArgumentIsNull()
         {
-            Matrix matrix = null;
+            Matrix<double> matrix = null;
-            var other = this.TestMatrices["Wide2x3"];
+            var other = TestMatrices["Wide2x3"];
             var result = matrix * other;
         }
 
@@ -541,8 +542,8 @@ namespace MathNet.Numerics.UnitTests.LinearAlgebraTests.Double
         [ExpectedException(typeof(ArgumentNullException))]
         public void MultiplyMatrixMatrixFailsWhenRightArgumentIsNull()
         {
-            var matrix = this.TestMatrices["Wide2x3"];
+            var matrix = TestMatrices["Wide2x3"];
-            Matrix other = null;
+            Matrix<double> other = null;
             var result = matrix * other;
         }
 
@@ -555,9 +556,9 @@ namespace MathNet.Numerics.UnitTests.LinearAlgebraTests.Double
         [MultipleAsserts]
         public virtual void CanMultiplyMatrixWithMatrixIntoResult(string nameA, string nameB)
         {
-            var A = this.TestMatrices[nameA];
+            var A = TestMatrices[nameA];
-            var B = this.TestMatrices[nameB];
+            var B = TestMatrices[nameB];
-            var C = this.CreateMatrix(A.RowCount, B.ColumnCount);
+            var C = CreateMatrix(A.RowCount, B.ColumnCount);
             A.Multiply(B, C);
 
             Assert.AreEqual(C.RowCount, A.RowCount);
@@ -581,7 +582,7 @@ namespace MathNet.Numerics.UnitTests.LinearAlgebraTests.Double
         [MultipleAsserts]
         public void CanNegate(string name)
         {
-            var matrix = this.TestMatrices[name];
+            var matrix = TestMatrices[name];
             var copy = matrix.Clone();
 
             copy.Negate();
@@ -604,7 +605,7 @@ namespace MathNet.Numerics.UnitTests.LinearAlgebraTests.Double
         [MultipleAsserts]
         public void CanNegateIntoResult(string name)
         {
-            var matrix = this.TestMatrices[name];
+            var matrix = TestMatrices[name];
             var copy = matrix.Clone();
 
             matrix.Negate(copy);
@@ -622,8 +623,8 @@ namespace MathNet.Numerics.UnitTests.LinearAlgebraTests.Double
         [ExpectedArgumentNullException]
         public void NegateIntoResultFailsWhenResultIsNull()
         {
-            var matrix = this.TestMatrices["Singular3x3"];
+            var matrix = TestMatrices["Singular3x3"];
-            Matrix copy = null;
+            Matrix<double> copy = null;
             matrix.Negate(copy);
         }
 
@@ -631,8 +632,8 @@ namespace MathNet.Numerics.UnitTests.LinearAlgebraTests.Double
         [ExpectedArgumentException]
         public void NegateIntoResultFailsWhenResultHasMoreRows()
         {
-            var matrix = this.TestMatrices["Singular3x3"];
+            var matrix = TestMatrices["Singular3x3"];
-            var target = this.CreateMatrix(matrix.RowCount + 1, matrix.ColumnCount);
+            var target = CreateMatrix(matrix.RowCount + 1, matrix.ColumnCount);
             matrix.Negate(target);
         }
 
@@ -640,8 +641,8 @@ namespace MathNet.Numerics.UnitTests.LinearAlgebraTests.Double
         [ExpectedArgumentException]
         public void NegateIntoResultFailsWhenResultHasMoreColumns()
         {
-            var matrix = this.TestMatrices["Singular3x3"];
+            var matrix = TestMatrices["Singular3x3"];
-            var target = this.CreateMatrix(matrix.RowCount + 1, matrix.ColumnCount);
+            var target = CreateMatrix(matrix.RowCount + 1, matrix.ColumnCount);
             matrix.Negate(target);
         }
 
@@ -649,9 +650,9 @@ namespace MathNet.Numerics.UnitTests.LinearAlgebraTests.Double
         [Test]
         public void KroneckerProduct()
         {
-            var A = this.TestMatrices["Wide2x3"];
+            var A = TestMatrices["Wide2x3"];
-            var B = this.TestMatrices["Square3x3"];
+            var B = TestMatrices["Square3x3"];
-            var result = this.CreateMatrix(A.RowCount * B.RowCount, A.ColumnCount * B.ColumnCount);
+            var result = CreateMatrix(A.RowCount * B.RowCount, A.ColumnCount * B.ColumnCount);
             A.KroneckerProduct(B, result);
             for (var i = 0; i < A.RowCount; i++)
             {
@@ -671,8 +672,8 @@ namespace MathNet.Numerics.UnitTests.LinearAlgebraTests.Double
         [Test]
         public void KroneckerProductResult()
         {
-            var A = this.TestMatrices["Wide2x3"];
+            var A = TestMatrices["Wide2x3"];
-            var B = this.TestMatrices["Square3x3"];
+            var B = TestMatrices["Square3x3"];
             var result = A.KroneckerProduct(B);
             for (var i = 0; i < A.RowCount; i++)
             {
@@ -695,7 +696,7 @@ namespace MathNet.Numerics.UnitTests.LinearAlgebraTests.Double
         [Row(-4, ExpectedException = typeof(ArgumentOutOfRangeException))]
         public void NormalizeColumns(int pValue)
         {
-            var matrix = this.TestMatrices["Square4x4"];
+            var matrix = TestMatrices["Square4x4"];
             var result = matrix.NormalizeColumns(pValue);
             for (var j = 0; j < result.ColumnCount; j++)
             {
@@ -710,7 +711,7 @@ namespace MathNet.Numerics.UnitTests.LinearAlgebraTests.Double
         [Row(-3, ExpectedException = typeof(ArgumentOutOfRangeException))]
         public void NormalizeRows(int pValue)
         {
-            var matrix = this.TestMatrices["Square4x4"].NormalizeRows(pValue);
+            var matrix = TestMatrices["Square4x4"].NormalizeRows(pValue);
             for (var i = 0; i < matrix.RowCount; i++)
             {
                 var row = matrix.Row(i);
@@ -721,7 +722,7 @@ namespace MathNet.Numerics.UnitTests.LinearAlgebraTests.Double
         [Test]
         public void PointwiseMultiplyResult()
         {
-            foreach (var  data in this.TestMatrices.Values)
+            foreach (var  data in TestMatrices.Values)
             {
                 var other = data.Clone();
                 var result = data.Clone();
@@ -749,8 +750,8 @@ namespace MathNet.Numerics.UnitTests.LinearAlgebraTests.Double
         [ExpectedException(typeof(ArgumentNullException))]
         public void PointwiseMultiplyWithNullOtherShouldThrowException()
         {
-            var matrix = this.TestMatrices["Wide2x3"];
+            var matrix = TestMatrices["Wide2x3"];
-            Matrix other = null;
+            Matrix<double> other = null;
             var result = matrix.Clone();
             matrix.PointwiseMultiply(other, result);
         }
@@ -759,7 +760,7 @@ namespace MathNet.Numerics.UnitTests.LinearAlgebraTests.Double
         [ExpectedException(typeof(ArgumentNullException))]
         public void PointwiseMultiplyWithResultNullShouldThrowException()
         {
-            var matrix = this.TestMatrices["Wide2x3"];
+            var matrix = TestMatrices["Wide2x3"];
             var other = matrix.Clone();
             matrix.PointwiseMultiply(other, null);
         }
@@ -768,8 +769,8 @@ namespace MathNet.Numerics.UnitTests.LinearAlgebraTests.Double
         [ExpectedException(typeof(ArgumentException))]
         public void PointwiseMultiplyWithInvalidOtherMatrixDimensionsShouldThrowException()
         {
-            var matrix = this.TestMatrices["Wide2x3"];
+            var matrix = TestMatrices["Wide2x3"];
-            var other = this.CreateMatrix(matrix.RowCount + 1, matrix.ColumnCount);
+            var other = CreateMatrix(matrix.RowCount + 1, matrix.ColumnCount);
             var result = matrix.Clone();
             matrix.PointwiseMultiply(other, result);
         }
@@ -778,16 +779,16 @@ namespace MathNet.Numerics.UnitTests.LinearAlgebraTests.Double
         [ExpectedException(typeof(ArgumentException))]
         public void PointwiseMultiplyWithInvalidResultMatrixDimensionsShouldThrowException()
         {
-            var matrix = this.TestMatrices["Wide2x3"];
+            var matrix = TestMatrices["Wide2x3"];
             var other = matrix.Clone();
-            var result = this.CreateMatrix(matrix.RowCount + 1, matrix.ColumnCount);
+            var result = CreateMatrix(matrix.RowCount + 1, matrix.ColumnCount);
             matrix.PointwiseMultiply(other, result);
         }
 
         [Test]
         public virtual void PointwiseDivideResult()
         {
-            foreach (var  data in this.TestMatrices.Values)
+            foreach (var  data in TestMatrices.Values)
             {
                 var other = data.Clone();
                 var result = data.Clone();
@@ -815,8 +816,8 @@ namespace MathNet.Numerics.UnitTests.LinearAlgebraTests.Double
         [ExpectedException(typeof(ArgumentNullException))]
         public void PointwiseDivideWithNullOtherShouldThrowException()
         {
-            var matrix = this.TestMatrices["Wide2x3"];
+            var matrix = TestMatrices["Wide2x3"];
-            Matrix other = null;
+            Matrix<double> other = null;
             var result = matrix.Clone();
             matrix.PointwiseDivide(other, result);
         }
@@ -825,7 +826,7 @@ namespace MathNet.Numerics.UnitTests.LinearAlgebraTests.Double
         [ExpectedException(typeof(ArgumentNullException))]
         public void PointwiseDivideWithResultNullShouldThrowException()
         {
-            var matrix = this.TestMatrices["Wide2x3"];
+            var matrix = TestMatrices["Wide2x3"];
             var other = matrix.Clone();
             matrix.PointwiseDivide(other, null);
         }
@@ -834,8 +835,8 @@ namespace MathNet.Numerics.UnitTests.LinearAlgebraTests.Double
         [ExpectedException(typeof(ArgumentException))]
         public void PointwiseDivideWithInvalidOtherMatrixDimensionsShouldThrowException()
         {
-            var matrix = this.TestMatrices["Wide2x3"];
+            var matrix = TestMatrices["Wide2x3"];
-            var other = this.CreateMatrix(matrix.RowCount + 1, matrix.ColumnCount);
+            var other = CreateMatrix(matrix.RowCount + 1, matrix.ColumnCount);
             var result = matrix.Clone();
             matrix.PointwiseDivide(other, result);
         }
@@ -844,9 +845,9 @@ namespace MathNet.Numerics.UnitTests.LinearAlgebraTests.Double
         [ExpectedException(typeof(ArgumentException))]
         public void PointwiseDivideWithInvalidResultMatrixDimensionsShouldThrowException()
         {
-            var matrix = this.TestMatrices["Wide2x3"];
+            var matrix = TestMatrices["Wide2x3"];
             var other = matrix.Clone();
-            var result = this.CreateMatrix(matrix.RowCount + 1, matrix.ColumnCount);
+            var result = CreateMatrix(matrix.RowCount + 1, matrix.ColumnCount);
             matrix.PointwiseDivide(other, result);
         }
 
@@ -855,7 +856,7 @@ namespace MathNet.Numerics.UnitTests.LinearAlgebraTests.Double
         [Row(-2, ExpectedException = typeof(ArgumentException))]
         public void RandomWithNonPositiveNumberOfRowsShouldThrowException(int numberOfRows)
         {
-            var matrix = this.CreateMatrix(2, 3);
+            var matrix = CreateMatrix(2, 3);
             matrix = matrix.Random(numberOfRows, 4, new ContinuousUniform());
         }
 
@@ -864,14 +865,14 @@ namespace MathNet.Numerics.UnitTests.LinearAlgebraTests.Double
         [Row(-2, ExpectedException = typeof(ArgumentException))]
         public void RandomWithNonPositiveNumberOfRowsShouldThrowException2(int numberOfRows)
         {
-            var matrix = this.CreateMatrix(2, 3);
+            var matrix = CreateMatrix(2, 3);
             matrix = matrix.Random(numberOfRows, 4, new DiscreteUniform(0, 2));
         }
 
         [Test]
         public void Trace()
         {
-            var matrix = this.TestMatrices["Square3x3"];
+            var matrix = TestMatrices["Square3x3"];
             var trace = matrix.Trace();
             Assert.AreEqual(6.6, trace);
         }
@@ -880,7 +881,7 @@ namespace MathNet.Numerics.UnitTests.LinearAlgebraTests.Double
         [ExpectedArgumentException]
         public void TraceOfNonSquareMatrixShouldThrowException()
         {
-            var matrix = this.TestMatrices["Wide2x3"];
+            var matrix = TestMatrices["Wide2x3"];
             var trace = matrix.Trace();
         }
     }

src/UnitTests/LinearAlgebraTests/Double/MatrixTests.cs

@@ -27,7 +27,7 @@
 namespace MathNet.Numerics.UnitTests.LinearAlgebraTests.Double
 {
     using System;
-    using LinearAlgebra.Double;
+    using LinearAlgebra.Generic;
     using MbUnit.Framework;
 
     [TestFixture]
@@ -42,7 +42,7 @@ namespace MathNet.Numerics.UnitTests.LinearAlgebraTests.Double
         [MultipleAsserts]
         public void CanCloneMatrix(string name)
         {
-            var matrix = this.CreateMatrix(this.TestData2D[name]);
+            var matrix = CreateMatrix(TestData2D[name]);
             var clone = matrix.Clone();
 
             Assert.AreNotSame(matrix, clone);
@@ -66,8 +66,8 @@ namespace MathNet.Numerics.UnitTests.LinearAlgebraTests.Double
         [MultipleAsserts]
         public void CanCloneMatrixUsingICloneable(string name)
         {
-            var matrix = this.TestMatrices[name];
+            var matrix = TestMatrices[name];
-            var clone = (Matrix)((ICloneable)matrix).Clone();
+            var clone = (Matrix<double>)((ICloneable)matrix).Clone();
 
             Assert.AreNotSame(matrix, clone);
             Assert.AreEqual(matrix.RowCount, clone.RowCount);
@@ -90,8 +90,8 @@ namespace MathNet.Numerics.UnitTests.LinearAlgebraTests.Double
         [MultipleAsserts]
         public void CanCopyTo(string name)
         {
-            var matrix = this.TestMatrices[name];
+            var matrix = TestMatrices[name];
-            var copy = this.CreateMatrix(matrix.RowCount, matrix.ColumnCount);
+            var copy = CreateMatrix(matrix.RowCount, matrix.ColumnCount);
             matrix.CopyTo(copy);
 
             Assert.AreNotSame(matrix, copy);
@@ -108,8 +108,8 @@ namespace MathNet.Numerics.UnitTests.LinearAlgebraTests.Double
         [ExpectedArgumentNullException]
         public void CopyToFailsWhenTargetIsNull()
         {
-            var matrix = this.TestMatrices["Singular3x3"];
+            var matrix = TestMatrices["Singular3x3"];
-            Matrix target = null;
+            Matrix<double> target = null;
             matrix.CopyTo(target);
         }
 
@@ -117,8 +117,8 @@ namespace MathNet.Numerics.UnitTests.LinearAlgebraTests.Double
         [ExpectedArgumentException]
         public void CopyToFailsWhenTargetHasMoreRows()
         {
-            var matrix = this.TestMatrices["Singular3x3"];
+            var matrix = TestMatrices["Singular3x3"];
-            var target = this.CreateMatrix(matrix.RowCount + 1, matrix.ColumnCount);
+            var target = CreateMatrix(matrix.RowCount + 1, matrix.ColumnCount);
             matrix.CopyTo(target);
         }
 
@@ -126,8 +126,8 @@ namespace MathNet.Numerics.UnitTests.LinearAlgebraTests.Double
         [ExpectedArgumentException]
         public void CopyToFailsWhenTargetHasMoreColumns()
         {
-            var matrix = this.TestMatrices["Singular3x3"];
+            var matrix = TestMatrices["Singular3x3"];
-            var target = this.CreateMatrix(matrix.RowCount + 1, matrix.ColumnCount);
+            var target = CreateMatrix(matrix.RowCount + 1, matrix.ColumnCount);
             matrix.CopyTo(target);
         }
 
@@ -140,7 +140,7 @@ namespace MathNet.Numerics.UnitTests.LinearAlgebraTests.Double
         [Test]
         public void CanCreateMatrix()
         {
-            var expected = this.CreateMatrix(5, 6);
+            var expected = CreateMatrix(5, 6);
             var actual = expected.CreateMatrix(5, 6);
             Assert.AreEqual(expected.GetType(), actual.GetType(), "Matrices are same type.");
         }
@@ -154,9 +154,9 @@ namespace MathNet.Numerics.UnitTests.LinearAlgebraTests.Double
         [MultipleAsserts]
         public void CanEquateMatrices(string name)
         {
-            var matrix1 = this.CreateMatrix(this.TestData2D[name]);
+            var matrix1 = CreateMatrix(TestData2D[name]);
-            var matrix2 = this.CreateMatrix(this.TestData2D[name]);
+            var matrix2 = CreateMatrix(TestData2D[name]);
-            var matrix3 = this.CreateMatrix(this.TestData2D[name].GetLength(0), this.TestData2D[name].GetLength(1));
+            var matrix3 = CreateMatrix(TestData2D[name].GetLength(0), TestData2D[name].GetLength(1));
             Assert.IsTrue(matrix1.Equals(matrix1));
             Assert.IsTrue(matrix1.Equals(matrix2));
             Assert.IsFalse(matrix1.Equals(matrix3));
@@ -172,7 +172,7 @@ namespace MathNet.Numerics.UnitTests.LinearAlgebraTests.Double
         [ExpectedArgumentOutOfRangeException]
         public void ThrowsArgumentExceptionIfSizeIsNotPositive(int rows, int columns)
         {
-            var A = this.CreateMatrix(rows, columns);
+            var A = CreateMatrix(rows, columns);
         }
 
         [Test]
@@ -183,7 +183,7 @@ namespace MathNet.Numerics.UnitTests.LinearAlgebraTests.Double
         [Row("Wide2x3")]
         public void TestingForEqualityWithNonMatrixReturnsFalse(string name)
         {
-            var matrix = this.CreateMatrix(this.TestData2D[name]);
+            var matrix = CreateMatrix(TestData2D[name]);
             Assert.IsFalse(matrix.Equals(2));
         }
 
@@ -195,8 +195,8 @@ namespace MathNet.Numerics.UnitTests.LinearAlgebraTests.Double
         [Row("Wide2x3")]
         public void CanTestForEqualityUsingObjectEquals(string name)
         {
-            var matrix1 = this.CreateMatrix(this.TestData2D[name]);
+            var matrix1 = CreateMatrix(TestData2D[name]);
-            var matrix2 = this.CreateMatrix(this.TestData2D[name]);
+            var matrix2 = CreateMatrix(TestData2D[name]);
             Assert.IsTrue(matrix1.Equals((object)matrix2));
         }
 
@@ -207,7 +207,7 @@ namespace MathNet.Numerics.UnitTests.LinearAlgebraTests.Double
         [ExpectedException(typeof(ArgumentOutOfRangeException))]
         public void RangeCheckFails(int i, int j, string name)
         {
-            var d = this.TestMatrices[name][i, j];
+            var d = TestMatrices[name][i, j];
         }
 
         [Test]
@@ -219,7 +219,7 @@ namespace MathNet.Numerics.UnitTests.LinearAlgebraTests.Double
         [Test]
         public void CanClearMatrix()
         {
-            var matrix = this.TestMatrices["Singular3x3"].Clone();
+            var matrix = TestMatrices["Singular3x3"].Clone();
             matrix.Clear();
             for (var i = 0; i < matrix.RowCount; i++)
             {
@@ -237,7 +237,7 @@ namespace MathNet.Numerics.UnitTests.LinearAlgebraTests.Double
         [Row(2, "Square3x3")]
         public void CanGetRow(int rowIndex, string name)
         {
-            var matrix = this.TestMatrices[name];
+            var matrix = TestMatrices[name];
             var row = matrix.Row(rowIndex);
 
             Assert.AreEqual(matrix.ColumnCount, row.Count);
@@ -251,7 +251,7 @@ namespace MathNet.Numerics.UnitTests.LinearAlgebraTests.Double
         [ExpectedException(typeof(ArgumentOutOfRangeException))]
         public void GetRowThrowsArgumentOutOfRangeWithNegativeIndex()
         {
-            var matrix = this.TestMatrices["Singular3x3"];
+            var matrix = TestMatrices["Singular3x3"];
             matrix.Row(-1);
         }
 
@@ -259,7 +259,7 @@ namespace MathNet.Numerics.UnitTests.LinearAlgebraTests.Double
         [ExpectedException(typeof(ArgumentOutOfRangeException))]
         public void GetRowThrowsArgumentOutOfRangeWithOverflowingRowIndex()
         {
-            var matrix = this.TestMatrices["Singular3x3"];
+            var matrix = TestMatrices["Singular3x3"];
             matrix.Row(matrix.RowCount);
         }
 
@@ -270,7 +270,7 @@ namespace MathNet.Numerics.UnitTests.LinearAlgebraTests.Double
         [Row(2, "Square3x3")]
         public void CanGetRowWithResult(int rowIndex, string name)
         {
-            var matrix = this.TestMatrices[name];
+            var matrix = TestMatrices[name];
             var row = CreateVector(matrix.ColumnCount);
             matrix.Row(rowIndex, row);
 
@@ -285,7 +285,7 @@ namespace MathNet.Numerics.UnitTests.LinearAlgebraTests.Double
         [ExpectedException(typeof(ArgumentNullException))]
         public void GetRowWithResultFailsWhenResultIsNull()
         {
-            var matrix = this.TestMatrices["Singular3x3"];
+            var matrix = TestMatrices["Singular3x3"];
             matrix.Row(0, null);
         }
 
@@ -293,7 +293,7 @@ namespace MathNet.Numerics.UnitTests.LinearAlgebraTests.Double
         [ExpectedException(typeof(ArgumentOutOfRangeException))]
         public void GetRowWithResultThrowsArgumentOutOfRangeWithNegativeIndex()
         {
-            var matrix = this.TestMatrices["Singular3x3"];
+            var matrix = TestMatrices["Singular3x3"];
             var row = CreateVector(matrix.ColumnCount);
             matrix.Row(-1, row);
         }
@@ -302,7 +302,7 @@ namespace MathNet.Numerics.UnitTests.LinearAlgebraTests.Double
         [ExpectedException(typeof(ArgumentOutOfRangeException))]
         public void GetRowWithResultThrowsArgumentOutOfRangeWithOverflowingRowIndex()
         {
-            var matrix = this.TestMatrices["Singular3x3"];
+            var matrix = TestMatrices["Singular3x3"];
             var row = CreateVector(matrix.ColumnCount);
             matrix.Row(matrix.RowCount, row);
         }
@@ -314,7 +314,7 @@ namespace MathNet.Numerics.UnitTests.LinearAlgebraTests.Double
         [Row(2, 0, 3, "Square3x3")]
         public void CanGetRowWithRange(int rowIndex, int start, int length, string name)
         {
-            var matrix = this.TestMatrices[name];
+            var matrix = TestMatrices[name];
             var row = matrix.Row(rowIndex, start, length);
 
             Assert.AreEqual(length, row.Count);
@@ -328,7 +328,7 @@ namespace MathNet.Numerics.UnitTests.LinearAlgebraTests.Double
         [ExpectedException(typeof(ArgumentException))]
         public void GetRowWithRangeResultArgumentExeptionWhenLengthIsZero()
         {
-            var matrix = this.TestMatrices["Singular3x3"];
+            var matrix = TestMatrices["Singular3x3"];
             var result = CreateVector(matrix.ColumnCount);
             matrix.Row(0, 0, 0, result);
         }
@@ -337,8 +337,8 @@ namespace MathNet.Numerics.UnitTests.LinearAlgebraTests.Double
         [ExpectedException(typeof(ArgumentException))]
         public void GetRowWithRangeFailsWithTooSmallResultVector()
         {
-            var matrix = this.TestMatrices["Singular3x3"];
+            var matrix = TestMatrices["Singular3x3"];
-            var result = this.CreateVector(matrix.ColumnCount - 1);
+            var result = CreateVector(matrix.ColumnCount - 1);
             matrix.Row(0, 0, 0, result);
         }
 
@@ -349,7 +349,7 @@ namespace MathNet.Numerics.UnitTests.LinearAlgebraTests.Double
         [Row(2, "Square3x3")]
         public void CanGetColumn(int colIndex, string name)
         {
-            var matrix = this.TestMatrices[name];
+            var matrix = TestMatrices[name];
             var col = matrix.Column(colIndex);
 
             Assert.AreEqual(matrix.RowCount, col.Count);
@@ -363,7 +363,7 @@ namespace MathNet.Numerics.UnitTests.LinearAlgebraTests.Double
         [ExpectedException(typeof(ArgumentOutOfRangeException))]
         public void GetColumnThrowsArgumentOutOfRangeWithNegativeIndex()
         {
-            var matrix = this.TestMatrices["Singular3x3"];
+            var matrix = TestMatrices["Singular3x3"];
             matrix.Column(-1);
         }
 
@@ -371,7 +371,7 @@ namespace MathNet.Numerics.UnitTests.LinearAlgebraTests.Double
         [ExpectedException(typeof(ArgumentOutOfRangeException))]
         public void GetColumnThrowsArgumentOutOfRangeWithOverflowingRowIndex()
         {
-            var matrix = this.TestMatrices["Singular3x3"];
+            var matrix = TestMatrices["Singular3x3"];
             matrix.Column(matrix.ColumnCount);
         }
 
@@ -382,7 +382,7 @@ namespace MathNet.Numerics.UnitTests.LinearAlgebraTests.Double
         [Row(2, "Square3x3")]
         public void CanGetColumnWithResult(int colIndex, string name)
         {
-            var matrix = this.TestMatrices[name];
+            var matrix = TestMatrices[name];
             var col = CreateVector(matrix.RowCount);
             matrix.Column(colIndex, col);
 
@@ -397,7 +397,7 @@ namespace MathNet.Numerics.UnitTests.LinearAlgebraTests.Double
         [ExpectedException(typeof(ArgumentNullException))]
         public void GetColumnFailsWhenResultIsNull()
         {
-            var matrix = this.TestMatrices["Singular3x3"];
+            var matrix = TestMatrices["Singular3x3"];
             matrix.Column(0, null);
         }
 
@@ -405,7 +405,7 @@ namespace MathNet.Numerics.UnitTests.LinearAlgebraTests.Double
         [ExpectedException(typeof(ArgumentOutOfRangeException))]
         public void GetColumnWithResultThrowsArgumentOutOfRangeWithNegativeIndex()
         {
-            var matrix = this.TestMatrices["Singular3x3"];
+            var matrix = TestMatrices["Singular3x3"];
             var column = CreateVector(matrix.ColumnCount);
             matrix.Column(-1, column);
         }
@@ -414,7 +414,7 @@ namespace MathNet.Numerics.UnitTests.LinearAlgebraTests.Double
         [ExpectedException(typeof(ArgumentOutOfRangeException))]
         public void GetColumnWithResultThrowsArgumentOutOfRangeWithOverflowingRowIndex()
         {
-            var matrix = this.TestMatrices["Singular3x3"];
+            var matrix = TestMatrices["Singular3x3"];
             var column = CreateVector(matrix.RowCount);
             matrix.Row(matrix.ColumnCount, column);
         }
@@ -426,7 +426,7 @@ namespace MathNet.Numerics.UnitTests.LinearAlgebraTests.Double
         [Row(2, 0, 3, "Square3x3")]
         public void CanGetColumnWithRange(int colIndex, int start, int length, string name)
         {
-            var matrix = this.TestMatrices[name];
+            var matrix = TestMatrices[name];
             var col = matrix.Column(colIndex, start, length);
 
             Assert.AreEqual(length, col.Count);
@@ -440,7 +440,7 @@ namespace MathNet.Numerics.UnitTests.LinearAlgebraTests.Double
         [ExpectedException(typeof(ArgumentException))]
         public void GetColumnWithRangeResultArgumentExeptionWhenLengthIsZero()
         {
-            var matrix = this.TestMatrices["Singular3x3"];
+            var matrix = TestMatrices["Singular3x3"];
             var col = CreateVector(matrix.RowCount);
             matrix.Column(0, 0, 0, col);
         }
@@ -449,8 +449,8 @@ namespace MathNet.Numerics.UnitTests.LinearAlgebraTests.Double
         [ExpectedException(typeof(ArgumentException))]
         public void GetColumnWithRangeFailsWithTooSmallResultVector()
         {
-            var matrix = this.TestMatrices["Singular3x3"];
+            var matrix = TestMatrices["Singular3x3"];
-            var result = this.CreateVector(matrix.RowCount - 1);
+            var result = CreateVector(matrix.RowCount - 1);
             matrix.Column(0, 0, matrix.RowCount, result);
         }
 
@@ -461,7 +461,7 @@ namespace MathNet.Numerics.UnitTests.LinearAlgebraTests.Double
         [Row(2, "Square3x3")]
         public void CanSetRow(int rowIndex, string name)
         {
-            var matrix = this.TestMatrices[name].Clone();
+            var matrix = TestMatrices[name].Clone();
             matrix.SetRow(rowIndex, CreateVector(matrix.ColumnCount));
 
             for (var i = 0; i < matrix.RowCount; i++)
@@ -474,7 +474,7 @@ namespace MathNet.Numerics.UnitTests.LinearAlgebraTests.Double
                     }
                     else
                     {
-                        Assert.AreEqual(this.TestMatrices[name][i, j], matrix[i, j]);
+                        Assert.AreEqual(TestMatrices[name][i, j], matrix[i, j]);
                     }
                 }
             }
@@ -487,7 +487,7 @@ namespace MathNet.Numerics.UnitTests.LinearAlgebraTests.Double
         [Row(2, "Square3x3")]
         public void CanSetColumn(int colIndex, string name)
         {
-            var matrix = this.TestMatrices[name].Clone();
+            var matrix = TestMatrices[name].Clone();
             matrix.SetColumn(colIndex, CreateVector(matrix.ColumnCount));
 
             for (var i = 0; i < matrix.RowCount; i++)
@@ -500,7 +500,7 @@ namespace MathNet.Numerics.UnitTests.LinearAlgebraTests.Double
                     }
                     else
                     {
-                        Assert.AreEqual(this.TestMatrices[name][i, j], matrix[i, j]);
+                        Assert.AreEqual(TestMatrices[name][i, j], matrix[i, j]);
                     }
                 }
             }
@@ -515,8 +515,8 @@ namespace MathNet.Numerics.UnitTests.LinearAlgebraTests.Double
         [MultipleAsserts]
         public void UpperTriangleResult(string name)
         {
-            var data = this.TestMatrices[name];
+            var data = TestMatrices[name];
-            var result = this.CreateMatrix(data.RowCount, data.ColumnCount);
+            var result = CreateMatrix(data.RowCount, data.ColumnCount);
             var lower = data.UpperTriangle();
             for (var i = 0; i < data.RowCount; i++)
             {
@@ -539,8 +539,8 @@ namespace MathNet.Numerics.UnitTests.LinearAlgebraTests.Double
         [ExpectedArgumentNullException]
         public void UpperTriangleWithResultNullShouldThrowException()
         {
-            var data = this.TestMatrices["Square3x3"];
+            var data = TestMatrices["Square3x3"];
-            Matrix result = null;
+            Matrix<double> result = null;
             data.UpperTriangle(result);
         }
 
@@ -548,8 +548,8 @@ namespace MathNet.Numerics.UnitTests.LinearAlgebraTests.Double
         [ExpectedArgumentException]
         public void UpperTriangleWithUnEqualRowsShouldThrowException()
         {
-            var data = this.TestMatrices["Square3x3"];
+            var data = TestMatrices["Square3x3"];
-            var result = this.CreateMatrix(data.RowCount + 1, data.ColumnCount);
+            var result = CreateMatrix(data.RowCount + 1, data.ColumnCount);
             data.UpperTriangle(result);
         }
 
@@ -557,15 +557,15 @@ namespace MathNet.Numerics.UnitTests.LinearAlgebraTests.Double
         [ExpectedArgumentException]
         public void UpperTriangleWithUnEqualColumnsShouldThrowException()
         {
-            var data = this.TestMatrices["Square3x3"];
+            var data = TestMatrices["Square3x3"];
-            var result = this.CreateMatrix(data.RowCount, data.ColumnCount + 1);
+            var result = CreateMatrix(data.RowCount, data.ColumnCount + 1);
             data.UpperTriangle(result);
         }
 
         [Test]
         public void StrictlyLowerTriangle()
         {
-            foreach (var data in this.TestMatrices.Values)
+            foreach (var data in TestMatrices.Values)
             {
                 var lower = data.StrictlyLowerTriangle();
                 for (var i = 0; i < data.RowCount; i++)
@@ -588,9 +588,9 @@ namespace MathNet.Numerics.UnitTests.LinearAlgebraTests.Double
         [Test]
         public void StrictlyLowerTriangleResult()
         {
-            foreach (var data in this.TestMatrices.Values)
+            foreach (var data in TestMatrices.Values)
             {
-                var lower = this.CreateMatrix(data.RowCount, data.ColumnCount);
+                var lower = CreateMatrix(data.RowCount, data.ColumnCount);
                 data.StrictlyLowerTriangle(lower);
                 for (var i = 0; i < data.RowCount; i++)
                 {
@@ -613,8 +613,8 @@ namespace MathNet.Numerics.UnitTests.LinearAlgebraTests.Double
         [ExpectedArgumentNullException]
         public void StrictlyLowerTriangleWithNullParameterShouldThrowException()
         {
-            var data = this.TestMatrices["Square3x3"];
+            var data = TestMatrices["Square3x3"];
-            Matrix lower = null;
+            Matrix<double> lower = null;
             data.StrictlyLowerTriangle(lower);
         }
 
@@ -622,8 +622,8 @@ namespace MathNet.Numerics.UnitTests.LinearAlgebraTests.Double
         [ExpectedArgumentException]
         public void StrictlyLowerTriangleWithInvalidColumnNumberShouldThrowException()
         {
-            var data = this.TestMatrices["Square3x3"];
+            var data = TestMatrices["Square3x3"];
-            var lower = this.CreateMatrix(data.RowCount, data.ColumnCount + 1);
+            var lower = CreateMatrix(data.RowCount, data.ColumnCount + 1);
             data.StrictlyLowerTriangle(lower);
         }
 
@@ -631,8 +631,8 @@ namespace MathNet.Numerics.UnitTests.LinearAlgebraTests.Double
         [ExpectedArgumentException]
         public void StrictlyLowerTriangleWithInvalidRowNumberShouldThrowException()
         {
-            var data = this.TestMatrices["Square3x3"];
+            var data = TestMatrices["Square3x3"];
-            var lower = this.CreateMatrix(data.RowCount + 1, data.ColumnCount);
+            var lower = CreateMatrix(data.RowCount + 1, data.ColumnCount);
             data.StrictlyLowerTriangle(lower);
         }
 
@@ -640,7 +640,7 @@ namespace MathNet.Numerics.UnitTests.LinearAlgebraTests.Double
         [Test]
         public void StrictlyUpperTriangle()
         {
-            foreach (var data in this.TestMatrices.Values)
+            foreach (var data in TestMatrices.Values)
             {
                 var lower = data.StrictlyUpperTriangle();
                 for (var i = 0; i < data.RowCount; i++)
@@ -663,9 +663,9 @@ namespace MathNet.Numerics.UnitTests.LinearAlgebraTests.Double
         [Test]
         public void StrictlyUpperTriangleResult()
         {
-            foreach (var data in this.TestMatrices.Values)
+            foreach (var data in TestMatrices.Values)
             {
-                var lower = this.CreateMatrix(data.RowCount, data.ColumnCount);
+                var lower = CreateMatrix(data.RowCount, data.ColumnCount);
                 data.StrictlyUpperTriangle(lower);
                 for (var i = 0; i < data.RowCount; i++)
                 {
@@ -688,8 +688,8 @@ namespace MathNet.Numerics.UnitTests.LinearAlgebraTests.Double
         [ExpectedArgumentNullException]
         public void StrictlyUpperTriangleWithNullParameterShouldThrowException()
         {
-            var data = this.TestMatrices["Square3x3"];
+            var data = TestMatrices["Square3x3"];
-            Matrix lower = null;
+            Matrix<double> lower = null;
             data.StrictlyUpperTriangle(lower);
         }
 
@@ -697,8 +697,8 @@ namespace MathNet.Numerics.UnitTests.LinearAlgebraTests.Double
         [ExpectedArgumentException]
         public void StrictlyUpperTriangleWithInvalidColumnNumberShouldThrowException()
         {
-            var data = this.TestMatrices["Square3x3"];
+            var data = TestMatrices["Square3x3"];
-            var lower = this.CreateMatrix(data.RowCount, data.ColumnCount + 1);
+            var lower = CreateMatrix(data.RowCount, data.ColumnCount + 1);
             data.StrictlyUpperTriangle(lower);
         }
 
@@ -706,8 +706,8 @@ namespace MathNet.Numerics.UnitTests.LinearAlgebraTests.Double
         [ExpectedArgumentException]
         public void StrictlyUpperTriangleWithInvalidRowNumberShouldThrowException()
         {
-            var data = this.TestMatrices["Square3x3"];
+            var data = TestMatrices["Square3x3"];
-            var lower = this.CreateMatrix(data.RowCount + 1, data.ColumnCount);
+            var lower = CreateMatrix(data.RowCount + 1, data.ColumnCount);
             data.StrictlyUpperTriangle(lower);
         }
 
@@ -720,7 +720,7 @@ namespace MathNet.Numerics.UnitTests.LinearAlgebraTests.Double
         [MultipleAsserts]
         public void CanTransposeMatrix(string name)
         {
-            var matrix = this.CreateMatrix(this.TestData2D[name]);
+            var matrix = CreateMatrix(TestData2D[name]);
             var transpose = matrix.Transpose();
 
             Assert.AreNotSame(matrix, transpose);
@@ -744,7 +744,7 @@ namespace MathNet.Numerics.UnitTests.LinearAlgebraTests.Double
         [Row("Singular3x3", new double[] { 1, 2, 3, 4, 5 }, ExpectedException = typeof(ArgumentException))]
         public virtual void SetColumnWithArray(string name, double[] column)
         {
-            var matrix = this.TestMatrices[name];
+            var matrix = TestMatrices[name];
             for (var i = 0; i < matrix.ColumnCount; i++)
             {
                 matrix.SetColumn(i, column);
@@ -759,7 +759,7 @@ namespace MathNet.Numerics.UnitTests.LinearAlgebraTests.Double
         [ExpectedArgumentOutOfRangeException]
         public void SetColumnArrayWithInvalidColumnIndexShouldThrowException()
         {
-            var matrix = this.TestMatrices["Square3x3"];
+            var matrix = TestMatrices["Square3x3"];
             double[] column = { 1, 2, 3 };
             matrix.SetColumn(-1, column);
         }
@@ -768,7 +768,7 @@ namespace MathNet.Numerics.UnitTests.LinearAlgebraTests.Double
         [ExpectedArgumentOutOfRangeException]
         public void SetColumnArrayWithInvalidColumnIndexShouldThrowException2()
         {
-            var matrix = this.TestMatrices["Square3x3"];
+            var matrix = TestMatrices["Square3x3"];
             double[] column = { 1, 2, 3 };
             matrix.SetColumn(matrix.ColumnCount + 1, column);
         }
@@ -781,7 +781,7 @@ namespace MathNet.Numerics.UnitTests.LinearAlgebraTests.Double
         [Row("Singular3x3", new double[] { 1, 2, 3, 4, 5 }, ExpectedException = typeof(ArgumentException))]
         public virtual void SetColumnWithVector(string name, double[] column)
         {
-            var matrix = this.TestMatrices[name];
+            var matrix = TestMatrices[name];
             var columnVector = CreateVector(column);
             for (var i = 0; i < matrix.ColumnCount; i++)
             {
@@ -797,8 +797,8 @@ namespace MathNet.Numerics.UnitTests.LinearAlgebraTests.Double
         [ExpectedArgumentNullException]
         public void SetColumnWithNullVectorShouldThrowException()
         {
-            var matrix = this.TestMatrices["Square3x3"];
+            var matrix = TestMatrices["Square3x3"];
-            Vector columnVector = null;
+            Vector<double> columnVector = null;
             matrix.SetColumn(1, columnVector);
         }
 
@@ -806,8 +806,8 @@ namespace MathNet.Numerics.UnitTests.LinearAlgebraTests.Double
         [ExpectedArgumentOutOfRangeException]
         public void SetColumnVectorWithInvalidColumnIndexShouldThrowException()
         {
-            var matrix = this.TestMatrices["Square3x3"];
+            var matrix = TestMatrices["Square3x3"];
-            var column = this.CreateVector(new double[] { 1, 2, 3 });
+            var column = CreateVector(new double[] { 1, 2, 3 });
             matrix.SetColumn(-1, column);
         }
 
@@ -815,15 +815,15 @@ namespace MathNet.Numerics.UnitTests.LinearAlgebraTests.Double
         [ExpectedArgumentOutOfRangeException]
         public void SetColumnVectorWithInvalidColumnIndexShouldThrowException2()
         {
-            var matrix = this.TestMatrices["Square3x3"];
+            var matrix = TestMatrices["Square3x3"];
-            var column = this.CreateVector(new double[] { 1, 2, 3 });
+            var column = CreateVector(new double[] { 1, 2, 3 });
             matrix.SetColumn(matrix.ColumnCount + 1, column);
         }
 
         [Test]
         public void InsertColumn()
         {
-            var matrix = this.CreateMatrix(3, 3);
+            var matrix = CreateMatrix(3, 3);
             var column = CreateVector(matrix.RowCount);
             for (var i = 0; i < column.Count; i++)
             {
@@ -855,7 +855,7 @@ namespace MathNet.Numerics.UnitTests.LinearAlgebraTests.Double
         [ExpectedException(typeof(ArgumentNullException))]
         public void InsertNullColumnShouldThrowExecption()
         {
-            var matrix = this.TestMatrices["Square3x3"];
+            var matrix = TestMatrices["Square3x3"];
             matrix.InsertColumn(0, null);
         }
 
@@ -864,15 +864,15 @@ namespace MathNet.Numerics.UnitTests.LinearAlgebraTests.Double
         [Row(5, ExpectedException = typeof(ArgumentOutOfRangeException))]
         public void InsertColumnWithInvalidColumnIndexShouldThrowExceptiopn(int columnIndex)
         {
-            var matrix = this.CreateMatrix(3, 3);
+            var matrix = CreateMatrix(3, 3);
             var column = CreateVector(matrix.RowCount);
             matrix.InsertColumn(columnIndex, column);
         }
 
         public void InsertColumnWithInvalidNumberOfElementsShouldThrowException()
         {
-            var matrix = this.CreateMatrix(3, 3);
+            var matrix = CreateMatrix(3, 3);
-            var column = this.CreateVector(matrix.RowCount + 1);
+            var column = CreateVector(matrix.RowCount + 1);
             matrix.InsertColumn(0, column);
         }
 
@@ -885,7 +885,7 @@ namespace MathNet.Numerics.UnitTests.LinearAlgebraTests.Double
         [Row("Singular3x3", new double[] { 1, 2, 3, 4, 5 }, ExpectedException = typeof(ArgumentException))]
         public virtual void SetRowWithArray(string name, double[] row)
         {
-            var matrix = this.TestMatrices[name];
+            var matrix = TestMatrices[name];
             for (var i = 0; i < matrix.RowCount; i++)
             {
                 matrix.SetRow(i, row);
@@ -900,7 +900,7 @@ namespace MathNet.Numerics.UnitTests.LinearAlgebraTests.Double
         [ExpectedArgumentOutOfRangeException]
         public void SetRowArrayWithInvalidRowIndexShouldThrowException()
         {
-            var matrix = this.TestMatrices["Square3x3"];
+            var matrix = TestMatrices["Square3x3"];
             double[] row = { 1, 2, 3 };
             matrix.SetRow(-1, row);
         }
@@ -909,7 +909,7 @@ namespace MathNet.Numerics.UnitTests.LinearAlgebraTests.Double
         [ExpectedArgumentOutOfRangeException]
         public void SetRowArrayWithInvalidRowIndexShouldThrowException2()
         {
-            var matrix = this.TestMatrices["Square3x3"];
+            var matrix = TestMatrices["Square3x3"];
             double[] row = { 1, 2, 3 };
             matrix.SetRow(matrix.RowCount + 1, row);
         }
@@ -922,7 +922,7 @@ namespace MathNet.Numerics.UnitTests.LinearAlgebraTests.Double
         [Row("Singular3x3", new double[] { 1, 2, 3, 4, 5 }, ExpectedException = typeof(ArgumentException))]
         public virtual void SetRowWithVector(string name, double[] row)
         {
-            var matrix = this.TestMatrices[name];
+            var matrix = TestMatrices[name];
             var rowVector = CreateVector(row);
             for (var i = 0; i < matrix.RowCount; i++)
             {
@@ -938,8 +938,8 @@ namespace MathNet.Numerics.UnitTests.LinearAlgebraTests.Double
         [ExpectedArgumentNullException]
         public void SetRowWithNullVectorShouldThrowException()
         {
-            var matrix = this.TestMatrices["Square3x3"];
+            var matrix = TestMatrices["Square3x3"];
-            Vector rowVector = null;
+            Vector<double> rowVector = null;
             matrix.SetRow(1, rowVector);
         }
 
@@ -947,8 +947,8 @@ namespace MathNet.Numerics.UnitTests.LinearAlgebraTests.Double
         [ExpectedArgumentOutOfRangeException]
         public void SetRowVectorWithInvalidRowIndexShouldThrowException()
         {
-            var matrix = this.TestMatrices["Square3x3"];
+            var matrix = TestMatrices["Square3x3"];
-            var row = this.CreateVector(new double[] { 1, 2, 3 });
+            var row = CreateVector(new double[] { 1, 2, 3 });
             matrix.SetRow(-1, row);
         }
 
@@ -956,8 +956,8 @@ namespace MathNet.Numerics.UnitTests.LinearAlgebraTests.Double
         [ExpectedArgumentOutOfRangeException]
         public void SetRowVectorWithInvalidRowIndexShouldThrowException2()
         {
-            var matrix = this.TestMatrices["Square3x3"];
+            var matrix = TestMatrices["Square3x3"];
-            var row = this.CreateVector(new double[] { 1, 2, 3 });
+            var row = CreateVector(new double[] { 1, 2, 3 });
             matrix.SetRow(matrix.RowCount + 1, row);
         }
 
@@ -974,7 +974,7 @@ namespace MathNet.Numerics.UnitTests.LinearAlgebraTests.Double
         [Row(0, 2, 0, -1, ExpectedException = typeof(ArgumentException))]
         public virtual void SetSubMatrix(int rowStart, int rowLength, int colStart, int colLength)
         {
-            foreach (var matrix in this.TestMatrices.Values)
+            foreach (var matrix in TestMatrices.Values)
             {
                 var subMatrix = matrix.SubMatrix(0, 2, 0, 2);
                 subMatrix[0, 0] = 10.0;
@@ -997,8 +997,8 @@ namespace MathNet.Numerics.UnitTests.LinearAlgebraTests.Double
         [ExpectedArgumentNullException]
         public void SetSubMatrixWithNullSubMatrixShouldThrowException()
         {
-            var data = this.TestMatrices["Square3x3"];
+            var data = TestMatrices["Square3x3"];
-            Matrix subMatrix = null;
+            Matrix<double> subMatrix = null;
             data.SetSubMatrix(0, 2, 0, 2, subMatrix);
         }
 
@@ -1009,7 +1009,7 @@ namespace MathNet.Numerics.UnitTests.LinearAlgebraTests.Double
         [Row("Tall3x2", new double[] { 1, 2 })]
         public void SetDiagonalVector(string name, double[] diagonal)
         {
-            var matrix = this.TestMatrices[name];
+            var matrix = TestMatrices[name];
             var vector = CreateVector(diagonal);
             matrix.SetDiagonal(vector);
 
@@ -1026,8 +1026,8 @@ namespace MathNet.Numerics.UnitTests.LinearAlgebraTests.Double
         [ExpectedArgumentNullException]
         public void SetDiagonalWithNullVectorParameterShouldThrowException()
         {
-            var matrix = this.TestMatrices["Square3x3"];
+            var matrix = TestMatrices["Square3x3"];
-            Vector vector = null;
+            Vector<double> vector = null;
             matrix.SetDiagonal(vector);
         }
 
@@ -1039,7 +1039,7 @@ namespace MathNet.Numerics.UnitTests.LinearAlgebraTests.Double
         [Row("Square3x3", null, ExpectedException = typeof(ArgumentNullException))]
         public void SetDiagonalArray(string name, double[] diagonal)
         {
-            var matrix = this.TestMatrices[name];
+            var matrix = TestMatrices[name];
             matrix.SetDiagonal(diagonal);
             var min = Math.Min(matrix.ColumnCount, matrix.RowCount);
             Assert.AreEqual(diagonal.Length, min);
@@ -1052,7 +1052,7 @@ namespace MathNet.Numerics.UnitTests.LinearAlgebraTests.Double
         [Test]
         public void InsertRow()
         {
-            var matrix = this.CreateMatrix(3, 3);
+            var matrix = CreateMatrix(3, 3);
             var row = CreateVector(matrix.ColumnCount);
             for (var i = 0; i < row.Count; i++)
             {
@@ -1084,7 +1084,7 @@ namespace MathNet.Numerics.UnitTests.LinearAlgebraTests.Double
         [ExpectedException(typeof(ArgumentNullException))]
         public void InsertNullRowShouldThrowExecption()
         {
-            var matrix = this.TestMatrices["Square3x3"];
+            var matrix = TestMatrices["Square3x3"];
             matrix.InsertRow(0, null);
         }
 
@@ -1093,22 +1093,22 @@ namespace MathNet.Numerics.UnitTests.LinearAlgebraTests.Double
         [Row(5, ExpectedException = typeof(ArgumentOutOfRangeException))]
         public void InsertRowWithInvalidRowIndexShouldThrowExceptiopn(int rowIndex)
         {
-            var matrix = this.CreateMatrix(3, 3);
+            var matrix = CreateMatrix(3, 3);
             var row = CreateVector(matrix.ColumnCount);
             matrix.InsertRow(rowIndex, row);
         }
 
         public void InsertRowWithInvalidNumberOfElementsShouldThrowException()
         {
-            var matrix = this.CreateMatrix(3, 3);
+            var matrix = CreateMatrix(3, 3);
-            var row = this.CreateVector(matrix.ColumnCount + 1);
+            var row = CreateVector(matrix.ColumnCount + 1);
             matrix.InsertRow(0, row);
         }
 
         [Test]
         public void ToArray()
         {
-            foreach (var data in this.TestMatrices.Values)
+            foreach (var data in TestMatrices.Values)
             {
                 var array = data.ToArray();
                 Assert.AreEqual(data.RowCount, array.GetLength(0));
@@ -1127,7 +1127,7 @@ namespace MathNet.Numerics.UnitTests.LinearAlgebraTests.Double
         [Test]
         public void ToColumnWiseArray()
         {
-            foreach (var data in this.TestMatrices.Values)
+            foreach (var data in TestMatrices.Values)
             {
                 var array = data.ToColumnWiseArray();
                 Assert.AreEqual(data.RowCount * data.ColumnCount, array.Length);
@@ -1145,7 +1145,7 @@ namespace MathNet.Numerics.UnitTests.LinearAlgebraTests.Double
         [Test]
         public void ToRowWiseArray()
         {
-            foreach (var data in this.TestMatrices.Values)
+            foreach (var data in TestMatrices.Values)
             {
                 var array = data.ToRowWiseArray();
                 Assert.AreEqual(data.RowCount * data.ColumnCount, array.Length);
@@ -1168,8 +1168,8 @@ namespace MathNet.Numerics.UnitTests.LinearAlgebraTests.Double
         [MultipleAsserts]
         public virtual void CanPermuteMatrixRows(string name)
         {
-            var matrix = this.CreateMatrix(this.TestData2D[name]);
+            var matrix = CreateMatrix(TestData2D[name]);
-            var matrixp = this.CreateMatrix(this.TestData2D[name]);
+            var matrixp = CreateMatrix(TestData2D[name]);
 
             var permutation = new Permutation(new[] { 2, 0, 1 });
             matrixp.PermuteRows(permutation);
@@ -1193,8 +1193,8 @@ namespace MathNet.Numerics.UnitTests.LinearAlgebraTests.Double
         [MultipleAsserts]
         public virtual void CanPermuteMatrixColumns(string name)
         {
-            var matrix = this.CreateMatrix(this.TestData2D[name]);
+            var matrix = CreateMatrix(TestData2D[name]);
-            var matrixp = this.CreateMatrix(this.TestData2D[name]);
+            var matrixp = CreateMatrix(TestData2D[name]);
 
             var permutation = new Permutation(new[] { 2, 0, 1 });
             matrixp.PermuteColumns(permutation);
@@ -1214,8 +1214,8 @@ namespace MathNet.Numerics.UnitTests.LinearAlgebraTests.Double
         [Test]
         public void CanAppendMatrices()
         {
-            var left = this.CreateMatrix(this.TestData2D["Singular3x3"]);
+            var left = CreateMatrix(TestData2D["Singular3x3"]);
-            var right = this.CreateMatrix(this.TestData2D["Tall3x2"]);
+            var right = CreateMatrix(TestData2D["Tall3x2"]);
             var result = left.Append(right);
             Assert.AreEqual(left.ColumnCount + right.ColumnCount, result.ColumnCount);
             Assert.AreEqual(left.RowCount, right.RowCount);
@@ -1240,8 +1240,8 @@ namespace MathNet.Numerics.UnitTests.LinearAlgebraTests.Double
         [ExpectedArgumentNullException]
         public void CanAppendWithRightParameterNullShouldThrowException()
         {
-            var left = this.TestMatrices["Square3x3"];
+            var left = TestMatrices["Square3x3"];
-            Matrix right = null;
+            Matrix<double> right = null;
             left.Append(right);
         }
 
@@ -1249,9 +1249,9 @@ namespace MathNet.Numerics.UnitTests.LinearAlgebraTests.Double
         [ExpectedArgumentNullException]
         public void CanAppendWithResultParameterNullShouldThrowException()
         {
-            var left = this.TestMatrices["Square3x3"];
+            var left = TestMatrices["Square3x3"];
-            var right = this.TestMatrices["Tall3x2"];
+            var right = TestMatrices["Tall3x2"];
-            Matrix result = null;
+            Matrix<double> result = null;
             left.Append(right, result);
         }
 
@@ -1259,8 +1259,8 @@ namespace MathNet.Numerics.UnitTests.LinearAlgebraTests.Double
         [ExpectedArgumentException]
         public void AppendingTwoMatricesWithDifferentRowCountShouldThrowException()
         {
-            var left = this.TestMatrices["Square3x3"];
+            var left = TestMatrices["Square3x3"];
-            var right = this.TestMatrices["Wide2x3"];
+            var right = TestMatrices["Wide2x3"];
             var result = left.Append(right);
         }
 
@@ -1268,17 +1268,17 @@ namespace MathNet.Numerics.UnitTests.LinearAlgebraTests.Double
         [ExpectedArgumentException]
         public void AppendingWithInvalidResultMatrixColumnsShouldThrowException()
         {
-            var left = this.TestMatrices["Square3x3"];
+            var left = TestMatrices["Square3x3"];
-            var right = this.TestMatrices["Tall3x2"];
+            var right = TestMatrices["Tall3x2"];
-            var result = this.CreateMatrix(3, 2);
+            var result = CreateMatrix(3, 2);
             left.Append(right, result);
         }
 
         [Test]
         public void CanStackMatrices()
         {
-            var top = this.TestMatrices["Square3x3"];
+            var top = TestMatrices["Square3x3"];
-            var bottom = this.TestMatrices["Wide2x3"];
+            var bottom = TestMatrices["Wide2x3"];
             var result = top.Stack(bottom);
             Assert.AreEqual(top.RowCount + bottom.RowCount, result.RowCount);
             Assert.AreEqual(top.ColumnCount, result.ColumnCount);
@@ -1303,9 +1303,9 @@ namespace MathNet.Numerics.UnitTests.LinearAlgebraTests.Double
         [ExpectedArgumentNullException]
         public void StackingWithBottomParameterNullShouldThrowException()
         {
-            var top = this.TestMatrices["Square3x3"];
+            var top = TestMatrices["Square3x3"];
-            Matrix bottom = null;
+            Matrix<double> bottom = null;
-            var result = this.CreateMatrix(top.RowCount + top.RowCount, top.ColumnCount);
+            var result = CreateMatrix(top.RowCount + top.RowCount, top.ColumnCount);
             top.Stack(bottom, result);
         }
 
@@ -1313,9 +1313,9 @@ namespace MathNet.Numerics.UnitTests.LinearAlgebraTests.Double
         [ExpectedArgumentNullException]
         public void StackingWithResultParameterNullShouldThrowException()
         {
-            var top = this.TestMatrices["Square3x3"];
+            var top = TestMatrices["Square3x3"];
-            var bottom = this.TestMatrices["Square3x3"];
+            var bottom = TestMatrices["Square3x3"];
-            Matrix result = null;
+            Matrix<double> result = null;
             top.Stack(bottom, result);
         }
 
@@ -1323,9 +1323,9 @@ namespace MathNet.Numerics.UnitTests.LinearAlgebraTests.Double
         [ExpectedArgumentException]
         public void StackingTwoMatricesWithDifferentColumnsShouldThrowException()
         {
-            var top = this.TestMatrices["Square3x3"];
+            var top = TestMatrices["Square3x3"];
-            var lower = this.TestMatrices["Tall3x2"];
+            var lower = TestMatrices["Tall3x2"];
-            var result = this.CreateMatrix(top.RowCount + lower.RowCount, top.ColumnCount);
+            var result = CreateMatrix(top.RowCount + lower.RowCount, top.ColumnCount);
             top.Stack(lower, result);
         }
 
@@ -1333,17 +1333,17 @@ namespace MathNet.Numerics.UnitTests.LinearAlgebraTests.Double
         [ExpectedArgumentException]
         public void StackingWithInvalidResultMatrixRowsShouldThrowException()
         {
-            var top = this.TestMatrices["Square3x3"];
+            var top = TestMatrices["Square3x3"];
-            var bottom = this.TestMatrices["Wide2x3"];
+            var bottom = TestMatrices["Wide2x3"];
-            var result = this.CreateMatrix(1, 3);
+            var result = CreateMatrix(1, 3);
             top.Stack(bottom, result);
         }
 
         [Test]
         public void CanDiagonallyStackMatrics()
         {
-            var top = this.TestMatrices["Tall3x2"];
+            var top = TestMatrices["Tall3x2"];
-            var bottom = this.TestMatrices["Wide2x3"];
+            var bottom = TestMatrices["Wide2x3"];
             var result = top.DiagonalStack(bottom);
             Assert.AreEqual(top.RowCount + bottom.RowCount, result.RowCount);
             Assert.AreEqual(top.ColumnCount + bottom.ColumnCount, result.ColumnCount);
@@ -1372,17 +1372,17 @@ namespace MathNet.Numerics.UnitTests.LinearAlgebraTests.Double
         [ExpectedArgumentNullException]
         public void DiagonalStackWithLowerNullShouldThrowException()
         {
-            var top = this.TestMatrices["Square3x3"];
+            var top = TestMatrices["Square3x3"];
-            Matrix lower = null;
+            Matrix<double> lower = null;
             top.DiagonalStack(lower);
         }
 
         [Test]
         public virtual void CanDiagonallyStackMatricesWithPassingResult()
         {
-            var top = this.TestMatrices["Tall3x2"];
+            var top = TestMatrices["Tall3x2"];
-            var bottom = this.TestMatrices["Wide2x3"];
+            var bottom = TestMatrices["Wide2x3"];
-            var result = this.CreateMatrix(top.RowCount + bottom.RowCount, top.ColumnCount + bottom.ColumnCount);
+            var result = CreateMatrix(top.RowCount + bottom.RowCount, top.ColumnCount + bottom.ColumnCount);
             top.DiagonalStack(bottom, result);
             Assert.AreEqual(top.RowCount + bottom.RowCount, result.RowCount);
             Assert.AreEqual(top.ColumnCount + bottom.ColumnCount, result.ColumnCount);
@@ -1411,9 +1411,9 @@ namespace MathNet.Numerics.UnitTests.LinearAlgebraTests.Double
         [ExpectedArgumentNullException]
         public void DiagonalStackWithResultNullShouldThrowException()
         {
-            var top = this.TestMatrices["Square3x3"];
+            var top = TestMatrices["Square3x3"];
-            var lower = this.TestMatrices["Wide2x3"];
+            var lower = TestMatrices["Wide2x3"];
-            Matrix result = null;
+            Matrix<double> result = null;
             top.DiagonalStack(lower, result);
         }
 
@@ -1421,9 +1421,9 @@ namespace MathNet.Numerics.UnitTests.LinearAlgebraTests.Double
         [ExpectedArgumentException]
         public void DiagonalStackWithInvalidResultMatrixShouldThrowException()
         {
-            var top = this.TestMatrices["Square3x3"];
+            var top = TestMatrices["Square3x3"];
-            var lower = this.TestMatrices["Wide2x3"];
+            var lower = TestMatrices["Wide2x3"];
-            var result = this.CreateMatrix(top.RowCount + lower.RowCount + 2, top.ColumnCount + lower.ColumnCount);
+            var result = CreateMatrix(top.RowCount + lower.RowCount + 2, top.ColumnCount + lower.ColumnCount);
             top.DiagonalStack(lower, result);
         }
 
@@ -1443,7 +1443,7 @@ namespace MathNet.Numerics.UnitTests.LinearAlgebraTests.Double
         [Test]
         public virtual void InfinityNorm()
         {
-            Matrix matrix = TestMatrices["Square3x3"];
+            var matrix = TestMatrices["Square3x3"];
             Assert.AreEqual(16.5, matrix.InfinityNorm());
 
             matrix = TestMatrices["Wide2x3"];
@@ -1456,7 +1456,7 @@ namespace MathNet.Numerics.UnitTests.LinearAlgebraTests.Double
         [Test]
         public virtual void L1Norm()
         {
-            Matrix matrix = TestMatrices["Square3x3"];
+            var matrix = TestMatrices["Square3x3"];
             Assert.AreEqual(12.1, matrix.L1Norm());
 
             matrix = TestMatrices["Wide2x3"];

src/UnitTests/LinearAlgebraTests/Double/Solvers/Iterative/BiCgStabTest.cs

@@ -3,8 +3,10 @@ namespace MathNet.Numerics.UnitTests.LinearAlgebraTests.Double.Solvers.Iterative
     using LinearAlgebra.Double;
     using LinearAlgebra.Double.Solvers;
     using LinearAlgebra.Double.Solvers.Iterative;
-    using LinearAlgebra.Double.Solvers.Status;
     using LinearAlgebra.Double.Solvers.StopCriterium;
+    using LinearAlgebra.Generic;
+    using LinearAlgebra.Generic.Solvers.Status;
+    using LinearAlgebra.Generic.Solvers.StopCriterium;
     using MbUnit.Framework;
 
     [TestFixture]
@@ -18,7 +20,7 @@ namespace MathNet.Numerics.UnitTests.LinearAlgebraTests.Double.Solvers.Iterative
         public void SolveWideMatrix()
         {
             var matrix = new SparseMatrix(2, 3);
-            Vector input = new DenseVector(2);
+            Vector<double> input = new DenseVector(2);
 
             var solver = new BiCgStab();
             solver.Solve(matrix, input);
@@ -29,7 +31,7 @@ namespace MathNet.Numerics.UnitTests.LinearAlgebraTests.Double.Solvers.Iterative
         public void SolveLongMatrix()
         {
             var matrix = new SparseMatrix(3, 2);
-            Vector input = new DenseVector(3);
+            Vector<double> input = new DenseVector(3);
 
             var solver = new BiCgStab();
             solver.Solve(matrix, input);
@@ -40,13 +42,13 @@ namespace MathNet.Numerics.UnitTests.LinearAlgebraTests.Double.Solvers.Iterative
         public void SolveUnitMatrixAndBackMultiply()
         {
             // Create the identity matrix
-            Matrix matrix = SparseMatrix.Identity(100);
+            Matrix<double> matrix = SparseMatrix.Identity(100);
 
             // Create the y vector
-            Vector y = new DenseVector(matrix.RowCount, 1);
+            Vector<double> y = new DenseVector(matrix.RowCount, 1);
 
             // Create an iteration monitor which will keep track of iterative convergence
-            var monitor = new Iterator(new IIterationStopCriterium[]
+            var monitor = new Iterator(new IIterationStopCriterium<double>[]
                                        {
                                            new IterationCountStopCriterium(MaximumIterations),
                                            new ResidualStopCriterium(ConvergenceBoundary),
@@ -80,16 +82,16 @@ namespace MathNet.Numerics.UnitTests.LinearAlgebraTests.Double.Solvers.Iterative
         public void SolveScaledUnitMatrixAndBackMultiply()
         {
             // Create the identity matrix
-            Matrix matrix = SparseMatrix.Identity(100);
+            Matrix<double> matrix = SparseMatrix.Identity(100);
 
             // Scale it with a funny number
             matrix.Multiply(System.Math.PI);
 
             // Create the y vector
-            Vector y = new DenseVector(matrix.RowCount, 1);
+            Vector<double> y = new DenseVector(matrix.RowCount, 1);
 
             // Create an iteration monitor which will keep track of iterative convergence
-            var monitor = new Iterator(new IIterationStopCriterium[]
+            var monitor = new Iterator(new IIterationStopCriterium<double>[]
                                        {
                                            new IterationCountStopCriterium(MaximumIterations),
                                            new ResidualStopCriterium(ConvergenceBoundary),
@@ -162,10 +164,10 @@ namespace MathNet.Numerics.UnitTests.LinearAlgebraTests.Double.Solvers.Iterative
             }
 
             // Create the y vector
-            Vector y = new DenseVector(matrix.RowCount, 1);
+            Vector<double> y = new DenseVector(matrix.RowCount, 1);
 
             // Create an iteration monitor which will keep track of iterative convergence
-            var monitor = new Iterator(new IIterationStopCriterium[]
+            var monitor = new Iterator(new IIterationStopCriterium<double>[]
                                        {
                                            new IterationCountStopCriterium(MaximumIterations),
                                            new ResidualStopCriterium(ConvergenceBoundary),
@@ -204,7 +206,7 @@ namespace MathNet.Numerics.UnitTests.LinearAlgebraTests.Double.Solvers.Iterative
             var matrixA = MatrixLoader.GenerateRandomDenseMatrix(order, order);
             var vectorb = MatrixLoader.GenerateRandomDenseVector(order);
 
-            var monitor = new Iterator(new IIterationStopCriterium[]
+            var monitor = new Iterator(new IIterationStopCriterium<double>[]
                                        {
                                            new IterationCountStopCriterium(1000),
                                            new ResidualStopCriterium(1e-10),
@@ -233,7 +235,7 @@ namespace MathNet.Numerics.UnitTests.LinearAlgebraTests.Double.Solvers.Iterative
             var matrixA = MatrixLoader.GenerateRandomDenseMatrix(order, order);
             var matrixB = MatrixLoader.GenerateRandomDenseMatrix(order, order);
 
-            var monitor = new Iterator(new IIterationStopCriterium[]
+            var monitor = new Iterator(new IIterationStopCriterium<double>[]
                                        {
                                            new IterationCountStopCriterium(1000),
                                            new ResidualStopCriterium(1e-10)

src/UnitTests/LinearAlgebraTests/Double/Solvers/Iterative/GpBiCgTest.cs

@@ -3,8 +3,10 @@ namespace MathNet.Numerics.UnitTests.LinearAlgebraTests.Double.Solvers.Iterative
     using LinearAlgebra.Double;
     using LinearAlgebra.Double.Solvers;
     using LinearAlgebra.Double.Solvers.Iterative;
-    using LinearAlgebra.Double.Solvers.Status;
     using LinearAlgebra.Double.Solvers.StopCriterium;
+    using LinearAlgebra.Generic;
+    using LinearAlgebra.Generic.Solvers.Status;
+    using LinearAlgebra.Generic.Solvers.StopCriterium;
     using MbUnit.Framework;
 
     [TestFixture]
@@ -18,7 +20,7 @@ namespace MathNet.Numerics.UnitTests.LinearAlgebraTests.Double.Solvers.Iterative
         public void SolveWideMatrix()
         {
             var matrix = new SparseMatrix(2, 3);
-            Vector input = new DenseVector(2);
+            Vector<double> input = new DenseVector(2);
 
             var solver = new GpBiCg();
             solver.Solve(matrix, input);
@@ -29,7 +31,7 @@ namespace MathNet.Numerics.UnitTests.LinearAlgebraTests.Double.Solvers.Iterative
         public void SolveLongMatrix()
         {
             var matrix = new SparseMatrix(3, 2);
-            Vector input = new DenseVector(3);
+            Vector<double> input = new DenseVector(3);
 
             var solver = new GpBiCg();
             solver.Solve(matrix, input);
@@ -40,13 +42,13 @@ namespace MathNet.Numerics.UnitTests.LinearAlgebraTests.Double.Solvers.Iterative
         public void SolveUnitMatrixAndBackMultiply()
         {
             // Create the identity matrix
-            Matrix matrix = SparseMatrix.Identity(100);
+            Matrix<double> matrix = SparseMatrix.Identity(100);
 
             // Create the y vector
-            Vector y = new DenseVector(matrix.RowCount, 1);
+            Vector<double> y = new DenseVector(matrix.RowCount, 1);
 
             // Create an iteration monitor which will keep track of iterative convergence
-            var monitor = new Iterator(new IIterationStopCriterium[]
+            var monitor = new Iterator(new IIterationStopCriterium<double>[]
                                        {
                                            new IterationCountStopCriterium(MaximumIterations),
                                            new ResidualStopCriterium(ConvergenceBoundary),
@@ -80,16 +82,16 @@ namespace MathNet.Numerics.UnitTests.LinearAlgebraTests.Double.Solvers.Iterative
         public void SolveScaledUnitMatrixAndBackMultiply()
         {
             // Create the identity matrix
-            Matrix matrix = SparseMatrix.Identity(100);
+            Matrix<double> matrix = SparseMatrix.Identity(100);
 
             // Scale it with a funny number
             matrix.Multiply(System.Math.PI);
 
             // Create the y vector
-            Vector y = new DenseVector(matrix.RowCount, 1);
+            Vector<double> y = new DenseVector(matrix.RowCount, 1);
 
             // Create an iteration monitor which will keep track of iterative convergence
-            var monitor = new Iterator(new IIterationStopCriterium[]
+            var monitor = new Iterator(new IIterationStopCriterium<double>[]
                                        {
                                            new IterationCountStopCriterium(MaximumIterations),
                                            new ResidualStopCriterium(ConvergenceBoundary),
@@ -163,10 +165,10 @@ namespace MathNet.Numerics.UnitTests.LinearAlgebraTests.Double.Solvers.Iterative
             }
 
             // Create the y vector
-            Vector y = new DenseVector(matrix.RowCount, 1);
+            Vector<double> y = new DenseVector(matrix.RowCount, 1);
 
             // Create an iteration monitor which will keep track of iterative convergence
-            var monitor = new Iterator(new IIterationStopCriterium[]
+            var monitor = new Iterator(new IIterationStopCriterium<double>[]
                                        {
                                            new IterationCountStopCriterium(MaximumIterations),
                                            new ResidualStopCriterium(ConvergenceBoundary),
@@ -206,7 +208,7 @@ namespace MathNet.Numerics.UnitTests.LinearAlgebraTests.Double.Solvers.Iterative
             var matrixA = MatrixLoader.GenerateRandomDenseMatrix(order, order);
             var vectorb = MatrixLoader.GenerateRandomDenseVector(order);
 
-            var monitor = new Iterator(new IIterationStopCriterium[]
+            var monitor = new Iterator(new IIterationStopCriterium<double>[]
                                        {
                                            new IterationCountStopCriterium(1000),
                                            new ResidualStopCriterium(1e-10),
@@ -235,7 +237,7 @@ namespace MathNet.Numerics.UnitTests.LinearAlgebraTests.Double.Solvers.Iterative
             var matrixA = MatrixLoader.GenerateRandomDenseMatrix(order, order);
             var matrixB = MatrixLoader.GenerateRandomDenseMatrix(order, order);
 
-            var monitor = new Iterator(new IIterationStopCriterium[]
+            var monitor = new Iterator(new IIterationStopCriterium<double>[]
                                        {
                                            new IterationCountStopCriterium(1000),
                                            new ResidualStopCriterium(1e-10)

src/UnitTests/LinearAlgebraTests/Double/Solvers/Iterative/MlkBiCgStabTest.cs

@@ -3,8 +3,10 @@ namespace MathNet.Numerics.UnitTests.LinearAlgebraTests.Double.Solvers.Iterative
     using LinearAlgebra.Double;
     using LinearAlgebra.Double.Solvers;
     using LinearAlgebra.Double.Solvers.Iterative;
-    using LinearAlgebra.Double.Solvers.Status;
     using LinearAlgebra.Double.Solvers.StopCriterium;
+    using LinearAlgebra.Generic;
+    using LinearAlgebra.Generic.Solvers.Status;
+    using LinearAlgebra.Generic.Solvers.StopCriterium;
     using MbUnit.Framework;
 
     [TestFixture]
@@ -18,7 +20,7 @@ namespace MathNet.Numerics.UnitTests.LinearAlgebraTests.Double.Solvers.Iterative
         public void SolveWideMatrix()
         {
             var matrix = new SparseMatrix(2, 3);
-            Vector input = new DenseVector(2);
+            Vector<double> input = new DenseVector(2);
 
             var solver = new MlkBiCgStab();
             solver.Solve(matrix, input);
@@ -29,7 +31,7 @@ namespace MathNet.Numerics.UnitTests.LinearAlgebraTests.Double.Solvers.Iterative
         public void SolveLongMatrix()
         {
             var matrix = new SparseMatrix(3, 2);
-            Vector input = new DenseVector(3);
+            Vector<double> input = new DenseVector(3);
 
             var solver = new MlkBiCgStab();
             solver.Solve(matrix, input);
@@ -40,13 +42,13 @@ namespace MathNet.Numerics.UnitTests.LinearAlgebraTests.Double.Solvers.Iterative
         public void SolveUnitMatrixAndBackMultiply()
         {
             // Create the identity matrix
-            Matrix matrix = SparseMatrix.Identity(100);
+            Matrix<double> matrix = SparseMatrix.Identity(100);
 
             // Create the y vector
-            Vector y = new DenseVector(matrix.RowCount, 1);
+            Vector<double> y = new DenseVector(matrix.RowCount, 1);
 
             // Create an iteration monitor which will keep track of iterative convergence
-            var monitor = new Iterator(new IIterationStopCriterium[]
+            var monitor = new Iterator(new IIterationStopCriterium<double>[]
                 {
                     new IterationCountStopCriterium(MaximumIterations),
                     new ResidualStopCriterium(ConvergenceBoundary),
@@ -81,16 +83,16 @@ namespace MathNet.Numerics.UnitTests.LinearAlgebraTests.Double.Solvers.Iterative
         public void SolveScaledUnitMatrixAndBackMultiply()
         {
             // Create the identity matrix
-            Matrix matrix = SparseMatrix.Identity(100);
+            Matrix<double> matrix = SparseMatrix.Identity(100);
 
             // Scale it with a funny number
             matrix.Multiply(System.Math.PI);
 
             // Create the y vector
-            Vector y = new DenseVector(matrix.RowCount, 1);
+            Vector<double> y = new DenseVector(matrix.RowCount, 1);
 
             // Create an iteration monitor which will keep track of iterative convergence
-            var monitor = new Iterator(new IIterationStopCriterium[]
+            var monitor = new Iterator(new IIterationStopCriterium<double>[]
                                        {
                                            new IterationCountStopCriterium(MaximumIterations),
                                            new ResidualStopCriterium(ConvergenceBoundary),
@@ -162,10 +164,10 @@ namespace MathNet.Numerics.UnitTests.LinearAlgebraTests.Double.Solvers.Iterative
             }
 
             // Create the y vector
-            Vector y = new DenseVector(matrix.RowCount, 1);
+            Vector<double> y = new DenseVector(matrix.RowCount, 1);
 
             // Create an iteration monitor which will keep track of iterative convergence
-            var monitor = new Iterator(new IIterationStopCriterium[]
+            var monitor = new Iterator(new IIterationStopCriterium<double>[]
                                        {
                                            new IterationCountStopCriterium(MaximumIterations),
                                            new ResidualStopCriterium(ConvergenceBoundary),
@@ -204,7 +206,7 @@ namespace MathNet.Numerics.UnitTests.LinearAlgebraTests.Double.Solvers.Iterative
             var matrixA = MatrixLoader.GenerateRandomDenseMatrix(order, order);
             var vectorb = MatrixLoader.GenerateRandomDenseVector(order);
 
-            var monitor = new Iterator(new IIterationStopCriterium[]
+            var monitor = new Iterator(new IIterationStopCriterium<double>[]
                                        {
                                            new IterationCountStopCriterium(1000),
                                            new ResidualStopCriterium(1e-10),
@@ -233,7 +235,7 @@ namespace MathNet.Numerics.UnitTests.LinearAlgebraTests.Double.Solvers.Iterative
             var matrixA = MatrixLoader.GenerateRandomDenseMatrix(order, order);
             var matrixB = MatrixLoader.GenerateRandomDenseMatrix(order, order);
 
-            var monitor = new Iterator(new IIterationStopCriterium[]
+            var monitor = new Iterator(new IIterationStopCriterium<double>[]
                                        {
                                            new IterationCountStopCriterium(1000),
                                            new ResidualStopCriterium(1e-10)

src/UnitTests/LinearAlgebraTests/Double/Solvers/Iterative/TFQMRTest.cs

@@ -3,8 +3,10 @@ namespace MathNet.Numerics.UnitTests.LinearAlgebraTests.Double.Solvers.Iterative
     using LinearAlgebra.Double;
     using LinearAlgebra.Double.Solvers;
     using LinearAlgebra.Double.Solvers.Iterative;
-    using LinearAlgebra.Double.Solvers.Status;
     using LinearAlgebra.Double.Solvers.StopCriterium;
+    using LinearAlgebra.Generic;
+    using LinearAlgebra.Generic.Solvers.Status;
+    using LinearAlgebra.Generic.Solvers.StopCriterium;
     using MbUnit.Framework;
 
     [TestFixture]
@@ -18,7 +20,7 @@ namespace MathNet.Numerics.UnitTests.LinearAlgebraTests.Double.Solvers.Iterative
         public void SolveWideMatrix()
         {
             var matrix = new SparseMatrix(2, 3);
-            Vector input = new DenseVector(2);
+            Vector<double> input = new DenseVector(2);
 
             var solver = new TFQMR();
             solver.Solve(matrix, input);
@@ -29,7 +31,7 @@ namespace MathNet.Numerics.UnitTests.LinearAlgebraTests.Double.Solvers.Iterative
         public void SolveLongMatrix()
         {
             var matrix = new SparseMatrix(3, 2);
-            Vector input = new DenseVector(3);
+            Vector<double> input = new DenseVector(3);
 
             var solver = new TFQMR();
             solver.Solve(matrix, input);
@@ -40,13 +42,13 @@ namespace MathNet.Numerics.UnitTests.LinearAlgebraTests.Double.Solvers.Iterative
         public void SolveUnitMatrixAndBackMultiply()
         {
             // Create the identity matrix
-            Matrix matrix = SparseMatrix.Identity(100);
+            Matrix<double> matrix = SparseMatrix.Identity(100);
 
             // Create the y vector
-            Vector y = new DenseVector(matrix.RowCount, 1);
+            Vector<double> y = new DenseVector(matrix.RowCount, 1);
 
             // Create an iteration monitor which will keep track of iterative convergence
-            var monitor = new Iterator(new IIterationStopCriterium[]
+            var monitor = new Iterator(new IIterationStopCriterium<double>[]
                                        {
                                            new IterationCountStopCriterium(MaximumIterations),
                                            new ResidualStopCriterium(ConvergenceBoundary),
@@ -81,16 +83,16 @@ namespace MathNet.Numerics.UnitTests.LinearAlgebraTests.Double.Solvers.Iterative
         public void SolveScaledUnitMatrixAndBackMultiply()
         {
             // Create the identity matrix
-            Matrix matrix = SparseMatrix.Identity(100);
+            Matrix<double> matrix = SparseMatrix.Identity(100);
 
             // Scale it with a funny number
             matrix.Multiply(System.Math.PI);
 
             // Create the y vector
-            Vector y = new DenseVector(matrix.RowCount, 1);
+            Vector<double> y = new DenseVector(matrix.RowCount, 1);
 
             // Create an iteration monitor which will keep track of iterative convergence
-            var monitor = new Iterator(new IIterationStopCriterium[]
+            var monitor = new Iterator(new IIterationStopCriterium<double>[]
                                        {
                                            new IterationCountStopCriterium(MaximumIterations),
                                            new ResidualStopCriterium(ConvergenceBoundary),
@@ -162,10 +164,10 @@ namespace MathNet.Numerics.UnitTests.LinearAlgebraTests.Double.Solvers.Iterative
             }
 
             // Create the y vector
-            Vector y = new DenseVector(matrix.RowCount, 1);
+            Vector<double> y = new DenseVector(matrix.RowCount, 1);
 
             // Create an iteration monitor which will keep track of iterative convergence
-            var monitor = new Iterator(new IIterationStopCriterium[]
+            var monitor = new Iterator(new IIterationStopCriterium<double>[]
                                        {
                                            new IterationCountStopCriterium(MaximumIterations),
                                            new ResidualStopCriterium(ConvergenceBoundary),
@@ -204,7 +206,7 @@ namespace MathNet.Numerics.UnitTests.LinearAlgebraTests.Double.Solvers.Iterative
             var matrixA = MatrixLoader.GenerateRandomDenseMatrix(order, order);
             var vectorb = MatrixLoader.GenerateRandomDenseVector(order);
 
-            var monitor = new Iterator(new IIterationStopCriterium[]
+            var monitor = new Iterator(new IIterationStopCriterium<double>[]
                                        {
                                            new IterationCountStopCriterium(1000),
                                            new ResidualStopCriterium(1e-10),
@@ -233,7 +235,7 @@ namespace MathNet.Numerics.UnitTests.LinearAlgebraTests.Double.Solvers.Iterative
             var matrixA = MatrixLoader.GenerateRandomDenseMatrix(order, order);
             var matrixB = MatrixLoader.GenerateRandomDenseMatrix(order, order);
 
-            var monitor = new Iterator(new IIterationStopCriterium[]
+            var monitor = new Iterator(new IIterationStopCriterium<double>[]
                                        {
                                            new IterationCountStopCriterium(1000),
                                            new ResidualStopCriterium(1e-10)

src/UnitTests/LinearAlgebraTests/Double/Solvers/IteratorTest.cs

@@ -4,8 +4,9 @@
     using System.Collections.Generic;
     using LinearAlgebra.Double;
     using LinearAlgebra.Double.Solvers;
-    using LinearAlgebra.Double.Solvers.Status;
     using LinearAlgebra.Double.Solvers.StopCriterium;
+    using LinearAlgebra.Generic.Solvers.Status;
+    using LinearAlgebra.Generic.Solvers.StopCriterium;
     using MbUnit.Framework;
 
     [TestFixture]
@@ -24,7 +25,7 @@
         [MultipleAsserts]
         public void CreateWithEmptyCollection()
         {
-            var iterator = new Iterator(new IIterationStopCriterium[] { });
+            var iterator = new Iterator(new IIterationStopCriterium<double>[] { });
             Assert.IsNotNull(iterator, "Should have an iterator");
             Assert.AreEqual(0, iterator.NumberOfCriteria, "There shouldn't be any criteria");
         }
@@ -33,7 +34,7 @@
         [MultipleAsserts]
         public void CreateWithCollectionWithNulls()
         {
-            var iterator = new Iterator(new IIterationStopCriterium[] { null, null });
+            var iterator = new Iterator(new IIterationStopCriterium<double>[] { null, null });
             Assert.IsNotNull(iterator, "Should have an iterator");
             Assert.AreEqual(0, iterator.NumberOfCriteria, "There shouldn't be any criteria");
         }
@@ -42,7 +43,7 @@
         [ExpectedArgumentException]
         public void CreateWithDuplicates()
         {
-            new Iterator(new IIterationStopCriterium[]
+            new Iterator(new IIterationStopCriterium<double>[]
                          {
                              new FailureStopCriterium(),
                              new FailureStopCriterium()
@@ -53,7 +54,7 @@
         [MultipleAsserts]
         public void CreateWithCollection()
         {
-            var criteria = new List<IIterationStopCriterium>
+            var criteria = new List<IIterationStopCriterium<double>>
                            {
                                new FailureStopCriterium(),
                                new DivergenceStopCriterium(),
@@ -96,7 +97,7 @@
         [MultipleAsserts]
         public void Add()
         {
-            var criteria = new List<IIterationStopCriterium>
+            var criteria = new List<IIterationStopCriterium<double>>
                            {
                                new FailureStopCriterium(),
                                new DivergenceStopCriterium(),
@@ -126,7 +127,7 @@
         [ExpectedArgumentNullException]
         public void RemoveWithNullStopCriterium()
         {
-            var criteria = new List<IIterationStopCriterium>
+            var criteria = new List<IIterationStopCriterium<double>>
                            {
                                new FailureStopCriterium(),
                                new DivergenceStopCriterium(),
@@ -143,7 +144,7 @@
         [MultipleAsserts]
         public void RemoveWithNonExistingStopCriterium()
         {
-            var criteria = new List<IIterationStopCriterium>
+            var criteria = new List<IIterationStopCriterium<double>>
                            {
                                new FailureStopCriterium(),
                                new DivergenceStopCriterium(),
@@ -160,7 +161,7 @@
         [MultipleAsserts]
         public void Remove()
         {
-            var criteria = new List<IIterationStopCriterium>
+            var criteria = new List<IIterationStopCriterium<double>>
                            {
                                new FailureStopCriterium(),
                                new DivergenceStopCriterium(),
@@ -192,7 +193,7 @@
         [ExpectedException(typeof(ArgumentOutOfRangeException))]
         public void DetermineStatusWithNegativeIterationNumber()
         {
-            var criteria = new List<IIterationStopCriterium>
+            var criteria = new List<IIterationStopCriterium<double>>
                            {
                                new FailureStopCriterium(),
                                new DivergenceStopCriterium(),
@@ -211,7 +212,7 @@
         [ExpectedArgumentNullException]
         public void DetermineStatusWithNullSolutionVector()
         {
-            var criteria = new List<IIterationStopCriterium>
+            var criteria = new List<IIterationStopCriterium<double>>
                            {
                                new FailureStopCriterium(),
                                new DivergenceStopCriterium(),
@@ -230,7 +231,7 @@
         [ExpectedArgumentNullException]
         public void DetermineStatusWithNullSourceVector()
         {
-            var criteria = new List<IIterationStopCriterium>
+            var criteria = new List<IIterationStopCriterium<double>>
                            {
                                new FailureStopCriterium(),
                                new DivergenceStopCriterium(),
@@ -249,7 +250,7 @@
         [ExpectedArgumentNullException]
         public void DetermineStatusWithNullResidualVector()
         {
-            var criteria = new List<IIterationStopCriterium>
+            var criteria = new List<IIterationStopCriterium<double>>
                            {
                                new FailureStopCriterium(),
                                new DivergenceStopCriterium(),
@@ -268,7 +269,7 @@
         [MultipleAsserts]
         public void DetermineStatus()
         {
-            var criteria = new List<IIterationStopCriterium>
+            var criteria = new List<IIterationStopCriterium<double>>
                            {
                                new FailureStopCriterium(),
                                new DivergenceStopCriterium(),
@@ -296,7 +297,7 @@
         [MultipleAsserts]
         public void ResetToPrecalculationState()
         {
-            var criteria = new List<IIterationStopCriterium>
+            var criteria = new List<IIterationStopCriterium<double>>
                            {
                                new FailureStopCriterium(),
                                new DivergenceStopCriterium(),
@@ -323,7 +324,7 @@
         [MultipleAsserts]
         public void Clone()
         {
-            var criteria = new List<IIterationStopCriterium>
+            var criteria = new List<IIterationStopCriterium<double>>
                            {
                                new FailureStopCriterium(),
                                new DivergenceStopCriterium(),

src/UnitTests/LinearAlgebraTests/Double/Solvers/Preconditioners/DiagonalTest.cs

@@ -2,23 +2,25 @@ namespace MathNet.Numerics.UnitTests.LinearAlgebraTests.Double.Solvers.Precondit
 {
     using LinearAlgebra.Double;
     using LinearAlgebra.Double.Solvers.Preconditioners;
+    using LinearAlgebra.Generic;
+    using LinearAlgebra.Generic.Solvers.Preconditioners;
     using MbUnit.Framework;
 
     [TestFixture]
     public sealed class DiagonalTest : PreconditionerTest
     {
-        internal override IPreConditioner CreatePreconditioner()
+        internal override IPreConditioner<double> CreatePreconditioner()
         {
             return new Diagonal();
         }
 
-        protected override void CheckResult(IPreConditioner preconditioner, SparseMatrix matrix, Vector vector, Vector result)
+        protected override void CheckResult(IPreConditioner<double> preconditioner, SparseMatrix matrix, Vector<double> vector, Vector<double> result)
         {
             Assert.AreEqual(typeof(Diagonal), preconditioner.GetType(), "#01");
 
             // Compute M * result = product
             // compare vector and product. Should be equal
-            Vector product = new DenseVector(result.Count);
+            Vector<double> product = new DenseVector(result.Count);
             matrix.Multiply(result, product);
 
             for (var i = 0; i < product.Count; i++)

src/UnitTests/LinearAlgebraTests/Double/Solvers/Preconditioners/IlutpTest.cs

@@ -4,6 +4,8 @@ namespace MathNet.Numerics.UnitTests.LinearAlgebraTests.Double.Solvers.Precondit
     using System.Reflection;
     using LinearAlgebra.Double;
     using LinearAlgebra.Double.Solvers.Preconditioners;
+    using LinearAlgebra.Generic;
+    using LinearAlgebra.Generic.Solvers.Preconditioners;
     using MbUnit.Framework;
 
     [TestFixture]
@@ -71,7 +73,7 @@ namespace MathNet.Numerics.UnitTests.LinearAlgebraTests.Double.Solvers.Precondit
             return result;
         }
 
-        internal override IPreConditioner CreatePreconditioner()
+        internal override IPreConditioner<double> CreatePreconditioner()
         {
             _pivotTolerance = 0;
             _dropTolerance = 0.0;
@@ -79,13 +81,13 @@ namespace MathNet.Numerics.UnitTests.LinearAlgebraTests.Double.Solvers.Precondit
             return InternalCreatePreconditioner();
         }
 
-        protected override void CheckResult(IPreConditioner preconditioner, SparseMatrix matrix, Vector vector, Vector result)
+        protected override void CheckResult(IPreConditioner<double> preconditioner, SparseMatrix matrix, Vector<double> vector, Vector<double> result)
         {
             Assert.AreEqual(typeof(Ilutp), preconditioner.GetType(), "#01");
 
             // Compute M * result = product
             // compare vector and product. Should be equal
-            Vector product = new DenseVector(result.Count);
+            Vector<double> product = new DenseVector(result.Count);
             matrix.Multiply(result, product);
             for (var i = 0; i < product.Count; i++)
             {
@@ -108,7 +110,7 @@ namespace MathNet.Numerics.UnitTests.LinearAlgebraTests.Double.Solvers.Precondit
             _fillLevel = 100;
             var preconditioner = CreatePreconditioner();
             preconditioner.Initialize(newMatrix);
-            Vector result = new DenseVector(vector.Count);
+            Vector<double> result = new DenseVector(vector.Count);
             preconditioner.Approximate(vector, result);
             CheckResult(preconditioner, newMatrix, vector, result);
         }
@@ -127,7 +129,7 @@ namespace MathNet.Numerics.UnitTests.LinearAlgebraTests.Double.Solvers.Precondit
             _fillLevel = 100;
             var preconditioner = CreatePreconditioner();
             preconditioner.Initialize(newMatrix);
-            Vector result = new DenseVector(vector.Count);
+            Vector<double> result = new DenseVector(vector.Count);
             preconditioner.Approximate(vector, result);
             CheckResult(preconditioner, newMatrix, vector, result);
         }
@@ -240,7 +242,7 @@ namespace MathNet.Numerics.UnitTests.LinearAlgebraTests.Double.Solvers.Precondit
                                      FillLevel = 10
                                  };
             preconditioner.Initialize(newMatrix);
-            Vector result = new DenseVector(vector.Count);
+            Vector<double> result = new DenseVector(vector.Count);
             preconditioner.Approximate(vector, result);
             CheckResult(preconditioner, newMatrix, vector, result);
         }

src/UnitTests/LinearAlgebraTests/Double/Solvers/Preconditioners/IncompleteLUTest.cs

@@ -4,6 +4,8 @@ namespace MathNet.Numerics.UnitTests.LinearAlgebraTests.Double.Solvers.Precondit
     using System.Reflection;
     using LinearAlgebra.Double;
     using LinearAlgebra.Double.Solvers.Preconditioners;
+    using LinearAlgebra.Generic;
+    using LinearAlgebra.Generic.Solvers.Preconditioners;
     using MbUnit.Framework;
 
     [TestFixture]
@@ -22,28 +24,28 @@ namespace MathNet.Numerics.UnitTests.LinearAlgebraTests.Double.Solvers.Precondit
             return (T)obj;
         }
 
-        private static Matrix GetUpperTriangle(IncompleteLU ilu)
+        private static Matrix<double> GetUpperTriangle(IncompleteLU ilu)
         {
-            return GetMethod<Matrix>(ilu, "UpperTriangle");
+            return GetMethod<Matrix<double>>(ilu, "UpperTriangle");
         }
 
-        private static Matrix GetLowerTriangle(IncompleteLU ilu)
+        private static Matrix<double> GetLowerTriangle(IncompleteLU ilu)
         {
-            return GetMethod<Matrix>(ilu, "LowerTriangle");
+            return GetMethod<Matrix<double>>(ilu, "LowerTriangle");
         }
-        
+
-        internal override IPreConditioner CreatePreconditioner()
+        internal override IPreConditioner<double> CreatePreconditioner()
         {
             return new IncompleteLU();
         }
 
-        protected override void CheckResult(IPreConditioner preconditioner, SparseMatrix matrix, Vector vector, Vector result)
+        protected override void CheckResult(IPreConditioner<double> preconditioner, SparseMatrix matrix, Vector<double> vector, Vector<double> result)
         {
             Assert.AreEqual(typeof(IncompleteLU), preconditioner.GetType(), "#01");
 
             // Compute M * result = product
             // compare vector and product. Should be equal
-            Vector product = new DenseVector(result.Count);
+            Vector<double> product = new DenseVector(result.Count);
             matrix.Multiply(result, product);
 
             for (var i = 0; i < product.Count; i++)

src/UnitTests/LinearAlgebraTests/Double/Solvers/Preconditioners/PreConditionerTest.cs

@@ -1,7 +1,8 @@
 namespace MathNet.Numerics.UnitTests.LinearAlgebraTests.Double.Solvers.Preconditioners
 {
     using LinearAlgebra.Double;
-    using LinearAlgebra.Double.Solvers.Preconditioners;
+    using LinearAlgebra.Generic;
+    using LinearAlgebra.Generic.Solvers.Preconditioners;
     using MbUnit.Framework;
 
     public abstract class PreconditionerTest
@@ -19,9 +20,9 @@ namespace MathNet.Numerics.UnitTests.LinearAlgebraTests.Double.Solvers.Precondit
             return matrix;
         }
 
-        protected Vector CreateStandardBcVector(int size)
+        protected Vector<double> CreateStandardBcVector(int size)
         {
-            Vector vector = new DenseVector(size);
+            Vector<double> vector = new DenseVector(size);
             for (var i = 0; i < size; i++)
             {
                 vector[i] = i + 1;
@@ -30,9 +31,9 @@ namespace MathNet.Numerics.UnitTests.LinearAlgebraTests.Double.Solvers.Precondit
             return vector;
         }
 
-        internal abstract IPreConditioner CreatePreconditioner();
+        internal abstract IPreConditioner<double> CreatePreconditioner();
 
-        protected abstract void CheckResult(IPreConditioner preconditioner, SparseMatrix matrix, Vector vector, Vector result);
+        protected abstract void CheckResult(IPreConditioner<double> preconditioner, SparseMatrix matrix, Vector<double> vector, Vector<double> result);
 
         [Test]
         [MultipleAsserts]
@@ -62,7 +63,7 @@ namespace MathNet.Numerics.UnitTests.LinearAlgebraTests.Double.Solvers.Precondit
             var preconditioner = CreatePreconditioner();
             preconditioner.Initialize(newMatrix);
 
-            Vector result = new DenseVector(vector.Count);
+            Vector<double> result = new DenseVector(vector.Count);
             preconditioner.Approximate(vector, result);
 
             CheckResult(preconditioner, newMatrix, vector, result);
@@ -79,7 +80,7 @@ namespace MathNet.Numerics.UnitTests.LinearAlgebraTests.Double.Solvers.Precondit
             var preconditioner = CreatePreconditioner();
             preconditioner.Initialize(newMatrix);
 
-            Vector result = new DenseVector(vector.Count + 10);
+            Vector<double> result = new DenseVector(vector.Count + 10);
             preconditioner.Approximate(vector, result);
         }
 
@@ -94,7 +95,7 @@ namespace MathNet.Numerics.UnitTests.LinearAlgebraTests.Double.Solvers.Precondit
             var preconditioner = CreatePreconditioner();
             preconditioner.Initialize(newMatrix);
 
-            Vector result = new DenseVector(vector.Count + 10);
+            Vector<double> result = new DenseVector(vector.Count + 10);
             preconditioner.Approximate(null, result);
         }
 
@@ -109,7 +110,7 @@ namespace MathNet.Numerics.UnitTests.LinearAlgebraTests.Double.Solvers.Precondit
             var preconditioner = CreatePreconditioner();
             preconditioner.Initialize(newMatrix);
 
-            Vector result = null;
+            Vector<double> result = null;
             preconditioner.Approximate(vector, result);
         }
 

src/UnitTests/LinearAlgebraTests/Double/Solvers/Preconditioners/UnitPreconditionerTest.cs

@@ -2,17 +2,19 @@ namespace MathNet.Numerics.UnitTests.LinearAlgebraTests.Double.Solvers.Precondit
 {
     using LinearAlgebra.Double;
     using LinearAlgebra.Double.Solvers.Preconditioners;
+    using LinearAlgebra.Generic;
+    using LinearAlgebra.Generic.Solvers.Preconditioners;
     using MbUnit.Framework;
 
     [TestFixture]
     public sealed class UnitPreconditionerTest : PreconditionerTest
     {
-        internal override IPreConditioner CreatePreconditioner()
+        internal override IPreConditioner<double> CreatePreconditioner()
         {
             return new UnitPreconditioner();
         }
 
-        protected override void CheckResult(IPreConditioner preconditioner, SparseMatrix matrix, Vector vector, Vector result)
+        protected override void CheckResult(IPreConditioner<double> preconditioner, SparseMatrix matrix, Vector<double> vector, Vector<double> result)
         {
             Assert.AreEqual(typeof(UnitPreconditioner), preconditioner.GetType(), "#01");
 

src/UnitTests/LinearAlgebraTests/Double/Solvers/StopCriterium/DivergenceStopCriteriumTest.cs

@@ -1,8 +1,8 @@
 namespace MathNet.Numerics.UnitTests.LinearAlgebraTests.Double.Solvers.StopCriterium
 {
     using LinearAlgebra.Double;
-    using LinearAlgebra.Double.Solvers.Status;
     using LinearAlgebra.Double.Solvers.StopCriterium;
+    using LinearAlgebra.Generic.Solvers.Status;
     using MbUnit.Framework;
 
     [TestFixture]

src/UnitTests/LinearAlgebraTests/Double/Solvers/StopCriterium/FailureStopCriteriumTest.cs

@@ -1,8 +1,8 @@
 namespace MathNet.Numerics.UnitTests.LinearAlgebraTests.Double.Solvers.StopCriterium
 {
     using LinearAlgebra.Double;
-    using LinearAlgebra.Double.Solvers.Status;
     using LinearAlgebra.Double.Solvers.StopCriterium;
+    using LinearAlgebra.Generic.Solvers.Status;
     using MbUnit.Framework;
 
     [TestFixture]

src/UnitTests/LinearAlgebraTests/Double/Solvers/StopCriterium/IterationCountStopCriteriumTest.cs

@@ -1,8 +1,8 @@
 namespace MathNet.Numerics.UnitTests.LinearAlgebraTests.Double.Solvers.StopCriterium
 {
     using LinearAlgebra.Double;
-    using LinearAlgebra.Double.Solvers.Status;
     using LinearAlgebra.Double.Solvers.StopCriterium;
+    using LinearAlgebra.Generic.Solvers.Status;
     using MbUnit.Framework;
 
     [TestFixture]

src/UnitTests/LinearAlgebraTests/Double/Solvers/StopCriterium/ResidualStopCriteriumTest.cs

@@ -1,8 +1,8 @@
 namespace MathNet.Numerics.UnitTests.LinearAlgebraTests.Double.Solvers.StopCriterium
 {
     using LinearAlgebra.Double;
-    using LinearAlgebra.Double.Solvers.Status;
     using LinearAlgebra.Double.Solvers.StopCriterium;
+    using LinearAlgebra.Generic.Solvers.Status;
     using MbUnit.Framework;
 
     [TestFixture]

src/UnitTests/LinearAlgebraTests/Double/SparseMatrixTests.cs

@@ -31,27 +31,28 @@
 namespace MathNet.Numerics.UnitTests.LinearAlgebraTests.Double
 {
 	using System.Collections.Generic;
+	using LinearAlgebra.Generic;
 	using MbUnit.Framework;
     using LinearAlgebra.Double;
 
     public class SparseMatrixTests : MatrixTests
     {
-        protected override Matrix CreateMatrix(int rows, int columns)
+        protected override Matrix<double> CreateMatrix(int rows, int columns)
         {
             return new SparseMatrix(rows, columns);
         }
 
-        protected override Matrix CreateMatrix(double[,] data)
+        protected override Matrix<double> CreateMatrix(double[,] data)
         {
             return new SparseMatrix(data);
         }
 
-        protected override Vector CreateVector(int size)
+        protected override Vector<double> CreateVector(int size)
         {
             return new SparseVector(size);
         }
 
-        protected override Vector CreateVector(double[] data)
+        protected override Vector<double> CreateVector(double[] data)
         {
             return new SparseVector(data);
         }
@@ -59,7 +60,7 @@ namespace MathNet.Numerics.UnitTests.LinearAlgebraTests.Double
         [Test]
         public void CanCreateMatrixFrom1DArray()
         {
-            var testData = new Dictionary<string, Matrix>
+            var testData = new Dictionary<string, Matrix<double>>
                            {
                                { "Singular3x3", new SparseMatrix(3, 3, new double[] { 1, 1, 1, 1, 1, 1, 2, 2, 2 }) },
                                { "Square3x3", new SparseMatrix(3, 3, new[] { -1.1, 0.0, -4.4, -2.2, 1.1, 5.5, -3.3, 2.2, 6.6 }) },

src/UnitTests/LinearAlgebraTests/Double/SparseVectorTest.cs

@@ -32,17 +32,18 @@ namespace MathNet.Numerics.UnitTests.LinearAlgebraTests.Double
 {
     using System;
     using System.Collections.Generic;
+    using LinearAlgebra.Generic;
     using MbUnit.Framework;
     using LinearAlgebra.Double;
 
     public class SparseVectorTest : VectorTests
     {
-        protected override Vector CreateVector(int size)
+        protected override Vector<double> CreateVector(int size)
         {
             return new SparseVector(size);
         }
 
-        protected override Vector CreateVector(IList<double> data)
+        protected override Vector<double> CreateVector(IList<double> data)
         {
             var vector = new SparseVector(data.Count);
             for (var index = 0; index < data.Count; index++)
@@ -85,7 +86,7 @@ namespace MathNet.Numerics.UnitTests.LinearAlgebraTests.Double
         [MultipleAsserts]
         public void CanCreateSparseVectorFromAnotherVector()
         {
-            var vector = (Vector)new SparseVector(Data);
+            var vector = (Vector<double>)new SparseVector(Data);
             var other = new SparseVector(vector);
 
             Assert.AreNotSame(vector, other);
@@ -257,7 +258,7 @@ namespace MathNet.Numerics.UnitTests.LinearAlgebraTests.Double
         {
             var vector1 = CreateVector(Data);
             var vector2 = CreateVector(Data);
-            Matrix m = Vector.OuterProduct(vector1, vector2);
+            Matrix<double> m = Vector<double>.OuterProduct(vector1, vector2);
             for (var i = 0; i < vector1.Count; i++)
             {
                 for (var j = 0; j < vector2.Count; j++)
@@ -273,7 +274,7 @@ namespace MathNet.Numerics.UnitTests.LinearAlgebraTests.Double
         {
             SparseVector vector1 = null;
             var vector2 = CreateVector(Data);
-            Vector.OuterProduct(vector1, vector2);
+            Vector<double>.OuterProduct(vector1, vector2);
         }
 
         [Test]
@@ -282,7 +283,7 @@ namespace MathNet.Numerics.UnitTests.LinearAlgebraTests.Double
         {
             var vector1 = CreateVector(Data);
             SparseVector vector2 = null;
-            Vector.OuterProduct(vector1, vector2);
+            Vector<double>.OuterProduct(vector1, vector2);
         }
         #endregion
 
@@ -290,7 +291,7 @@ namespace MathNet.Numerics.UnitTests.LinearAlgebraTests.Double
         [MultipleAsserts]
         public void CanCreateSparseVectorFromDenseVector()
         {
-            var vector = (Vector)new DenseVector(Data);
+            var vector = (Vector<double>)new DenseVector(Data);
             var other = new SparseVector(vector);
 
             Assert.AreNotSame(vector, other);

src/UnitTests/LinearAlgebraTests/Double/UserDefinedMatrixTests.cs

@@ -30,9 +30,14 @@
 
 namespace MathNet.Numerics.UnitTests.LinearAlgebraTests.Double
 {
-    using LinearAlgebra.Double;
+    using System;
+    using System.Text;
+    using Distributions;
+    using LinearAlgebra.Generic;
+    using Properties;
+    using Threading;
 
-    internal class UserDefinedMatrix : Matrix
+    internal class UserDefinedMatrix : Matrix<double>
     {
         private readonly double[,] _data;
 
@@ -61,12 +66,12 @@ namespace MathNet.Numerics.UnitTests.LinearAlgebraTests.Double
             _data[row, column] = value;
         }
 
-        public override Matrix CreateMatrix(int numberOfRows, int numberOfColumns)
+        public override Matrix<double> CreateMatrix(int numberOfRows, int numberOfColumns)
         {
             return new UserDefinedMatrix(numberOfRows, numberOfColumns);
         }
 
-        public override Vector CreateVector(int size)
+        public override Vector<double> CreateVector(int size)
         {
             return new UserDefinedVector(size);
         }
@@ -81,26 +86,115 @@ namespace MathNet.Numerics.UnitTests.LinearAlgebraTests.Double
 
             return m;
         }
+
+        public override void Negate()
+        {
+            Multiply(-1);
+        }
+
+        public override Matrix<double> Random(int numberOfRows, int numberOfColumns, IContinuousDistribution distribution)
+        {
+            if (numberOfRows < 1)
+            {
+                throw new ArgumentException(Resources.ArgumentMustBePositive, "numberOfRows");
+            }
+
+            if (numberOfColumns < 1)
+            {
+                throw new ArgumentException(Resources.ArgumentMustBePositive, "numberOfColumns");
+            }
+
+            var matrix = CreateMatrix(numberOfRows, numberOfColumns);
+            CommonParallel.For(
+                0,
+                ColumnCount,
+                j =>
+                {
+                    for (var i = 0; i < matrix.RowCount; i++)
+                    {
+                        matrix[i, j] = distribution.Sample();
+                    }
+                });
+
+            return matrix;
+        }
+
+        public override Matrix<double> Random(int numberOfRows, int numberOfColumns, IDiscreteDistribution distribution)
+        {
+            if (numberOfRows < 1)
+            {
+                throw new ArgumentException(Resources.ArgumentMustBePositive, "numberOfRows");
+            }
+
+            if (numberOfColumns < 1)
+            {
+                throw new ArgumentException(Resources.ArgumentMustBePositive, "numberOfColumns");
+            }
+
+            var matrix = CreateMatrix(numberOfRows, numberOfColumns);
+            CommonParallel.For(
+                0,
+                ColumnCount,
+                j =>
+                {
+                    for (var i = 0; i < matrix.RowCount; i++)
+                    {
+                        matrix[i, j] = distribution.Sample();
+                    }
+                });
+
+            return matrix;
+        }
+
+        protected sealed override double AddT(double val1, double val2)
+        {
+            return val1 + val2;
+        }
+
+        protected sealed override double SubtractT(double val1, double val2)
+        {
+            return val1 - val2;
+        }
+
+        protected sealed override double MultiplyT(double val1, double val2)
+        {
+            return val1 * val2;
+        }
+
+        protected sealed override double DivideT(double val1, double val2)
+        {
+            return val1 / val2;
+        }
+
+        protected sealed override bool IsOneT(double val1)
+        {
+            return 1.0.AlmostEqualInDecimalPlaces(val1, 15);
+        }
+
+        protected sealed override double AbsoluteT(double val1)
+        {
+            return Math.Abs(val1);
+        }
     }
 
     public class UserDefinedMatrixTests : MatrixTests
     {
-        protected override Matrix CreateMatrix(int rows, int columns)
+        protected override Matrix<double> CreateMatrix(int rows, int columns)
         {
             return new UserDefinedMatrix(rows, columns);
         }
 
-        protected override Matrix CreateMatrix(double[,] data)
+        protected override Matrix<double> CreateMatrix(double[,] data)
         {
             return new UserDefinedMatrix(data);
         }
 
-        protected override Vector CreateVector(int size)
+        protected override Vector<double> CreateVector(int size)
         {
             return new UserDefinedVector(size);
         }
 
-        protected override Vector CreateVector(double[] data)
+        protected override Vector<double> CreateVector(double[] data)
         {
             return new UserDefinedVector(data);
         }

src/UnitTests/LinearAlgebraTests/Double/UserDefinedVectorTests.cs

@@ -30,10 +30,15 @@
 
 namespace MathNet.Numerics.UnitTests.LinearAlgebraTests.Double
 {
+    using System;
     using System.Collections.Generic;
-    using LinearAlgebra.Double;
+    using System.Text;
+    using Distributions;
+    using LinearAlgebra.Generic;
+    using Properties;
+    using Threading;
 
-    internal class UserDefinedVector : Vector
+    internal class UserDefinedVector : Vector<double>
     {
         private readonly double[] _data;
 
@@ -62,25 +67,149 @@ namespace MathNet.Numerics.UnitTests.LinearAlgebraTests.Double
             }
         }
 
-        public override Matrix CreateMatrix(int rows, int columns)
+        public override Matrix<double> CreateMatrix(int rows, int columns)
         {
             return new UserDefinedMatrix(rows, columns);
         }
 
-        public override Vector CreateVector(int size)
+        public override Vector<double> CreateVector(int size)
         {
             return new UserDefinedVector(size);
         }
+
+        public override Vector<double> Negate()
+        {
+            var result = new UserDefinedVector(Count);
+            CommonParallel.For(
+                0,
+                _data.Length,
+                index => result[index] = -_data[index]);
+
+            return result;
+        }
+
+        public override Vector<double> Random(int length, IContinuousDistribution randomDistribution)
+        {
+            if (length < 1)
+            {
+                throw new ArgumentException(Resources.ArgumentMustBePositive, "length");
+            }
+
+            var v = (UserDefinedVector)CreateVector(length);
+            for (var index = 0; index < v._data.Length; index++)
+            {
+                v._data[index] = randomDistribution.Sample();
+            }
+
+            return v;
+        }
+
+        public override Vector<double> Random(int length, IDiscreteDistribution randomDistribution)
+        {
+            if (length < 1)
+            {
+                throw new ArgumentException(Resources.ArgumentMustBePositive, "length");
+            }
+
+            var v = (UserDefinedVector)CreateVector(length);
+            for (var index = 0; index < v._data.Length; index++)
+            {
+                v._data[index] = randomDistribution.Sample();
+            }
+
+            return v;
+        }
+
+        public override int MinimumIndex()
+        {
+            var index = 0;
+            var min = _data[0];
+            for (var i = 1; i < Count; i++)
+            {
+                if (min > _data[i])
+                {
+                    index = i;
+                    min = _data[i];
+                }
+            }
+
+            return index;
+        }
+
+        public override int MaximumIndex()
+        {
+            var index = 0;
+            var max = _data[0];
+            for (var i = 1; i < Count; i++)
+            {
+                if (max < _data[i])
+                {
+                    index = i;
+                    max = _data[i];
+                }
+            }
+
+            return index;
+        }
+
+        public override Vector<double> Normalize(double p)
+        {
+            if (p < 0.0)
+            {
+                throw new ArgumentOutOfRangeException("p");
+            }
+
+            var norm = Norm(p);
+            var clone = Clone();
+            if (norm == 0.0)
+            {
+                return clone;
+            }
+
+            clone.Multiply(1.0 / norm, clone);
+
+            return clone;
+        }
+        
+        protected sealed override double AddT(double val1, double val2)
+        {
+            return val1 + val2;
+        }
+
+        protected sealed override double SubtractT(double val1, double val2)
+        {
+            return val1 - val2;
+        }
+
+        protected sealed override double MultiplyT(double val1, double val2)
+        {
+            return val1 * val2;
+        }
+
+        protected sealed override double DivideT(double val1, double val2)
+        {
+            return val1 / val2;
+        }
+
+        protected sealed override bool IsOneT(double val1)
+        {
+            return val1 == 1.0;
+        }
+
+        protected sealed override double AbsoluteT(double val1)
+        {
+            return Math.Abs(val1);
+        }
     }
 
     public class UserDefinedVectorTests : VectorTests
     {
-        protected override Vector CreateVector(int size)
+        protected override Vector<double> CreateVector(int size)
         {
             return new UserDefinedVector(size);
         }
 
-        protected override Vector CreateVector(IList<double> data)
+        protected override Vector<double> CreateVector(IList<double> data)
         {
             var vector = new UserDefinedVector(data.Count);
             for (var index = 0; index < data.Count; index++)

src/UnitTests/LinearAlgebraTests/Double/VectorTests.Arithmetic.cs

@@ -28,6 +28,7 @@ namespace MathNet.Numerics.UnitTests.LinearAlgebraTests.Double
 {
     using System;
     using LinearAlgebra.Double;
+    using LinearAlgebra.Generic;
     using MbUnit.Framework;
 
     public abstract partial class VectorTests
@@ -47,8 +48,8 @@ namespace MathNet.Numerics.UnitTests.LinearAlgebraTests.Double
         [Test]
         public void OperatorPlusThrowsArgumentNullExceptionWhenCallOnNullVector()
         {
-            Vector vector = null;
+            Vector<double> vector = null;
-            Vector other = null;
+            Vector<double> other = null;
             Assert.Throws<ArgumentNullException>(() => other = +vector);
         }
 
@@ -154,7 +155,7 @@ namespace MathNet.Numerics.UnitTests.LinearAlgebraTests.Double
         [Test]
         public void AdditionOperatorThrowsArgumentNullExpectionIfAVectorIsNull()
         {
-            Vector a = null;
+            Vector<double> a = null;
             var b = CreateVector(Data.Length);
             Assert.Throws<ArgumentNullException>(() => a += b);
 
@@ -273,8 +274,8 @@ namespace MathNet.Numerics.UnitTests.LinearAlgebraTests.Double
         [Test]
         public void OperatorNegateThrowsArgumentNullExceptionWhenCallOnNullVector()
         {
-            Vector vector = null;
+            Vector<double> vector = null;
-            Vector other = null;
+            Vector<double> other = null;
             Assert.Throws<ArgumentNullException>(() => other = -vector);
         }
 
@@ -379,7 +380,7 @@ namespace MathNet.Numerics.UnitTests.LinearAlgebraTests.Double
         [Test]
         public void SubtractionOperatorThrowsArgumentNullExpectionIfAVectorIsNull()
         {
-            Vector a = null;
+            Vector<double> a = null;
             var b = CreateVector(Data.Length);
             Assert.Throws<ArgumentNullException>(() => a -= b);
 
@@ -650,8 +651,8 @@ namespace MathNet.Numerics.UnitTests.LinearAlgebraTests.Double
         [MultipleAsserts]
         public void OperatorMultiplyThrowsArgumentNullExceptionWhenVectorIsNull()
         {
-            Vector vector = null;
+            Vector<double> vector = null;
-            Vector result = null;
+            Vector<double> result = null;
             Assert.Throws<ArgumentNullException>(() => result = vector * 2.0);
             Assert.Throws<ArgumentNullException>(() => result = 2.0 * vector);
         }
@@ -659,7 +660,7 @@ namespace MathNet.Numerics.UnitTests.LinearAlgebraTests.Double
         [Test]
         public void OperatorDivideThrowsArgumentNullExceptionWhenVectorIsNull()
         {
-            Vector vector = null;
+            Vector<double> vector = null;
             Assert.Throws<ArgumentNullException>(() => vector = vector / 2.0);
         }
 
@@ -677,7 +678,7 @@ namespace MathNet.Numerics.UnitTests.LinearAlgebraTests.Double
         public void DotProductThrowsExceptionWhenArgumentIsNull()
         {
             var dataA = CreateVector(Data);
-            Vector dataB = null;
+            Vector<double> dataB = null;
 
             dataA.DotProduct(dataB);
         }
@@ -706,7 +707,7 @@ namespace MathNet.Numerics.UnitTests.LinearAlgebraTests.Double
         public void OperatorDotProductThrowsExceptionWhenLeftArgumentIsNull()
         {
             var dataA = CreateVector(Data);
-            Vector dataB = null;
+            Vector<double> dataB = null;
 
             var d = dataA * dataB;
         }
@@ -715,7 +716,7 @@ namespace MathNet.Numerics.UnitTests.LinearAlgebraTests.Double
         [ExpectedArgumentNullException]
         public void OperatorDotProductThrowsExceptionWhenRightArgumentIsNull()
         {
-            Vector dataA = null;
+            Vector<double> dataA = null;
             var dataB = CreateVector(Data);
 
             var d = dataA * dataB;
@@ -761,7 +762,7 @@ namespace MathNet.Numerics.UnitTests.LinearAlgebraTests.Double
         public void PointwiseMultiplyWithOtherNullShouldThrowException()
         {
             var vector1 = CreateVector(Data);
-            Vector vector2 = null;
+            Vector<double> vector2 = null;
             var result = CreateVector(vector1.Count);
             vector1.PointwiseMultiply(vector2, result);
         }
@@ -772,7 +773,7 @@ namespace MathNet.Numerics.UnitTests.LinearAlgebraTests.Double
         {
             var vector1 = CreateVector(Data);
             var vector2 = vector1.Clone();
-            Vector result = null;
+            Vector<double> result = null;
             vector1.PointwiseMultiply(vector2, result);
         }
 
@@ -816,7 +817,7 @@ namespace MathNet.Numerics.UnitTests.LinearAlgebraTests.Double
         public void PointwiseDivideWithOtherNullShouldThrowException()
         {
             var vector1 = CreateVector(Data);
-            Vector vector2 = null;
+            Vector<double> vector2 = null;
             var result = CreateVector(vector1.Count);
             vector1.PointwiseDivide(vector2, result);
         }
@@ -827,7 +828,7 @@ namespace MathNet.Numerics.UnitTests.LinearAlgebraTests.Double
         {
             var vector1 = CreateVector(Data);
             var vector2 = vector1.Clone();
-            Vector result = null;
+            Vector<double> result = null;
             vector1.PointwiseDivide(vector2, result);
         }
 
@@ -846,7 +847,7 @@ namespace MathNet.Numerics.UnitTests.LinearAlgebraTests.Double
         {
             var vector1 = CreateVector(Data);
             var vector2 = CreateVector(Data);
-            Matrix m = Vector.OuterProduct(vector1, vector2);
+            Matrix<double> m = Vector<double>.OuterProduct(vector1, vector2);
             for (var i = 0; i < vector1.Count; i++)
             {
                 for (var j = 0; j < vector2.Count; j++)
@@ -860,9 +861,9 @@ namespace MathNet.Numerics.UnitTests.LinearAlgebraTests.Double
         [ExpectedArgumentNullException]
         public void OuterProductWithFirstParameterNullShouldThrowException()
         {
-            Vector vector1 = null;
+            Vector<double> vector1 = null;
             var vector2 = CreateVector(Data);
-            Vector.OuterProduct(vector1, vector2);
+            Vector<double>.OuterProduct(vector1, vector2);
         }
 
         [Test]
@@ -870,8 +871,8 @@ namespace MathNet.Numerics.UnitTests.LinearAlgebraTests.Double
         public void OutercProductWithSecondParameterNullShouldThrowException()
         {
             var vector1 = CreateVector(Data);
-            Vector vector2 = null;
+            Vector<double> vector2 = null;
-            Vector.OuterProduct(vector1, vector2);
+            Vector<double>.OuterProduct(vector1, vector2);
         }
 
         [Test]
@@ -894,7 +895,7 @@ namespace MathNet.Numerics.UnitTests.LinearAlgebraTests.Double
         public void TensorMultiplyWithNullParameterNullShouldThrowException()
         {
             var vector1 = CreateVector(Data);
-            Vector vector2 = null;
+            Vector<double> vector2 = null;
             vector1.TensorMultiply(vector2);
         }
     }

src/UnitTests/LinearAlgebraTests/Double/VectorTests.cs

@@ -31,7 +31,7 @@ namespace MathNet.Numerics.UnitTests.LinearAlgebraTests.Double
     using System.Collections.Generic;
     using System.Globalization;
     using Distributions;
-    using LinearAlgebra.Double;
+    using LinearAlgebra.Generic;
     using MbUnit.Framework;
 
     [TestFixture]
@@ -59,7 +59,7 @@ namespace MathNet.Numerics.UnitTests.LinearAlgebraTests.Double
         public void CanCloneVectorUsingICloneable()
         {
             var vector = CreateVector(Data);
-            var clone = (Vector)((ICloneable)vector).Clone();
+            var clone = (Vector<double>)((ICloneable)vector).Clone();
 
             Assert.AreNotSame(vector, clone);
             Assert.AreEqual(vector.Count, clone.Count);
@@ -196,7 +196,7 @@ namespace MathNet.Numerics.UnitTests.LinearAlgebraTests.Double
         public void VectorGetHashCode()
         {
             var vector = CreateVector(new double[] { 1, 2, 3, 4 });
-            Assert.AreEqual(2145910784, vector.GetHashCode());
+            Assert.AreEqual(2096640, vector.GetHashCode());
         }
 
         [Test]
@@ -433,7 +433,7 @@ namespace MathNet.Numerics.UnitTests.LinearAlgebraTests.Double
             }
         }
 
-        protected abstract Vector CreateVector(int size);
+        protected abstract Vector<double> CreateVector(int size);
-        protected abstract Vector CreateVector(IList<double> data);
+        protected abstract Vector<double> CreateVector(IList<double> data);
     }
 }