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<title>IPreconditioner&lt;T&gt; - Math.NET Numerics Documentation</title>
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<a href="../MathNet.Numerics.LinearAlgebra.Solvers/CancellationStopCriterion`1.htm">CancellationStopCriterion&lt;T&gt;</a>
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<p class="class"><strong>Type</strong> IPreconditioner&lt;T&gt;</p>
<p><strong>Namespace</strong> MathNet.Numerics.LinearAlgebra.Solvers</p>
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<div class="sub-header">
<div id="summary">The base interface for preconditioner classes. <blockquote class="remarks">
<p>Preconditioners are used by iterative solvers to improve the convergence
speed of the solving process. Increase in convergence speed
is related to the number of iterations necessary to get a converged solution.
So while in general the use of a preconditioner means that the iterative
solver will perform fewer iterations it does not guarantee that the actual
solution time decreases given that some preconditioners can be expensive to
setup and run. </p> <p>Note that in general changes to the matrix will invalidate the preconditioner
if the changes occur after creating the preconditioner. </p>
</blockquote>
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<h3 class="section">Methods</h3>
<ul>
<li><a href="../MathNet.Numerics.LinearAlgebra.Solvers/IPreconditioner`1.htm#Approximate">Approximate</a></li>
<li><a href="../MathNet.Numerics.LinearAlgebra.Solvers/IPreconditioner`1.htm#Initialize">Initialize</a></li>
</ul>
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<h3 class="section">Public Methods</h3>
<div id="Approximate" class="method">
<h4><span title="System.void">void</span> <strong>Approximate</strong>(<a href="../MathNet.Numerics.LinearAlgebra/Vector`1.htm">Vector&lt;T&gt;</a> rhs, <a href="../MathNet.Numerics.LinearAlgebra/Vector`1.htm">Vector&lt;T&gt;</a> lhs)</h4>
<div class="content">Approximates the solution to the matrix equation .
<div class="parameters">
<h5>Parameters</h5>
<h6><code><a href="../MathNet.Numerics.LinearAlgebra/Vector`1.htm">Vector&lt;T&gt;</a></code> rhs</h6>
<p class="comments">The right hand side vector. </p>
<h6><code><a href="../MathNet.Numerics.LinearAlgebra/Vector`1.htm">Vector&lt;T&gt;</a></code> lhs</h6>
<p class="comments">The left hand side vector. Also known as the result vector. </p>
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<div id="Initialize" class="method">
<h4><span title="System.void">void</span> <strong>Initialize</strong>(<a href="../MathNet.Numerics.LinearAlgebra/Matrix`1.htm">Matrix&lt;T&gt;</a> matrix)</h4>
<div class="content">Initializes the preconditioner and loads the internal data structures.
<div class="parameters">
<h5>Parameters</h5>
<h6><code><a href="../MathNet.Numerics.LinearAlgebra/Matrix`1.htm">Matrix&lt;T&gt;</a></code> matrix</h6>
<p class="comments">The matrix on which the preconditioner is based. </p>
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