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289 lines
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289 lines
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</div><div id="types">
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<h2 class="fixed">Types in MathNet.Numerics.LinearAlgebra.Complex.Solvers</h2>
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<ul>
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<li>
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<a href="../MathNet.Numerics.LinearAlgebra.Complex.Solvers/BiCgStab.htm">BiCgStab</a>
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<a href="../MathNet.Numerics.LinearAlgebra.Complex.Solvers/CompositeSolver.htm">CompositeSolver</a>
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<a href="../MathNet.Numerics.LinearAlgebra.Complex.Solvers/DiagonalPreconditioner.htm">DiagonalPreconditioner</a>
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<a href="../MathNet.Numerics.LinearAlgebra.Complex.Solvers/GpBiCg.htm" class="current">GpBiCg</a>
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<li>
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<a href="../MathNet.Numerics.LinearAlgebra.Complex.Solvers/ILU0Preconditioner.htm">ILU0Preconditioner</a>
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<a href="../MathNet.Numerics.LinearAlgebra.Complex.Solvers/ILUTPPreconditioner.htm">ILUTPPreconditioner</a>
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<a href="../MathNet.Numerics.LinearAlgebra.Complex.Solvers/MILU0Preconditioner.htm">MILU0Preconditioner</a>
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<a href="../MathNet.Numerics.LinearAlgebra.Complex.Solvers/MlkBiCgStab.htm">MlkBiCgStab</a>
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<a href="../MathNet.Numerics.LinearAlgebra.Complex.Solvers/TFQMR.htm">TFQMR</a>
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</ul>
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</div>
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</div>
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<div class="header">
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<p class="class"><strong>Type</strong> GpBiCg</p>
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<p><strong>Namespace</strong> MathNet.Numerics.LinearAlgebra.Complex.Solvers</p>
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<p><strong>Interfaces</strong> <a href="../MathNet.Numerics.LinearAlgebra.Solvers/IIterativeSolver`1.htm">IIterativeSolver<T></a></p>
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</div>
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<div class="sub-header">
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<div id="summary">A Generalized Product Bi-Conjugate Gradient iterative matrix solver. <blockquote class="remarks">
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<p>The Generalized Product Bi-Conjugate Gradient (GPBiCG) solver is an
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alternative version of the Bi-Conjugate Gradient stabilized (CG) solver.
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Unlike the CG solver the GPBiCG solver can be used on
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non-symmetric matrices. Note that much of the success of the solver depends on the selection of the
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proper preconditioner. </p> <p>The GPBiCG algorithm was taken from: GPBiCG(m,l): A hybrid of BiCGSTAB and GPBiCG methods with
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efficiency and robustness S. Fujino Applied Numerical Mathematics, Volume 41, 2002, pp 107 - 117 </p> <p>The example code below provides an indication of the possible use of the
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solver. </p>
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</blockquote>
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</div>
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<h3 class="section">Constructors</h3>
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<ul>
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<li><a href="../MathNet.Numerics.LinearAlgebra.Complex.Solvers/GpBiCg.htm#.ctor">GpBiCg</a></li>
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</ul>
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<h3 class="section">Methods</h3>
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<ul>
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<li><a href="../MathNet.Numerics.LinearAlgebra.Complex.Solvers/GpBiCg.htm#Equals">Equals</a></li>
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<li><a href="../MathNet.Numerics.LinearAlgebra.Complex.Solvers/GpBiCg.htm#GetHashCode">GetHashCode</a></li>
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<li><a href="../MathNet.Numerics.LinearAlgebra.Complex.Solvers/GpBiCg.htm#GetType">GetType</a></li>
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<li><a href="../MathNet.Numerics.LinearAlgebra.Complex.Solvers/GpBiCg.htm#Solve">Solve</a></li>
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<li><a href="../MathNet.Numerics.LinearAlgebra.Complex.Solvers/GpBiCg.htm#ToString">ToString</a></li>
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</ul>
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<h3 class="section">Properties</h3>
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<ul>
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<li><a href="../MathNet.Numerics.LinearAlgebra.Complex.Solvers/GpBiCg.htm#NumberOfBiCgStabSteps">NumberOfBiCgStabSteps</a></li>
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<li><a href="../MathNet.Numerics.LinearAlgebra.Complex.Solvers/GpBiCg.htm#NumberOfGpBiCgSteps">NumberOfGpBiCgSteps</a></li>
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</ul>
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</div>
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<h3 class="section">Public Constructors</h3>
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<div id=".ctor" class="method">
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<h4> <strong>GpBiCg</strong>()</h4>
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<div class="content">
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</div>
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</div>
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<h3 class="section">Public Methods</h3>
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<div id="Equals" class="method">
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<h4><span title="System.bool">bool</span> <strong>Equals</strong>(<span title="System.object">object</span> obj)</h4>
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<div class="content">
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</div>
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</div>
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<div id="GetHashCode" class="method">
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<h4><span title="System.int">int</span> <strong>GetHashCode</strong>()</h4>
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<div class="content">
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</div>
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</div>
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<div id="GetType" class="method">
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<h4><span title="System.Type">Type</span> <strong>GetType</strong>()</h4>
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<div class="content">
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</div>
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</div>
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<div id="Solve" class="method">
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<h4><span title="System.void">void</span> <strong>Solve</strong>(<a href="../MathNet.Numerics.LinearAlgebra/Matrix`1.htm">Matrix<T></a> matrix, <a href="../MathNet.Numerics.LinearAlgebra/Vector`1.htm">Vector<T></a> input, <a href="../MathNet.Numerics.LinearAlgebra/Vector`1.htm">Vector<T></a> result, <a href="../MathNet.Numerics.LinearAlgebra.Solvers/Iterator`1.htm">Iterator<T></a> iterator, <a href="../MathNet.Numerics.LinearAlgebra.Solvers/IPreconditioner`1.htm">IPreconditioner<T></a> preconditioner)</h4>
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<div class="content">Solves the matrix equation Ax = b, where A is the coefficient matrix, b is the
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solution vector and x is the unknown vector.
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<div class="parameters">
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<h5>Parameters</h5>
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<h6><code><a href="../MathNet.Numerics.LinearAlgebra/Matrix`1.htm">Matrix<T></a></code> matrix</h6>
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<p class="comments">The coefficient matrix, <code>A</code>. </p>
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<h6><code><a href="../MathNet.Numerics.LinearAlgebra/Vector`1.htm">Vector<T></a></code> input</h6>
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<p class="comments">The solution vector, <code>b</code> </p>
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<h6><code><a href="../MathNet.Numerics.LinearAlgebra/Vector`1.htm">Vector<T></a></code> result</h6>
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<p class="comments">The result vector, <code>x</code> </p>
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<h6><code><a href="../MathNet.Numerics.LinearAlgebra.Solvers/Iterator`1.htm">Iterator<T></a></code> iterator</h6>
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<p class="comments">The iterator to use to control when to stop iterating. </p>
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<h6><code><a href="../MathNet.Numerics.LinearAlgebra.Solvers/IPreconditioner`1.htm">IPreconditioner<T></a></code> preconditioner</h6>
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<p class="comments">The preconditioner to use for approximations. </p>
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</div>
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</div>
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</div>
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<div id="ToString" class="method">
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<h4><span title="System.string">string</span> <strong>ToString</strong>()</h4>
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<div class="content">
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</div>
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</div>
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<h3 class="section">Public Properties</h3>
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<div id="NumberOfBiCgStabSteps" class="method">
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<h4><span title="System.int">int</span> <strong>NumberOfBiCgStabSteps</strong> get; set;</h4>
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<div class="content">Gets or sets the number of steps taken with the <code>BiCgStab</code> algorithm
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before switching over to the <code>GPBiCG</code> algorithm.
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</div>
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</div>
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<div id="NumberOfGpBiCgSteps" class="method">
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<h4><span title="System.int">int</span> <strong>NumberOfGpBiCgSteps</strong> get; set;</h4>
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<div class="content">Gets or sets the number of steps taken with the <code>GPBiCG</code> algorithm
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before switching over to the <code>BiCgStab</code> algorithm.
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</div>
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</div>
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<div id="footer">
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<p>Based on v5.0.0.0 of MathNet.Numerics (Math.NET Numerics)</p>
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<p>Generated by <a href="http://docu.jagregory.com">docu</a></p>
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