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<div class="title">IterativeSolverBase< Derived > Class Template Reference<div class="ingroups"><a class="el" href="group__IterativeLinearSolvers__Module.html">IterativeLinearSolvers module</a></div></div> </div>
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<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
<div class="textblock"><h3>template<typename Derived><br/>
class Eigen::IterativeSolverBase< Derived ></h3>
<p>Base class for linear iterative solvers. </p>
<dl class="section see"><dt>See Also</dt><dd>class <a class="el" href="classEigen_1_1SimplicialCholesky.html">SimplicialCholesky</a>, <a class="el" href="classEigen_1_1DiagonalPreconditioner.html" title="A preconditioner based on the digonal entries. ">DiagonalPreconditioner</a>, <a class="el" href="classEigen_1_1IdentityPreconditioner.html" title="A naive preconditioner which approximates any matrix as the identity matrix. ">IdentityPreconditioner</a> </dd></dl>
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<p>Inherits noncopyable.</p>
<table class="memberdecls">
<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="pub-methods"></a>
Public Member Functions</h2></td></tr>
<tr class="memitem:ae044142449c071af13afc4fbbe633682"><td class="memItemLeft" align="right" valign="top">Derived & </td><td class="memItemRight" valign="bottom"><a class="el" href="classEigen_1_1IterativeSolverBase.html#ae044142449c071af13afc4fbbe633682">analyzePattern</a> (const MatrixType &A)</td></tr>
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<tr class="memitem:a693a8142a905e7130bacd77586a6f6a0"><td class="memItemLeft" align="right" valign="top">Derived & </td><td class="memItemRight" valign="bottom"><a class="el" href="classEigen_1_1IterativeSolverBase.html#a693a8142a905e7130bacd77586a6f6a0">compute</a> (const MatrixType &A)</td></tr>
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<tr class="memitem:a736349b3462f6ebf37c34b450db2ed18"><td class="memItemLeft" align="right" valign="top">RealScalar </td><td class="memItemRight" valign="bottom"><a class="el" href="classEigen_1_1IterativeSolverBase.html#a736349b3462f6ebf37c34b450db2ed18">error</a> () const </td></tr>
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<tr class="memitem:ab837a9d99eea1f79dd4721727ef98d37"><td class="memItemLeft" align="right" valign="top">Derived & </td><td class="memItemRight" valign="bottom"><a class="el" href="classEigen_1_1IterativeSolverBase.html#ab837a9d99eea1f79dd4721727ef98d37">factorize</a> (const MatrixType &A)</td></tr>
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<tr class="memitem:a0c06d5c2034ebb329c54235369643ad2"><td class="memItemLeft" align="right" valign="top"><a class="el" href="group__enums.html#ga51bc1ac16f26ebe51eae1abb77bd037b">ComputationInfo</a> </td><td class="memItemRight" valign="bottom"><a class="el" href="classEigen_1_1IterativeSolverBase.html#a0c06d5c2034ebb329c54235369643ad2">info</a> () const </td></tr>
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<tr class="memitem:a07c5f1fe9fa1556edc79452b52839829"><td class="memItemLeft" align="right" valign="top">int </td><td class="memItemRight" valign="bottom"><a class="el" href="classEigen_1_1IterativeSolverBase.html#a07c5f1fe9fa1556edc79452b52839829">iterations</a> () const </td></tr>
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<tr class="memitem:a5140d3e2be1561de7f003504ef1be45d"><td class="memItemLeft" align="right" valign="top"> </td><td class="memItemRight" valign="bottom"><a class="el" href="classEigen_1_1IterativeSolverBase.html#a5140d3e2be1561de7f003504ef1be45d">IterativeSolverBase</a> ()</td></tr>
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<tr class="memitem:a81b1c0c3c9d19709b15e03a47ea90ef0"><td class="memItemLeft" align="right" valign="top"> </td><td class="memItemRight" valign="bottom"><a class="el" href="classEigen_1_1IterativeSolverBase.html#a81b1c0c3c9d19709b15e03a47ea90ef0">IterativeSolverBase</a> (const MatrixType &A)</td></tr>
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<tr class="memitem:a9c020a2e26d3081eeff611b802962530"><td class="memItemLeft" align="right" valign="top">int </td><td class="memItemRight" valign="bottom"><a class="el" href="classEigen_1_1IterativeSolverBase.html#a9c020a2e26d3081eeff611b802962530">maxIterations</a> () const </td></tr>
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<tr class="memitem:ae4bec7fa55f17f7bb64b6b2fc4039b58"><td class="memItemLeft" align="right" valign="top">Preconditioner & </td><td class="memItemRight" valign="bottom"><a class="el" href="classEigen_1_1IterativeSolverBase.html#ae4bec7fa55f17f7bb64b6b2fc4039b58">preconditioner</a> ()</td></tr>
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<tr class="memitem:a11aed1f82ecbec6d7436915c6d804d7a"><td class="memItemLeft" align="right" valign="top">const Preconditioner & </td><td class="memItemRight" valign="bottom"><a class="el" href="classEigen_1_1IterativeSolverBase.html#a11aed1f82ecbec6d7436915c6d804d7a">preconditioner</a> () const </td></tr>
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<tr class="memitem:ad9aa2f8ecfda11aba72cfd3c5eefae20"><td class="memItemLeft" align="right" valign="top">Derived & </td><td class="memItemRight" valign="bottom"><a class="el" href="classEigen_1_1IterativeSolverBase.html#ad9aa2f8ecfda11aba72cfd3c5eefae20">setMaxIterations</a> (int maxIters)</td></tr>
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<tr class="memitem:a39b43ecdc61211a15d1e986e28a03513"><td class="memItemLeft" align="right" valign="top">Derived & </td><td class="memItemRight" valign="bottom"><a class="el" href="classEigen_1_1IterativeSolverBase.html#a39b43ecdc61211a15d1e986e28a03513">setTolerance</a> (const RealScalar &<a class="el" href="classEigen_1_1IterativeSolverBase.html#aab135f12fadf495a511f20c71557e1aa">tolerance</a>)</td></tr>
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<tr class="memitem:acae1088225b7c746b16848d02d5e1c2a"><td class="memTemplParams" colspan="2">template<typename Rhs > </td></tr>
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< Derived, Rhs > </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="classEigen_1_1IterativeSolverBase.html#acae1088225b7c746b16848d02d5e1c2a">solve</a> (const <a class="el" href="classEigen_1_1MatrixBase.html">MatrixBase</a>< Rhs > &b) const </td></tr>
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<tr class="memitem:a7892f6fbc52bfa658e1324a63d376d1c"><td class="memTemplParams" colspan="2">template<typename Rhs > </td></tr>
<tr class="memitem:a7892f6fbc52bfa658e1324a63d376d1c"><td class="memTemplItemLeft" align="right" valign="top">const <br class="typebreak"/>
internal::sparse_solve_retval<br class="typebreak"/>
< <a class="el" href="classEigen_1_1IterativeSolverBase.html">IterativeSolverBase</a>, Rhs > </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="classEigen_1_1IterativeSolverBase.html#a7892f6fbc52bfa658e1324a63d376d1c">solve</a> (const <a class="el" href="classEigen_1_1SparseMatrixBase.html">SparseMatrixBase</a>< Rhs > &b) const </td></tr>
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<tr class="memitem:aab135f12fadf495a511f20c71557e1aa"><td class="memItemLeft" align="right" valign="top">RealScalar </td><td class="memItemRight" valign="bottom"><a class="el" href="classEigen_1_1IterativeSolverBase.html#aab135f12fadf495a511f20c71557e1aa">tolerance</a> () const </td></tr>
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<h2 class="groupheader">Constructor & Destructor Documentation</h2>
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<p>Default constructor. </p>
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<p>Initialize the solver with matrix <em>A</em> for further <code>Ax=b</code> solving.</p>
<p>This constructor is a shortcut for the default constructor followed by a call to <a class="el" href="classEigen_1_1IterativeSolverBase.html#a693a8142a905e7130bacd77586a6f6a0">compute()</a>.</p>
<dl class="section warning"><dt>Warning</dt><dd>this class stores a reference to the matrix A as well as some precomputed values that depend on it. Therefore, if <em>A</em> is changed this class becomes invalid. Call <a class="el" href="classEigen_1_1IterativeSolverBase.html#a693a8142a905e7130bacd77586a6f6a0">compute()</a> to update it with the new matrix A, or modify a copy of A. </dd></dl>
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<h2 class="groupheader">Member Function Documentation</h2>
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<td class="memname">Derived& analyzePattern </td>
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<p>Initializes the iterative solver for the sparcity pattern of the matrix <em>A</em> for further solving <code>Ax=b</code> problems.</p>
<p>Currently, this function mostly call analyzePattern on the preconditioner. In the future we might, for instance, implement column reodering for faster matrix vector products. </p>
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<p>Initializes the iterative solver with the matrix <em>A</em> for further solving <code>Ax=b</code> problems.</p>
<p>Currently, this function mostly initialized/compute the preconditioner. In the future we might, for instance, implement column reodering for faster matrix vector products.</p>
<dl class="section warning"><dt>Warning</dt><dd>this class stores a reference to the matrix A as well as some precomputed values that depend on it. Therefore, if <em>A</em> is changed this class becomes invalid. Call <a class="el" href="classEigen_1_1IterativeSolverBase.html#a693a8142a905e7130bacd77586a6f6a0">compute()</a> to update it with the new matrix A, or modify a copy of A. </dd></dl>
<p>Referenced by <a class="el" href="classEigen_1_1IterativeSolverBase.html#a81b1c0c3c9d19709b15e03a47ea90ef0">IterativeSolverBase< ConjugateGradient< _MatrixType, _UpLo, _Preconditioner > >::IterativeSolverBase()</a>.</p>
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<dl class="section return"><dt>Returns</dt><dd>the tolerance error reached during the last solve </dd></dl>
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<p>Initializes the iterative solver with the numerical values of the matrix <em>A</em> for further solving <code>Ax=b</code> problems.</p>
<p>Currently, this function mostly call factorize on the preconditioner.</p>
<dl class="section warning"><dt>Warning</dt><dd>this class stores a reference to the matrix A as well as some precomputed values that depend on it. Therefore, if <em>A</em> is changed this class becomes invalid. Call <a class="el" href="classEigen_1_1IterativeSolverBase.html#a693a8142a905e7130bacd77586a6f6a0">compute()</a> to update it with the new matrix A, or modify a copy of A. </dd></dl>
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<td class="memname"><a class="el" href="group__enums.html#ga51bc1ac16f26ebe51eae1abb77bd037b">ComputationInfo</a> info </td>
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<dl class="section return"><dt>Returns</dt><dd>Success if the iterations converged, and NoConvergence otherwise. </dd></dl>
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<td class="memname">int iterations </td>
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<dl class="section return"><dt>Returns</dt><dd>the number of iterations performed during the last solve </dd></dl>
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<td class="memname">int maxIterations </td>
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<dl class="section return"><dt>Returns</dt><dd>the max number of iterations </dd></dl>
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<td class="memname">Preconditioner& preconditioner </td>
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<dl class="section return"><dt>Returns</dt><dd>a read-write reference to the preconditioner for custom configuration. </dd></dl>
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<td class="memname">const Preconditioner& preconditioner </td>
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<dl class="section return"><dt>Returns</dt><dd>a read-only reference to the preconditioner. </dd></dl>
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<td class="memname">Derived& setMaxIterations </td>
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<p>Sets the max number of iterations </p>
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<td class="memname">Derived& setTolerance </td>
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<p>Sets the tolerance threshold used by the stopping criteria </p>
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<td class="memname">const internal::solve_retval<Derived, Rhs> solve </td>
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<dl class="section return"><dt>Returns</dt><dd>the solution x of <img class="formulaInl" alt="$ A x = b $" src="form_3.png"/> using the current decomposition of A.</dd></dl>
<dl class="section see"><dt>See Also</dt><dd><a class="el" href="classEigen_1_1IterativeSolverBase.html#a693a8142a905e7130bacd77586a6f6a0">compute()</a> </dd></dl>
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<td class="memname">const internal::sparse_solve_retval<<a class="el" href="classEigen_1_1IterativeSolverBase.html">IterativeSolverBase</a>, Rhs> solve </td>
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<td class="paramtype">const <a class="el" href="classEigen_1_1SparseMatrixBase.html">SparseMatrixBase</a>< Rhs > & </td>
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<dl class="section return"><dt>Returns</dt><dd>the solution x of <img class="formulaInl" alt="$ A x = b $" src="form_3.png"/> using the current decomposition of A.</dd></dl>
<dl class="section see"><dt>See Also</dt><dd><a class="el" href="classEigen_1_1IterativeSolverBase.html#a693a8142a905e7130bacd77586a6f6a0">compute()</a> </dd></dl>
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<dl class="section return"><dt>Returns</dt><dd>the tolerance threshold used by the stopping criteria </dd></dl>
<p>Referenced by <a class="el" href="classEigen_1_1IterativeSolverBase.html#a39b43ecdc61211a15d1e986e28a03513">IterativeSolverBase< ConjugateGradient< _MatrixType, _UpLo, _Preconditioner > >::setTolerance()</a>.</p>
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<hr/>The documentation for this class was generated from the following file:<ul>
<li><a class="el" href="IterativeSolverBase_8h_source.html">IterativeSolverBase.h</a></li>
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