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<div class="title">PastixLDLT< _MatrixType, Options > Class Template Reference<div class="ingroups"><a class="el" href="group__PaStiXSupport__Module.html">PaStiXSupport 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 _MatrixType, int Options><br/>
class Eigen::PastixLDLT< _MatrixType, Options ></h3>
<p>A sparse direct supernodal Cholesky (<a class="el" href="classEigen_1_1LLT.html" title="Standard Cholesky decomposition (LL^T) of a matrix and associated features. ">LLT</a>) factorization and solver based on the PaStiX library. </p>
<p>This class is used to solve the linear systems A.X = B via a LDL^T supernodal Cholesky factorization available in the PaStiX library. The matrix A should be symmetric and positive definite WARNING Selfadjoint complex matrices are not supported in the current version of PaStiX The vectors or matrices X and B can be either dense or sparse</p>
<dl class="tparams"><dt>Template Parameters</dt><dd>
<table class="tparams">
<tr><td class="paramname">MatrixType</td><td>the type of the sparse matrix A, it must be a SparseMatrix<> </td></tr>
<tr><td class="paramname">UpLo</td><td>The part of the matrix to use : Lower or Upper. The default is Lower as required by PaStiX</td></tr>
</table>
</dd>
</dl>
<dl class="section see"><dt>See Also</dt><dd><a class="el" href="group__TopicSparseSystems.html#TutorialSparseDirectSolvers">Sparse solvers</a> </dd></dl>
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<p>Inherits PastixBase< Derived >.</p>
<table class="memberdecls">
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Public Member Functions</h2></td></tr>
<tr class="memitem:a6f2a135bd741b6b2f2558e6a404581ff"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="classEigen_1_1PastixLDLT.html#a6f2a135bd741b6b2f2558e6a404581ff">analyzePattern</a> (const MatrixType &matrix)</td></tr>
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<tr class="memitem:a05a0eac1c146e9e62df9ec70f5a6f69d"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="classEigen_1_1PastixLDLT.html#a05a0eac1c146e9e62df9ec70f5a6f69d">compute</a> (const MatrixType &matrix)</td></tr>
<tr class="separator:a05a0eac1c146e9e62df9ec70f5a6f69d"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:a39e7187739766b84398ef4ab69ebd3b3"><td class="memItemLeft" align="right" valign="top"><a class="el" href="classEigen_1_1Array.html">Array</a>< RealScalar, IPARM_SIZE, 1 > & </td><td class="memItemRight" valign="bottom"><b>dparm</b> ()</td></tr>
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<tr class="memitem:a630a06e066f058db093e7dca06ce45af"><td class="memItemLeft" align="right" valign="top">double & </td><td class="memItemRight" valign="bottom"><b>dparm</b> (int idxparam)</td></tr>
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<tr class="memitem:a33e2421e468033a883c041f940537a7c"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="classEigen_1_1PastixLDLT.html#a33e2421e468033a883c041f940537a7c">factorize</a> (const MatrixType &matrix)</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"><b>info</b> () const </td></tr>
<tr class="memdesc:a0c06d5c2034ebb329c54235369643ad2"><td class="mdescLeft"> </td><td class="mdescRight">Reports whether previous computation was successful. <a href="#a0c06d5c2034ebb329c54235369643ad2">More...</a><br/></td></tr>
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<tr class="memitem:a33dbeb031de0bc9542eda27e189d5b90"><td class="memItemLeft" align="right" valign="top"><a class="el" href="classEigen_1_1Array.html">Array</a>< Index, IPARM_SIZE, 1 > & </td><td class="memItemRight" valign="bottom"><b>iparm</b> ()</td></tr>
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<tr class="memitem:a97a90db0b2fa4f10c945f800f23e076a"><td class="memItemLeft" align="right" valign="top">int & </td><td class="memItemRight" valign="bottom"><b>iparm</b> (int idxparam)</td></tr>
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<tr class="memitem:a23c397917859a65ea35f10b1f70a1f16"><td class="memTemplParams" colspan="2">template<typename Rhs > </td></tr>
<tr class="memitem:a23c397917859a65ea35f10b1f70a1f16"><td class="memTemplItemLeft" align="right" valign="top">const internal::solve_retval<br class="typebreak"/>
< PastixBase, Rhs > </td><td class="memTemplItemRight" valign="bottom"><b>solve</b> (const <a class="el" href="classEigen_1_1MatrixBase.html">MatrixBase</a>< Rhs > &b) const </td></tr>
<tr class="separator:a23c397917859a65ea35f10b1f70a1f16"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:aba716659ad1cad5bea6c2b45bb3abb6f"><td class="memTemplParams" colspan="2">template<typename Rhs > </td></tr>
<tr class="memitem:aba716659ad1cad5bea6c2b45bb3abb6f"><td class="memTemplItemLeft" align="right" valign="top">const <br class="typebreak"/>
internal::sparse_solve_retval<br class="typebreak"/>
< PastixBase, Rhs > </td><td class="memTemplItemRight" valign="bottom"><b>solve</b> (const <a class="el" href="classEigen_1_1SparseMatrixBase.html">SparseMatrixBase</a>< Rhs > &b) const </td></tr>
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<h2 class="groupheader">Member Function Documentation</h2>
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<td class="memname">void analyzePattern </td>
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<td class="paramname"><em>matrix</em></td><td>)</td>
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<p>Compute the LDL^T symbolic factorization of <code>matrix</code> using its sparsity pattern The result of this operation can be used with successive matrices having the same pattern as <code>matrix</code> </p>
<dl class="section see"><dt>See Also</dt><dd><a class="el" href="classEigen_1_1PastixLDLT.html#a33e2421e468033a883c041f940537a7c">factorize()</a> </dd></dl>
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<td class="memname">void compute </td>
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<td class="paramname"><em>matrix</em></td><td>)</td>
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<p>Compute the L and D factors of the LDL^T factorization of <code>matrix</code> </p>
<dl class="section see"><dt>See Also</dt><dd><a class="el" href="classEigen_1_1PastixLDLT.html#a6f2a135bd741b6b2f2558e6a404581ff">analyzePattern()</a> <a class="el" href="classEigen_1_1PastixLDLT.html#a33e2421e468033a883c041f940537a7c">factorize()</a> </dd></dl>
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<td class="memname"><a class="el" href="classEigen_1_1Array.html">Array</a><RealScalar,IPARM_SIZE,1>& dparm </td>
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<td class="paramname"></td><td>)</td>
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<p>Returns a reference to the double vector DPARM of PaStiX parameters The statistics related to the different phases of factorization and solve are saved here as well </p>
<dl class="section see"><dt>See Also</dt><dd>analyzePattern() factorize() </dd></dl>
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<td class="memname">double& dparm </td>
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<td class="paramtype">int </td>
<td class="paramname"><em>idxparam</em></td><td>)</td>
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<p>Return a reference to a particular index parameter of the DPARM vector </p>
<dl class="section see"><dt>See Also</dt><dd>dparm() </dd></dl>
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<td class="memname">void factorize </td>
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<td class="paramname"><em>matrix</em></td><td>)</td>
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<p>Compute the LDL^T supernodal numerical factorization of <code>matrix</code> </p>
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<td class="memname"><a class="el" href="group__enums.html#ga51bc1ac16f26ebe51eae1abb77bd037b">ComputationInfo</a> info </td>
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<p>Reports whether previous computation was successful. </p>
<dl class="section return"><dt>Returns</dt><dd><code>Success</code> if computation was succesful, <code>NumericalIssue</code> if the PaStiX reports a problem <code>InvalidInput</code> if the input matrix is invalid</dd></dl>
<dl class="section see"><dt>See Also</dt><dd>iparm() </dd></dl>
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<td class="memname"><a class="el" href="classEigen_1_1Array.html">Array</a><Index,IPARM_SIZE,1>& iparm </td>
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<p>Returns a reference to the integer vector IPARM of PaStiX parameters to modify the default parameters. The statistics related to the different phases of factorization and solve are saved here as well </p>
<dl class="section see"><dt>See Also</dt><dd>analyzePattern() factorize() </dd></dl>
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<td class="memname">int& iparm </td>
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<p>Return a reference to a particular index parameter of the IPARM vector </p>
<dl class="section see"><dt>See Also</dt><dd>iparm() </dd></dl>
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<td class="memname">const internal::solve_retval<PastixBase, Rhs> solve </td>
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<td class="paramname"><em>b</em></td><td>)</td>
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<dl class="section return"><dt>Returns</dt><dd>the solution x of <img class="formulaInl" alt="$ A x = b $" src="form_3.png"/> using the current decomposition of A.</dd></dl>
<dl class="section see"><dt>See Also</dt><dd>compute() </dd></dl>
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<td class="memname">const internal::sparse_solve_retval<PastixBase, Rhs> solve </td>
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<td class="paramtype">const <a class="el" href="classEigen_1_1SparseMatrixBase.html">SparseMatrixBase</a>< Rhs > & </td>
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<dl class="section return"><dt>Returns</dt><dd>the solution x of <img class="formulaInl" alt="$ A x = b $" src="form_3.png"/> using the current decomposition of A.</dd></dl>
<dl class="section see"><dt>See Also</dt><dd>compute() </dd></dl>
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<hr/>The documentation for this class was generated from the following file:<ul>
<li><a class="el" href="PaStiXSupport_8h_source.html">PaStiXSupport.h</a></li>
</ul>
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