<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd"> <html xmlns="http://www.w3.org/1999/xhtml"> <head> <meta http-equiv="Content-Type" content="text/xhtml;charset=UTF-8"/> <meta http-equiv="X-UA-Compatible" content="IE=9"/> <meta name="generator" content="Doxygen 1.8.5"/> <title>Eigen: PastixLLT< _MatrixType, Options > Class Template Reference</title> <link href="tabs.css" rel="stylesheet" type="text/css"/> <script type="text/javascript" src="jquery.js"></script> <script type="text/javascript" src="dynsections.js"></script> <link href="navtree.css" rel="stylesheet" type="text/css"/> <script type="text/javascript" src="resize.js"></script> <script type="text/javascript" src="navtree.js"></script> <script type="text/javascript"> $(document).ready(initResizable); $(window).load(resizeHeight); </script> <link href="search/search.css" rel="stylesheet" type="text/css"/> <script type="text/javascript" src="search/search.js"></script> <script type="text/javascript"> $(document).ready(function() { searchBox.OnSelectItem(0); }); </script> <link href="doxygen.css" rel="stylesheet" type="text/css" /> <link href="eigendoxy.css" rel="stylesheet" type="text/css"> <!-- --> <script type="text/javascript" src="eigen_navtree_hacks.js"></script> <!-- <script type="text/javascript"> --> <!-- </script> --> </head> <body> <div id="top"><!-- do not remove this div, it is closed by doxygen! --> <!-- <a name="top"></a> --> <div id="titlearea"> <table cellspacing="0" cellpadding="0"> <tbody> <tr style="height: 56px;"> <td id="projectlogo"><img alt="Logo" src="Eigen_Silly_Professor_64x64.png"/></td> <td style="padding-left: 0.5em;"> <div id="projectname"><a href="http://eigen.tuxfamily.org">Eigen</a>  <span id="projectnumber">3.2.0</span> </div> </td> <td> <div id="MSearchBox" class="MSearchBoxInactive"> <span class="left"> <img id="MSearchSelect" src="search/mag_sel.png" onmouseover="return searchBox.OnSearchSelectShow()" onmouseout="return searchBox.OnSearchSelectHide()" alt=""/> <input type="text" id="MSearchField" value="Search" accesskey="S" onfocus="searchBox.OnSearchFieldFocus(true)" onblur="searchBox.OnSearchFieldFocus(false)" onkeyup="searchBox.OnSearchFieldChange(event)"/> </span><span class="right"> <a id="MSearchClose" href="javascript:searchBox.CloseResultsWindow()"><img id="MSearchCloseImg" border="0" src="search/close.png" alt=""/></a> </span> </div> </td> </tr> </tbody> </table> </div> <!-- end header part --> <!-- Generated by Doxygen 1.8.5 --> <script type="text/javascript"> var searchBox = new SearchBox("searchBox", "search",false,'Search'); </script> </div><!-- top --> <div id="side-nav" class="ui-resizable side-nav-resizable"> <div id="nav-tree"> <div id="nav-tree-contents"> <div id="nav-sync" class="sync"></div> </div> </div> <div id="splitbar" style="-moz-user-select:none;" class="ui-resizable-handle"> </div> </div> <script type="text/javascript"> $(document).ready(function(){initNavTree('classEigen_1_1PastixLLT.html','');}); </script> <div id="doc-content"> <!-- window showing the filter options --> <div id="MSearchSelectWindow" onmouseover="return searchBox.OnSearchSelectShow()" onmouseout="return searchBox.OnSearchSelectHide()" onkeydown="return searchBox.OnSearchSelectKey(event)"> <a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(0)"><span class="SelectionMark"> </span>All</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(1)"><span class="SelectionMark"> </span>Classes</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(2)"><span class="SelectionMark"> </span>Namespaces</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(3)"><span class="SelectionMark"> </span>Functions</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(4)"><span class="SelectionMark"> </span>Variables</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(5)"><span class="SelectionMark"> </span>Typedefs</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(6)"><span class="SelectionMark"> </span>Enumerations</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(7)"><span class="SelectionMark"> </span>Enumerator</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(8)"><span class="SelectionMark"> </span>Friends</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(9)"><span class="SelectionMark"> </span>Groups</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(10)"><span class="SelectionMark"> </span>Pages</a></div> <!-- iframe showing the search results (closed by default) --> <div id="MSearchResultsWindow"> <iframe src="javascript:void(0)" frameborder="0" name="MSearchResults" id="MSearchResults"> </iframe> </div> <div class="header"> <div class="summary"> <a href="classEigen_1_1PastixLLT-members.html">List of all members</a> | <a href="#pub-methods">Public Member Functions</a> </div> <div class="headertitle"> <div class="title">PastixLLT< _MatrixType, Options > Class Template Reference<div class="ingroups"><a class="el" href="group__PaStiXSupport__Module.html">PaStiXSupport module</a></div></div> </div> </div><!--header--> <div class="contents"> <a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2> <div class="textblock"><h3>template<typename _MatrixType, int Options><br/> class Eigen::PastixLLT< _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 LL^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> </div> <p>Inherits PastixBase< Derived >.</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:a6f2a135bd741b6b2f2558e6a404581ff"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="classEigen_1_1PastixLLT.html#a6f2a135bd741b6b2f2558e6a404581ff">analyzePattern</a> (const MatrixType &matrix)</td></tr> <tr class="separator:a6f2a135bd741b6b2f2558e6a404581ff"><td class="memSeparator" colspan="2"> </td></tr> <tr class="memitem:a05a0eac1c146e9e62df9ec70f5a6f69d"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="classEigen_1_1PastixLLT.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> <tr class="separator:a39e7187739766b84398ef4ab69ebd3b3"><td class="memSeparator" colspan="2"> </td></tr> <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> <tr class="separator:a630a06e066f058db093e7dca06ce45af"><td class="memSeparator" colspan="2"> </td></tr> <tr class="memitem:a33e2421e468033a883c041f940537a7c"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="classEigen_1_1PastixLLT.html#a33e2421e468033a883c041f940537a7c">factorize</a> (const MatrixType &matrix)</td></tr> <tr class="separator:a33e2421e468033a883c041f940537a7c"><td class="memSeparator" colspan="2"> </td></tr> <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> <tr class="separator:a0c06d5c2034ebb329c54235369643ad2"><td class="memSeparator" colspan="2"> </td></tr> <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> <tr class="separator:a33dbeb031de0bc9542eda27e189d5b90"><td class="memSeparator" colspan="2"> </td></tr> <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> <tr class="separator:a97a90db0b2fa4f10c945f800f23e076a"><td class="memSeparator" colspan="2"> </td></tr> <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> <tr class="separator:aba716659ad1cad5bea6c2b45bb3abb6f"><td class="memSeparator" colspan="2"> </td></tr> </table> <h2 class="groupheader">Member Function Documentation</h2> <a class="anchor" id="a6f2a135bd741b6b2f2558e6a404581ff"></a> <div class="memitem"> <div class="memproto"> <table class="mlabels"> <tr> <td class="mlabels-left"> <table class="memname"> <tr> <td class="memname">void analyzePattern </td> <td>(</td> <td class="paramtype">const MatrixType & </td> <td class="paramname"><em>matrix</em></td><td>)</td> <td></td> </tr> </table> </td> <td class="mlabels-right"> <span class="mlabels"><span class="mlabel">inline</span></span> </td> </tr> </table> </div><div class="memdoc"> <p>Compute the LL^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_1PastixLLT.html#a33e2421e468033a883c041f940537a7c">factorize()</a> </dd></dl> </div> </div> <a class="anchor" id="a05a0eac1c146e9e62df9ec70f5a6f69d"></a> <div class="memitem"> <div class="memproto"> <table class="mlabels"> <tr> <td class="mlabels-left"> <table class="memname"> <tr> <td class="memname">void compute </td> <td>(</td> <td class="paramtype">const MatrixType & </td> <td class="paramname"><em>matrix</em></td><td>)</td> <td></td> </tr> </table> </td> <td class="mlabels-right"> <span class="mlabels"><span class="mlabel">inline</span></span> </td> </tr> </table> </div><div class="memdoc"> <p>Compute the L factor of the LL^T supernodal factorization of <code>matrix</code> </p> <dl class="section see"><dt>See Also</dt><dd><a class="el" href="classEigen_1_1PastixLLT.html#a6f2a135bd741b6b2f2558e6a404581ff">analyzePattern()</a> <a class="el" href="classEigen_1_1PastixLLT.html#a33e2421e468033a883c041f940537a7c">factorize()</a> </dd></dl> </div> </div> <a class="anchor" id="a39e7187739766b84398ef4ab69ebd3b3"></a> <div class="memitem"> <div class="memproto"> <table class="mlabels"> <tr> <td class="mlabels-left"> <table class="memname"> <tr> <td class="memname"><a class="el" href="classEigen_1_1Array.html">Array</a><RealScalar,IPARM_SIZE,1>& dparm </td> <td>(</td> <td class="paramname"></td><td>)</td> <td></td> </tr> </table> </td> <td class="mlabels-right"> <span class="mlabels"><span class="mlabel">inline</span><span class="mlabel">inherited</span></span> </td> </tr> </table> </div><div class="memdoc"> <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> </div> </div> <a class="anchor" id="a630a06e066f058db093e7dca06ce45af"></a> <div class="memitem"> <div class="memproto"> <table class="mlabels"> <tr> <td class="mlabels-left"> <table class="memname"> <tr> <td class="memname">double& dparm </td> <td>(</td> <td class="paramtype">int </td> <td class="paramname"><em>idxparam</em></td><td>)</td> <td></td> </tr> </table> </td> <td class="mlabels-right"> <span class="mlabels"><span class="mlabel">inline</span><span class="mlabel">inherited</span></span> </td> </tr> </table> </div><div class="memdoc"> <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> </div> </div> <a class="anchor" id="a33e2421e468033a883c041f940537a7c"></a> <div class="memitem"> <div class="memproto"> <table class="mlabels"> <tr> <td class="mlabels-left"> <table class="memname"> <tr> <td class="memname">void factorize </td> <td>(</td> <td class="paramtype">const MatrixType & </td> <td class="paramname"><em>matrix</em></td><td>)</td> <td></td> </tr> </table> </td> <td class="mlabels-right"> <span class="mlabels"><span class="mlabel">inline</span></span> </td> </tr> </table> </div><div class="memdoc"> <p>Compute the LL^T supernodal numerical factorization of <code>matrix</code> </p> <dl class="section see"><dt>See Also</dt><dd><a class="el" href="classEigen_1_1PastixLLT.html#a6f2a135bd741b6b2f2558e6a404581ff">analyzePattern()</a> </dd></dl> </div> </div> <a class="anchor" id="a0c06d5c2034ebb329c54235369643ad2"></a> <div class="memitem"> <div class="memproto"> <table class="mlabels"> <tr> <td class="mlabels-left"> <table class="memname"> <tr> <td class="memname"><a class="el" href="group__enums.html#ga51bc1ac16f26ebe51eae1abb77bd037b">ComputationInfo</a> info </td> <td>(</td> <td class="paramname"></td><td>)</td> <td> const</td> </tr> </table> </td> <td class="mlabels-right"> <span class="mlabels"><span class="mlabel">inline</span><span class="mlabel">inherited</span></span> </td> </tr> </table> </div><div class="memdoc"> <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> </div> </div> <a class="anchor" id="a33dbeb031de0bc9542eda27e189d5b90"></a> <div class="memitem"> <div class="memproto"> <table class="mlabels"> <tr> <td class="mlabels-left"> <table class="memname"> <tr> <td class="memname"><a class="el" href="classEigen_1_1Array.html">Array</a><Index,IPARM_SIZE,1>& iparm </td> <td>(</td> <td class="paramname"></td><td>)</td> <td></td> </tr> </table> </td> <td class="mlabels-right"> <span class="mlabels"><span class="mlabel">inline</span><span class="mlabel">inherited</span></span> </td> </tr> </table> </div><div class="memdoc"> <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> </div> </div> <a class="anchor" id="a97a90db0b2fa4f10c945f800f23e076a"></a> <div class="memitem"> <div class="memproto"> <table class="mlabels"> <tr> <td class="mlabels-left"> <table class="memname"> <tr> <td class="memname">int& iparm </td> <td>(</td> <td class="paramtype">int </td> <td class="paramname"><em>idxparam</em></td><td>)</td> <td></td> </tr> </table> </td> <td class="mlabels-right"> <span class="mlabels"><span class="mlabel">inline</span><span class="mlabel">inherited</span></span> </td> </tr> </table> </div><div class="memdoc"> <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> </div> </div> <a class="anchor" id="a23c397917859a65ea35f10b1f70a1f16"></a> <div class="memitem"> <div class="memproto"> <table class="mlabels"> <tr> <td class="mlabels-left"> <table class="memname"> <tr> <td class="memname">const internal::solve_retval<PastixBase, Rhs> solve </td> <td>(</td> <td class="paramtype">const <a class="el" href="classEigen_1_1MatrixBase.html">MatrixBase</a>< Rhs > & </td> <td class="paramname"><em>b</em></td><td>)</td> <td> const</td> </tr> </table> </td> <td class="mlabels-right"> <span class="mlabels"><span class="mlabel">inline</span><span class="mlabel">inherited</span></span> </td> </tr> </table> </div><div class="memdoc"> <dl class="section return"><dt>Returns</dt><dd>the solution x of <img class="formulaInl" alt="$ A x = b $" src="form_3.png"/> using the current decomposition of A.</dd></dl> <dl class="section see"><dt>See Also</dt><dd>compute() </dd></dl> </div> </div> <a class="anchor" id="aba716659ad1cad5bea6c2b45bb3abb6f"></a> <div class="memitem"> <div class="memproto"> <table class="mlabels"> <tr> <td class="mlabels-left"> <table class="memname"> <tr> <td class="memname">const internal::sparse_solve_retval<PastixBase, Rhs> solve </td> <td>(</td> <td class="paramtype">const <a class="el" href="classEigen_1_1SparseMatrixBase.html">SparseMatrixBase</a>< Rhs > & </td> <td class="paramname"><em>b</em></td><td>)</td> <td> const</td> </tr> </table> </td> <td class="mlabels-right"> <span class="mlabels"><span class="mlabel">inline</span><span class="mlabel">inherited</span></span> </td> </tr> </table> </div><div class="memdoc"> <dl class="section return"><dt>Returns</dt><dd>the solution x of <img class="formulaInl" alt="$ 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> </div> </div> <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> </div><!-- contents --> </div><!-- doc-content --> <!-- start footer part --> <div id="nav-path" class="navpath"><!-- id is needed for treeview function! --> <ul> <li class="navelem"><a class="el" href="namespaceEigen.html">Eigen</a></li><li class="navelem"><a class="el" href="classEigen_1_1PastixLLT.html">PastixLLT</a></li> <li class="footer">Generated on Mon Oct 28 2013 11:04:30 for Eigen by <a href="http://www.doxygen.org/index.html"> <img class="footer" src="doxygen.png" alt="doxygen"/></a> 1.8.5 </li> </ul> </div> <!-- Piwik --> <!-- <script type="text/javascript"> var pkBaseURL = (("https:" == document.location.protocol) ? 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