<!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: PardisoLDLT< _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_1PardisoLDLT.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_1PardisoLDLT-members.html">List of all members</a> |
<a href="#pub-methods">Public Member Functions</a> </div>
<div class="headertitle">
<div class="title">PardisoLDLT< _MatrixType, Options > Class Template Reference<div class="ingroups"><a class="el" href="group__PardisoSupport__Module.html">PardisoSupport 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 = Upper><br/>
class Eigen::PardisoLDLT< _MatrixType, Options ></h3>
<p>A sparse direct Cholesky (<a class="el" href="classEigen_1_1LDLT.html" title="Robust Cholesky decomposition of a matrix with pivoting. ">LDLT</a>) factorization and solver based on the PARDISO library. </p>
<p>This class allows to solve for A.X = B sparse linear problems via a LDL^T Cholesky factorization using the Intel MKL PARDISO library. The sparse matrix A is assumed to be selfajoint and positive definite. For complex matrices, A can also be symmetric only, see the <em>Options</em> template parameter. 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">Options</td><td>can be any bitwise combination of Upper, Lower, and Symmetric. The default is Upper, meaning only the upper triangular part has to be used. Symmetric can be used for symmetric, non-selfadjoint complex matrices, the default being to assume a selfadjoint matrix. Upper|Lower can be used to tell both triangular parts can be used as input.</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 PardisoImpl< 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:ab0129109d9d29e052c0e1d0231a5d79e"><td class="memItemLeft" align="right" valign="top">Derived & </td><td class="memItemRight" valign="bottom"><b>analyzePattern</b> (const MatrixType &matrix)</td></tr>
<tr class="separator:ab0129109d9d29e052c0e1d0231a5d79e"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:a2d06a3fe40014fc82ab8204578cf2d0b"><td class="memItemLeft" align="right" valign="top">Derived & </td><td class="memItemRight" valign="bottom"><b>factorize</b> (const MatrixType &matrix)</td></tr>
<tr class="separator:a2d06a3fe40014fc82ab8204578cf2d0b"><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:a32506fe389dcf91339e0490d296fdf40"><td class="memItemLeft" align="right" valign="top"><a class="el" href="classEigen_1_1Array.html">ParameterType</a> & </td><td class="memItemRight" valign="bottom"><b>pardisoParameterArray</b> ()</td></tr>
<tr class="separator:a32506fe389dcf91339e0490d296fdf40"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:a3d48fafcd8aaed4329a332479388308a"><td class="memTemplParams" colspan="2">template<typename Rhs > </td></tr>
<tr class="memitem:a3d48fafcd8aaed4329a332479388308a"><td class="memTemplItemLeft" align="right" valign="top">const internal::solve_retval<br class="typebreak"/>
< PardisoImpl, 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:a3d48fafcd8aaed4329a332479388308a"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:a8e4d2360a5ca6b8dd225fe45a55b89f5"><td class="memTemplParams" colspan="2">template<typename Rhs > </td></tr>
<tr class="memitem:a8e4d2360a5ca6b8dd225fe45a55b89f5"><td class="memTemplItemLeft" align="right" valign="top">const <br class="typebreak"/>
internal::sparse_solve_retval<br class="typebreak"/>
< PardisoImpl, 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:a8e4d2360a5ca6b8dd225fe45a55b89f5"><td class="memSeparator" colspan="2"> </td></tr>
</table>
<h2 class="groupheader">Member Function Documentation</h2>
<a class="anchor" id="ab0129109d9d29e052c0e1d0231a5d79e"></a>
<div class="memitem">
<div class="memproto">
<table class="mlabels">
<tr>
<td class="mlabels-left">
<table class="memname">
<tr>
<td class="memname">Derived & 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">inherited</span></span> </td>
</tr>
</table>
</div><div class="memdoc">
<p>Performs a symbolic decomposition on the sparcity of <em>matrix</em>.</p>
<p>This function is particularly useful when solving for several problems having the same structure.</p>
<dl class="section see"><dt>See Also</dt><dd>factorize() </dd></dl>
</div>
</div>
<a class="anchor" id="a2d06a3fe40014fc82ab8204578cf2d0b"></a>
<div class="memitem">
<div class="memproto">
<table class="mlabels">
<tr>
<td class="mlabels-left">
<table class="memname">
<tr>
<td class="memname">Derived & 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">inherited</span></span> </td>
</tr>
</table>
</div><div class="memdoc">
<p>Performs a numeric decomposition of <em>matrix</em> </p>
<p>The given matrix must has the same sparcity than the matrix on which the symbolic decomposition has been performed.</p>
<dl class="section see"><dt>See Also</dt><dd>analyzePattern() </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 matrix appears to be negative. </dd></dl>
</div>
</div>
<a class="anchor" id="a32506fe389dcf91339e0490d296fdf40"></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">ParameterType</a>& pardisoParameterArray </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">
<dl class="section warning"><dt>Warning</dt><dd>for advanced usage only. </dd></dl>
<dl class="section return"><dt>Returns</dt><dd>a reference to the parameter array controlling PARDISO. See the PARDISO manual to know how to use it. </dd></dl>
</div>
</div>
<a class="anchor" id="a3d48fafcd8aaed4329a332479388308a"></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<PardisoImpl, 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 $" src="form_3.png"/> using the current decomposition of A.</dd></dl>
<dl class="section see"><dt>See Also</dt><dd>compute() </dd></dl>
</div>
</div>
<a class="anchor" id="a8e4d2360a5ca6b8dd225fe45a55b89f5"></a>
<div class="memitem">
<div class="memproto">
<table class="mlabels">
<tr>
<td class="mlabels-left">
<table class="memname">
<tr>
<td class="memname">const internal::sparse_solve_retval<PardisoImpl, Rhs> solve </td>
<td>(</td>
<td class="paramtype">const <a class="el" href="classEigen_1_1SparseMatrixBase.html">SparseMatrixBase</a>< Rhs > & </td>
<td class="paramname"><em>b</em></td><td>)</td>
<td> const</td>
</tr>
</table>
</td>
<td class="mlabels-right">
<span class="mlabels"><span class="mlabel">inline</span><span class="mlabel">inherited</span></span> </td>
</tr>
</table>
</div><div class="memdoc">
<dl class="section return"><dt>Returns</dt><dd>the solution x of <img class="formulaInl" alt="$ 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="PardisoSupport_8h_source.html">PardisoSupport.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_1PardisoLDLT.html">PardisoLDLT</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) ? "https://stats.sylphide-consulting.com/piwik/" : "http://stats.sylphide-consulting.com/piwik/");
document.write(unescape("%3Cscript src='" + pkBaseURL + "piwik.js' type='text/javascript'%3E%3C/script%3E"));
</script><script type="text/javascript">
try {
var piwikTracker = Piwik.getTracker(pkBaseURL + "piwik.php", 20);
piwikTracker.trackPageView();
piwikTracker.enableLinkTracking();
} catch( err ) {}
</script><noscript><p><img src="http://stats.sylphide-consulting.com/piwik/piwik.php?idsite=20" style="border:0" alt="" /></p></noscript>
-->
<!-- End Piwik Tracking Code -->
</body>
</html>
