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<a href="classCGAL_1_1Eigen__svd-members.html">List of all members</a> |
<a href="#pub-static-methods">Static Public Member Functions</a> </div>
<div class="headertitle"><div class="title">CGAL::Eigen_svd Class Reference<div class="ingroups"><a class="el" href="group__PkgSolverInterfaceRef.html">CGAL and Solvers Reference</a> » <a class="el" href="group__PkgSolverInterfaceLS.html">Linear Systems</a></div></div></div>
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<p><code>#include <CGAL/Eigen_svd.h></code></p>
<a name="details" id="details"></a><h2 class="groupheader">Definition</h2>
<div class="textblock"><p>The class <code><a class="el" href="classCGAL_1_1Eigen__svd.html" title="The class Eigen_svd provides an algorithm to solve in the least square sense a linear system with a s...">Eigen_svd</a></code> provides an algorithm to solve in the least square sense a linear system with a singular value decomposition using <a class="elRef" href="../Manual/thirdparty.html#thirdpartyEigen">Eigen</a>. </p>
<dl>
<dt>Is model of</dt>
<dd><code><a class="el" href="classSvdTraits.html" title="The concept SvdTraits describes the linear algebra types and algorithms needed to solve in the least ...">SvdTraits</a></code> </dd>
</dl>
<dl class="section examples"><dt>Examples</dt><dd><a class="el" href="Solver_interface_2singular_value_decomposition_8cpp-example.html#_a0">Solver_interface/singular_value_decomposition.cpp</a>.</dd>
</dl>
</div><table class="memberdecls">
<tr class="heading"><td colspan="2"><h2 class="groupheader"><a id="pub-static-methods" name="pub-static-methods"></a>
Static Public Member Functions</h2></td></tr>
<tr class="memitem:a5d29d073c388d5feed7ff27e77c7ff96"><td class="memItemLeft" align="right" valign="top">static <a class="el" href="classCGAL_1_1Eigen__svd.html#a3e7bd7497f099f8537a981209c71a002">FT</a> </td><td class="memItemRight" valign="bottom"><a class="el" href="classCGAL_1_1Eigen__svd.html#a5d29d073c388d5feed7ff27e77c7ff96">solve</a> (const <a class="el" href="classCGAL_1_1Eigen__svd.html#ae058e71473369e7926dd12338dd736c4">Matrix</a> &M, <a class="el" href="classCGAL_1_1Eigen__svd.html#a5823f0588d94f52c6c43f3c03cffc805">Vector</a> &B)</td></tr>
<tr class="memdesc:a5d29d073c388d5feed7ff27e77c7ff96"><td class="mdescLeft"> </td><td class="mdescRight">Solves the system \( MX=B\) (in the least square sense if \( M\) is not square) using a singular value decomposition.The solution is stored in \( B\). <br></td></tr>
<tr class="separator:a5d29d073c388d5feed7ff27e77c7ff96"><td class="memSeparator" colspan="2"> </td></tr>
</table><table class="memberdecls">
<tr class="heading"><td colspan="2"><h2 class="groupheader">Types</h2></td></tr>
<tr class="memitem:a3e7bd7497f099f8537a981209c71a002"><td class="memItemLeft" align="right" valign="top"><a id="a3e7bd7497f099f8537a981209c71a002" name="a3e7bd7497f099f8537a981209c71a002"></a>
typedef double </td><td class="memItemRight" valign="bottom"><b>FT</b></td></tr>
<tr class="separator:a3e7bd7497f099f8537a981209c71a002"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:a5823f0588d94f52c6c43f3c03cffc805"><td class="memItemLeft" align="right" valign="top"><a id="a5823f0588d94f52c6c43f3c03cffc805" name="a5823f0588d94f52c6c43f3c03cffc805"></a>
typedef <a class="el" href="classCGAL_1_1Eigen__vector.html">Eigen_vector</a>< <a class="el" href="classCGAL_1_1Eigen__svd.html#a3e7bd7497f099f8537a981209c71a002">FT</a> > </td><td class="memItemRight" valign="bottom"><b>Vector</b></td></tr>
<tr class="separator:a5823f0588d94f52c6c43f3c03cffc805"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:ae058e71473369e7926dd12338dd736c4"><td class="memItemLeft" align="right" valign="top"><a id="ae058e71473369e7926dd12338dd736c4" name="ae058e71473369e7926dd12338dd736c4"></a>
typedef <a class="el" href="structCGAL_1_1Eigen__matrix.html">Eigen_matrix</a>< <a class="el" href="classCGAL_1_1Eigen__svd.html#a3e7bd7497f099f8537a981209c71a002">FT</a> > </td><td class="memItemRight" valign="bottom"><b>Matrix</b></td></tr>
<tr class="separator:ae058e71473369e7926dd12338dd736c4"><td class="memSeparator" colspan="2"> </td></tr>
</table>
<h2 class="groupheader">Member Function Documentation</h2>
<a id="a5d29d073c388d5feed7ff27e77c7ff96" name="a5d29d073c388d5feed7ff27e77c7ff96"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a5d29d073c388d5feed7ff27e77c7ff96">◆ </a></span>solve()</h2>
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<td class="mlabels-left">
<table class="memname">
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<td class="memname">static <a class="el" href="classCGAL_1_1Eigen__svd.html#a3e7bd7497f099f8537a981209c71a002">FT</a> CGAL::Eigen_svd::solve </td>
<td>(</td>
<td class="paramtype">const <a class="el" href="classCGAL_1_1Eigen__svd.html#ae058e71473369e7926dd12338dd736c4">Matrix</a> & </td>
<td class="paramname"><em>M</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="classCGAL_1_1Eigen__svd.html#a5823f0588d94f52c6c43f3c03cffc805">Vector</a> & </td>
<td class="paramname"><em>B</em> </td>
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<tr>
<td></td>
<td>)</td>
<td></td><td></td>
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<td class="mlabels-right">
<span class="mlabels"><span class="mlabel">static</span></span> </td>
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<p>Solves the system \( MX=B\) (in the least square sense if \( M\) is not square) using a singular value decomposition.The solution is stored in \( B\). </p>
<dl class="section return"><dt>Returns</dt><dd>the condition number of \( M\) </dd></dl>
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<li class="navelem"><b>CGAL</b></li><li class="navelem"><a class="el" href="classCGAL_1_1Eigen__svd.html">Eigen_svd</a></li>
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