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<h1>ops_matrices_eigen.h File Reference</h1>
<p>This file implements eigenvalues/eigenvectors for any kind of matrix-like object.  
<a href="#_details">More...</a></p>
<code>#include &lt;<a class="el" href="math__frwds_8h_source.html">mrpt/math/math_frwds.h</a>&gt;</code><br/>
<code>#include &lt;<a class="el" href="matrices__metaprogramming_8h_source.html">mrpt/math/matrices_metaprogramming.h</a>&gt;</code><br/>
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<p><a href="ops__matrices__eigen_8h_source.html">Go to the source code of this file.</a></p>
<table border="0" cellpadding="0" cellspacing="0">
<tr><td colspan="2"><h2>Namespaces</h2></td></tr>
<tr><td class="memItemLeft" align="right" valign="top">namespace &nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacemrpt.html">mrpt</a></td></tr>

<p><tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight"><p>This is the global namespace for all Mobile Robot Programming Toolkit (MRPT) libraries. </p>
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</p>
<tr><td class="memItemLeft" align="right" valign="top">namespace &nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacemrpt_1_1math.html">mrpt::math</a></td></tr>

<p><tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight"><p>This base provides a set of functions for maths stuff. </p>
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<tr><td class="memItemLeft" align="right" valign="top">namespace &nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacemrpt_1_1math_1_1detail.html">mrpt::math::detail</a></td></tr>
<tr><td colspan="2"><h2>Functions</h2></td></tr>
<tr><td colspan="2"><div class="groupHeader">Matrix eigenvectors</div></td></tr>
<tr><td colspan="2"><div class="groupText"><p><a class="anchor" id="amgrp2232945d7b3e424bc5c28d650e4ec437"></a> </p>
</div></td></tr>
<tr><td class="memTemplParams" colspan="2">template&lt;class MAT , class ARR &gt; </td></tr>
<tr><td class="memTemplItemLeft" align="right" valign="top">void&nbsp;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacemrpt_1_1math_1_1detail.html#ac825c818f24110826993573e99e6e5d1">mrpt::math::detail::tred2</a> (MAT &amp;a, const size_t n, ARR &amp;d, ARR &amp;e)</td></tr>
<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Householder reduction of a real, symmetric matrix a[1..n][1..n].  <a href="#ac825c818f24110826993573e99e6e5d1"></a><br/></td></tr>
<tr><td class="memTemplParams" colspan="2">template&lt;class MAT , class ARR &gt; </td></tr>
<tr><td class="memTemplItemLeft" align="right" valign="top">void&nbsp;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacemrpt_1_1math_1_1detail.html#aeb28edf2874972757a8faad2d7817da3">mrpt::math::detail::tqli</a> (ARR &amp;d, ARR &amp;e, const size_t n, MAT &amp;z)</td></tr>
<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">QL algorithm with implicit shifts, to determine the eigenvalues and eigenvectors of a real, symmetric, tridiagonal matrix, or of a real, symmetric matrix previously reduced by tred2 x11.2.  <a href="#aeb28edf2874972757a8faad2d7817da3"></a><br/></td></tr>
<tr><td class="memTemplParams" colspan="2">template&lt;class MATRIX1 , class MATRIX2 , class VECTOR1 &gt; </td></tr>
<tr><td class="memTemplItemLeft" align="right" valign="top">void&nbsp;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacemrpt_1_1math_1_1detail.html#a045043f4fba2f3f632f470b8904c15c7">mrpt::math::detail::eigenVectorsMatrix</a> (const MATRIX1 &amp;M, MATRIX2 *eVecs, VECTOR1 &amp;eVals)</td></tr>
<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">eigenVectorsMatrix  <a href="#a045043f4fba2f3f632f470b8904c15c7"></a><br/></td></tr>
<tr><td class="memTemplParams" colspan="2">template&lt;class MATRIX1 , class MATRIX2 , class VECTOR1 &gt; </td></tr>
<tr><td class="memTemplItemLeft" align="right" valign="top">void&nbsp;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacemrpt_1_1math_1_1detail.html#a572cd3482278c88f19d23d73b563a333">mrpt::math::detail::eigenVectorsMatrix_special_2x2</a> (const MATRIX1 &amp;M, MATRIX2 *eVecs, VECTOR1 &amp;eVals)</td></tr>
<tr><td class="memTemplParams" colspan="2">template&lt;class T &gt; </td></tr>
<tr><td class="memTemplItemLeft" align="right" valign="top">T&nbsp;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacemrpt_1_1math_1_1detail.html#a9d6678aa44f80a2179318d413ad53480">mrpt::math::detail::pythag</a> (const T a, const T b)</td></tr>
<tr><td class="memTemplParams" colspan="2">template&lt;class T &gt; </td></tr>
<tr><td class="memTemplItemLeft" align="right" valign="top">T&nbsp;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacemrpt_1_1math_1_1detail.html#a3b86e11952445af7d747f6814aa59f7c">mrpt::math::detail::SIGN</a> (T a, T b)</td></tr>
</table>
<hr/><a name="_details"></a><h2>Detailed Description</h2>
<p>This file implements eigenvalues/eigenvectors for any kind of matrix-like object. </p>

<p>Definition in file <a class="el" href="ops__matrices__eigen_8h_source.html">ops_matrices_eigen.h</a>.</p>
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