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<a href="#define-members">Macros</a> &#124;
<a href="#func-members">Functions</a>  </div>
  <div class="headertitle"><div class="title">EigenValueSymmetric.h File Reference</div></div>
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<div class="textblock"><code>#include &lt;<a class="el" href="_f_p_exception_8h_source.html">Jolt/Core/FPException.h</a>&gt;</code><br />
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<p><a href="_eigen_value_symmetric_8h_source.html">Go to the source code of this file.</a></p>
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Macros</h2></td></tr>
<tr class="memitem:a7de93add3597eb0ea0e78c5cd45f9725" id="r_a7de93add3597eb0ea0e78c5cd45f9725"><td class="memItemLeft" align="right" valign="top">#define&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="#a7de93add3597eb0ea0e78c5cd45f9725">JPH_EVS_ROTATE</a>(a,  i,  j,  k,  l)</td></tr>
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Functions</h2></td></tr>
<tr class="memitem:a63488e363acda8a1bd4cd3d297bf4d54" id="r_a63488e363acda8a1bd4cd3d297bf4d54"><td class="memTemplParams" colspan="2">template&lt;class <a class="el" href="class_vector.html">Vector</a> , class <a class="el" href="class_matrix.html">Matrix</a> &gt; </td></tr>
<tr class="memitem:a63488e363acda8a1bd4cd3d297bf4d54"><td class="memTemplItemLeft" align="right" valign="top"><a class="el" href="_core_8h.html#ad14098b68b8c44ea6112601031268405">JPH_NAMESPACE_BEGIN</a> bool&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="#a63488e363acda8a1bd4cd3d297bf4d54">EigenValueSymmetric</a> (const <a class="el" href="class_matrix.html">Matrix</a> &amp;inMatrix, <a class="el" href="class_matrix.html">Matrix</a> &amp;outEigVec, <a class="el" href="class_vector.html">Vector</a> &amp;outEigVal)</td></tr>
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<h2 class="groupheader">Macro Definition Documentation</h2>
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<h2 class="memtitle"><span class="permalink"><a href="#a7de93add3597eb0ea0e78c5cd45f9725">&#9670;&#160;</a></span>JPH_EVS_ROTATE</h2>

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          <td class="memname">#define JPH_EVS_ROTATE</td>
          <td>(</td>
          <td class="paramtype"></td>          <td class="paramname"><span class="paramname"><em>a</em></span>, </td>
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          <td></td>
          <td class="paramtype"></td>          <td class="paramname"><span class="paramname"><em>i</em></span>, </td>
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          <td class="paramtype"></td>          <td class="paramname"><span class="paramname"><em>j</em></span>, </td>
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          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype"></td>          <td class="paramname"><span class="paramname"><em>k</em></span>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype"></td>          <td class="paramname"><span class="paramname"><em>l</em></span>&#160;)</td>
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<b>Value:</b><div class="fragment"><div class="line">                        g = a(i, j),                            \</div>
<div class="line">                        h = a(k, l),                            \</div>
<div class="line">                        a(i, j) = g - s * (h + g * tau),        \</div>
<div class="line">                        a(k, l) = h + s * (g - h * tau)</div>
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<h2 class="groupheader">Function Documentation</h2>
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<h2 class="memtitle"><span class="permalink"><a href="#a63488e363acda8a1bd4cd3d297bf4d54">&#9670;&#160;</a></span>EigenValueSymmetric()</h2>

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template&lt;class <a class="el" href="class_vector.html">Vector</a> , class <a class="el" href="class_matrix.html">Matrix</a> &gt; </div>
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          <td class="memname"><a class="el" href="_core_8h.html#ad14098b68b8c44ea6112601031268405">JPH_NAMESPACE_BEGIN</a> bool EigenValueSymmetric </td>
          <td>(</td>
          <td class="paramtype">const <a class="el" href="class_matrix.html">Matrix</a> &amp;</td>          <td class="paramname"><span class="paramname"><em>inMatrix</em></span>, </td>
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          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype"><a class="el" href="class_matrix.html">Matrix</a> &amp;</td>          <td class="paramname"><span class="paramname"><em>outEigVec</em></span>, </td>
        </tr>
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          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype"><a class="el" href="class_vector.html">Vector</a> &amp;</td>          <td class="paramname"><span class="paramname"><em>outEigVal</em></span>&#160;)</td>
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<p>Function to determine the eigen vectors and values of a N x N real symmetric matrix by Jacobi transformations. This method is most suitable for N &lt; 10.</p>
<p>Taken and adapted from Numerical Recipes paragraph 11.1</p>
<p>An eigen vector is a vector v for which \(A \: v = \lambda \: v\)</p>
<p>Where: A: A square matrix. \(\lambda\): a non-zero constant value.</p>
<dl class="section see"><dt>See also</dt><dd><a href="https://en.wikipedia.org/wiki/Eigenvalues_and_eigenvectors">https://en.wikipedia.org/wiki/Eigenvalues_and_eigenvectors</a></dd></dl>
<p><a class="el" href="class_matrix.html" title="Templatized matrix class.">Matrix</a> is a matrix type, which has dimensions N x N. </p><dl class="params"><dt>Parameters</dt><dd>
  <table class="params">
    <tr><td class="paramname">inMatrix</td><td>is the matrix of which to return the eigenvalues and vectors </td></tr>
    <tr><td class="paramname">outEigVec</td><td>will contain a matrix whose columns contain the normalized eigenvectors (must be identity before call) </td></tr>
    <tr><td class="paramname">outEigVal</td><td>will contain the eigenvalues </td></tr>
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