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<div class="title">GeneralizedSelfAdjointEigenSolver.h</div>  </div>
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<div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="comment">// This file is part of Eigen, a lightweight C++ template library</span></div>
<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="comment">// for linear algebra.</span></div>
<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;<span class="comment">//</span></div>
<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="comment">// Copyright (C) 2008-2010 Gael Guennebaud &lt;gael.guennebaud@inria.fr&gt;</span></div>
<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="comment">// Copyright (C) 2010 Jitse Niesen &lt;jitse@maths.leeds.ac.uk&gt;</span></div>
<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="comment">//</span></div>
<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="comment">// This Source Code Form is subject to the terms of the Mozilla</span></div>
<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="comment">// Public License v. 2.0. If a copy of the MPL was not distributed</span></div>
<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="comment">// with this file, You can obtain one at http://mozilla.org/MPL/2.0/.</span></div>
<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;</div>
<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;<span class="preprocessor">#ifndef EIGEN_GENERALIZEDSELFADJOINTEIGENSOLVER_H</span></div>
<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;<span class="preprocessor"></span><span class="preprocessor">#define EIGEN_GENERALIZEDSELFADJOINTEIGENSOLVER_H</span></div>
<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;<span class="preprocessor"></span></div>
<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;<span class="preprocessor">#include &quot;./Tridiagonalization.h&quot;</span></div>
<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;</div>
<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;<span class="keyword">namespace </span>Eigen { </div>
<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;</div>
<div class="line"><a name="l00047"></a><span class="lineno">   47</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> _MatrixType&gt;</div>
<div class="line"><a name="l00048"></a><span class="lineno"><a class="line" href="classEigen_1_1GeneralizedSelfAdjointEigenSolver.html">   48</a></span>&#160;<span class="keyword">class </span><a class="code" href="classEigen_1_1GeneralizedSelfAdjointEigenSolver.html">GeneralizedSelfAdjointEigenSolver</a> : <span class="keyword">public</span> <a class="code" href="classEigen_1_1SelfAdjointEigenSolver.html">SelfAdjointEigenSolver</a>&lt;_MatrixType&gt;</div>
<div class="line"><a name="l00049"></a><span class="lineno">   49</span>&#160;{</div>
<div class="line"><a name="l00050"></a><span class="lineno">   50</span>&#160;    <span class="keyword">typedef</span> <a class="code" href="classEigen_1_1SelfAdjointEigenSolver.html">SelfAdjointEigenSolver&lt;_MatrixType&gt;</a> <a class="code" href="classEigen_1_1SelfAdjointEigenSolver.html">Base</a>;</div>
<div class="line"><a name="l00051"></a><span class="lineno">   51</span>&#160;  <span class="keyword">public</span>:</div>
<div class="line"><a name="l00052"></a><span class="lineno">   52</span>&#160;</div>
<div class="line"><a name="l00053"></a><span class="lineno">   53</span>&#160;    <span class="keyword">typedef</span> <span class="keyword">typename</span> Base::Index Index;</div>
<div class="line"><a name="l00054"></a><span class="lineno">   54</span>&#160;    <span class="keyword">typedef</span> _MatrixType MatrixType;</div>
<div class="line"><a name="l00055"></a><span class="lineno">   55</span>&#160;</div>
<div class="line"><a name="l00063"></a><span class="lineno"><a class="line" href="classEigen_1_1GeneralizedSelfAdjointEigenSolver.html#a47cdb96ef5b357fb03a3941431027701">   63</a></span>&#160;    <a class="code" href="classEigen_1_1GeneralizedSelfAdjointEigenSolver.html#a47cdb96ef5b357fb03a3941431027701">GeneralizedSelfAdjointEigenSolver</a>() : <a class="code" href="classEigen_1_1SelfAdjointEigenSolver.html">Base</a>() {}</div>
<div class="line"><a name="l00064"></a><span class="lineno">   64</span>&#160;</div>
<div class="line"><a name="l00077"></a><span class="lineno"><a class="line" href="classEigen_1_1GeneralizedSelfAdjointEigenSolver.html#ab31ca021816541f77cb5f067a93b604a">   77</a></span>&#160;    <a class="code" href="classEigen_1_1GeneralizedSelfAdjointEigenSolver.html#ab31ca021816541f77cb5f067a93b604a">GeneralizedSelfAdjointEigenSolver</a>(Index size)</div>
<div class="line"><a name="l00078"></a><span class="lineno">   78</span>&#160;        : <a class="code" href="classEigen_1_1SelfAdjointEigenSolver.html">Base</a>(size)</div>
<div class="line"><a name="l00079"></a><span class="lineno">   79</span>&#160;    {}</div>
<div class="line"><a name="l00080"></a><span class="lineno">   80</span>&#160;</div>
<div class="line"><a name="l00107"></a><span class="lineno"><a class="line" href="classEigen_1_1GeneralizedSelfAdjointEigenSolver.html#a187d246e7119473853734270c6bf6e5d">  107</a></span>&#160;    <a class="code" href="classEigen_1_1GeneralizedSelfAdjointEigenSolver.html#a187d246e7119473853734270c6bf6e5d">GeneralizedSelfAdjointEigenSolver</a>(<span class="keyword">const</span> MatrixType&amp; matA, <span class="keyword">const</span> MatrixType&amp; matB,</div>
<div class="line"><a name="l00108"></a><span class="lineno">  108</span>&#160;                                      <span class="keywordtype">int</span> options = <a class="code" href="group__enums.html#gga2d78499b99ddc29b9494f7ea33864d52a92a556ff1203acee3bacb02b0d157870">ComputeEigenvectors</a>|<a class="code" href="group__enums.html#gga2d78499b99ddc29b9494f7ea33864d52a3ae14e2ec1852cd8f07f401186f92bb6">Ax_lBx</a>)</div>
<div class="line"><a name="l00109"></a><span class="lineno">  109</span>&#160;      : <a class="code" href="classEigen_1_1SelfAdjointEigenSolver.html">Base</a>(matA.cols())</div>
<div class="line"><a name="l00110"></a><span class="lineno">  110</span>&#160;    {</div>
<div class="line"><a name="l00111"></a><span class="lineno">  111</span>&#160;      <a class="code" href="classEigen_1_1GeneralizedSelfAdjointEigenSolver.html#aaa204ef15aaefac270c0376269083ed6">compute</a>(matA, matB, options);</div>
<div class="line"><a name="l00112"></a><span class="lineno">  112</span>&#160;    }</div>
<div class="line"><a name="l00113"></a><span class="lineno">  113</span>&#160;</div>
<div class="line"><a name="l00154"></a><span class="lineno">  154</span>&#160;    <a class="code" href="classEigen_1_1GeneralizedSelfAdjointEigenSolver.html">GeneralizedSelfAdjointEigenSolver</a>&amp; <a class="code" href="classEigen_1_1GeneralizedSelfAdjointEigenSolver.html#aaa204ef15aaefac270c0376269083ed6">compute</a>(<span class="keyword">const</span> MatrixType&amp; matA, <span class="keyword">const</span> MatrixType&amp; matB,</div>
<div class="line"><a name="l00155"></a><span class="lineno">  155</span>&#160;                                               <span class="keywordtype">int</span> options = <a class="code" href="group__enums.html#gga2d78499b99ddc29b9494f7ea33864d52a92a556ff1203acee3bacb02b0d157870">ComputeEigenvectors</a>|<a class="code" href="group__enums.html#gga2d78499b99ddc29b9494f7ea33864d52a3ae14e2ec1852cd8f07f401186f92bb6">Ax_lBx</a>);</div>
<div class="line"><a name="l00156"></a><span class="lineno">  156</span>&#160;</div>
<div class="line"><a name="l00157"></a><span class="lineno">  157</span>&#160;  <span class="keyword">protected</span>:</div>
<div class="line"><a name="l00158"></a><span class="lineno">  158</span>&#160;</div>
<div class="line"><a name="l00159"></a><span class="lineno">  159</span>&#160;};</div>
<div class="line"><a name="l00160"></a><span class="lineno">  160</span>&#160;</div>
<div class="line"><a name="l00161"></a><span class="lineno">  161</span>&#160;</div>
<div class="line"><a name="l00162"></a><span class="lineno">  162</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> MatrixType&gt;</div>
<div class="line"><a name="l00163"></a><span class="lineno">  163</span>&#160;GeneralizedSelfAdjointEigenSolver&lt;MatrixType&gt;&amp; <a class="code" href="classEigen_1_1GeneralizedSelfAdjointEigenSolver.html#aaa204ef15aaefac270c0376269083ed6">GeneralizedSelfAdjointEigenSolver&lt;MatrixType&gt;::</a></div>
<div class="line"><a name="l00164"></a><span class="lineno"><a class="line" href="classEigen_1_1GeneralizedSelfAdjointEigenSolver.html#aaa204ef15aaefac270c0376269083ed6">  164</a></span>&#160;<a class="code" href="classEigen_1_1GeneralizedSelfAdjointEigenSolver.html#aaa204ef15aaefac270c0376269083ed6">compute</a>(<span class="keyword">const</span> MatrixType&amp; matA, <span class="keyword">const</span> MatrixType&amp; matB, <span class="keywordtype">int</span> options)</div>
<div class="line"><a name="l00165"></a><span class="lineno">  165</span>&#160;{</div>
<div class="line"><a name="l00166"></a><span class="lineno">  166</span>&#160;  eigen_assert(matA.cols()==matA.rows() &amp;&amp; matB.rows()==matA.rows() &amp;&amp; matB.cols()==matB.rows());</div>
<div class="line"><a name="l00167"></a><span class="lineno">  167</span>&#160;  eigen_assert((options&amp;~(EigVecMask|GenEigMask))==0</div>
<div class="line"><a name="l00168"></a><span class="lineno">  168</span>&#160;          &amp;&amp; (options&amp;EigVecMask)!=EigVecMask</div>
<div class="line"><a name="l00169"></a><span class="lineno">  169</span>&#160;          &amp;&amp; ((options&amp;GenEigMask)==0 || (options&amp;GenEigMask)==<a class="code" href="group__enums.html#gga2d78499b99ddc29b9494f7ea33864d52a3ae14e2ec1852cd8f07f401186f92bb6">Ax_lBx</a></div>
<div class="line"><a name="l00170"></a><span class="lineno">  170</span>&#160;           || (options&amp;GenEigMask)==<a class="code" href="group__enums.html#gga2d78499b99ddc29b9494f7ea33864d52aef728f6a0183a2218d9c9ff8387a2550">ABx_lx</a> || (options&amp;GenEigMask)==<a class="code" href="group__enums.html#gga2d78499b99ddc29b9494f7ea33864d52a4313e64c939f7bc1df2a67958ebdbae8">BAx_lx</a>)</div>
<div class="line"><a name="l00171"></a><span class="lineno">  171</span>&#160;          &amp;&amp; <span class="stringliteral">&quot;invalid option parameter&quot;</span>);</div>
<div class="line"><a name="l00172"></a><span class="lineno">  172</span>&#160;</div>
<div class="line"><a name="l00173"></a><span class="lineno">  173</span>&#160;  <span class="keywordtype">bool</span> computeEigVecs = ((options&amp;EigVecMask)==0) || ((options&amp;EigVecMask)==<a class="code" href="group__enums.html#gga2d78499b99ddc29b9494f7ea33864d52a92a556ff1203acee3bacb02b0d157870">ComputeEigenvectors</a>);</div>
<div class="line"><a name="l00174"></a><span class="lineno">  174</span>&#160;</div>
<div class="line"><a name="l00175"></a><span class="lineno">  175</span>&#160;  <span class="comment">// Compute the cholesky decomposition of matB = L L&#39; = U&#39;U</span></div>
<div class="line"><a name="l00176"></a><span class="lineno">  176</span>&#160;  <a class="code" href="classEigen_1_1LLT.html">LLT&lt;MatrixType&gt;</a> cholB(matB);</div>
<div class="line"><a name="l00177"></a><span class="lineno">  177</span>&#160;</div>
<div class="line"><a name="l00178"></a><span class="lineno">  178</span>&#160;  <span class="keywordtype">int</span> type = (options&amp;GenEigMask);</div>
<div class="line"><a name="l00179"></a><span class="lineno">  179</span>&#160;  <span class="keywordflow">if</span>(type==0)</div>
<div class="line"><a name="l00180"></a><span class="lineno">  180</span>&#160;    type = <a class="code" href="group__enums.html#gga2d78499b99ddc29b9494f7ea33864d52a3ae14e2ec1852cd8f07f401186f92bb6">Ax_lBx</a>;</div>
<div class="line"><a name="l00181"></a><span class="lineno">  181</span>&#160;</div>
<div class="line"><a name="l00182"></a><span class="lineno">  182</span>&#160;  <span class="keywordflow">if</span>(type==<a class="code" href="group__enums.html#gga2d78499b99ddc29b9494f7ea33864d52a3ae14e2ec1852cd8f07f401186f92bb6">Ax_lBx</a>)</div>
<div class="line"><a name="l00183"></a><span class="lineno">  183</span>&#160;  {</div>
<div class="line"><a name="l00184"></a><span class="lineno">  184</span>&#160;    <span class="comment">// compute C = inv(L) A inv(L&#39;)</span></div>
<div class="line"><a name="l00185"></a><span class="lineno">  185</span>&#160;    MatrixType matC = matA.template selfadjointView&lt;Lower&gt;();</div>
<div class="line"><a name="l00186"></a><span class="lineno">  186</span>&#160;    cholB.<a class="code" href="classEigen_1_1LLT.html#a625f69b684b4434db1cf3cc434e86fe6">matrixL</a>().template solveInPlace&lt;OnTheLeft&gt;(matC);</div>
<div class="line"><a name="l00187"></a><span class="lineno">  187</span>&#160;    cholB.<a class="code" href="classEigen_1_1LLT.html#adc32fdba9f5b478afb2a96d53c6eacbb">matrixU</a>().template solveInPlace&lt;OnTheRight&gt;(matC);</div>
<div class="line"><a name="l00188"></a><span class="lineno">  188</span>&#160;</div>
<div class="line"><a name="l00189"></a><span class="lineno">  189</span>&#160;    Base::compute(matC, computeEigVecs ? <a class="code" href="group__enums.html#gga2d78499b99ddc29b9494f7ea33864d52a92a556ff1203acee3bacb02b0d157870">ComputeEigenvectors</a> : <a class="code" href="group__enums.html#gga2d78499b99ddc29b9494f7ea33864d52adaf09d7c7a09d6c882b1a871268e87dd">EigenvaluesOnly</a> );</div>
<div class="line"><a name="l00190"></a><span class="lineno">  190</span>&#160;</div>
<div class="line"><a name="l00191"></a><span class="lineno">  191</span>&#160;    <span class="comment">// transform back the eigen vectors: evecs = inv(U) * evecs</span></div>
<div class="line"><a name="l00192"></a><span class="lineno">  192</span>&#160;    <span class="keywordflow">if</span>(computeEigVecs)</div>
<div class="line"><a name="l00193"></a><span class="lineno">  193</span>&#160;      cholB.<a class="code" href="classEigen_1_1LLT.html#adc32fdba9f5b478afb2a96d53c6eacbb">matrixU</a>().solveInPlace(Base::m_eivec);</div>
<div class="line"><a name="l00194"></a><span class="lineno">  194</span>&#160;  }</div>
<div class="line"><a name="l00195"></a><span class="lineno">  195</span>&#160;  <span class="keywordflow">else</span> <span class="keywordflow">if</span>(type==<a class="code" href="group__enums.html#gga2d78499b99ddc29b9494f7ea33864d52aef728f6a0183a2218d9c9ff8387a2550">ABx_lx</a>)</div>
<div class="line"><a name="l00196"></a><span class="lineno">  196</span>&#160;  {</div>
<div class="line"><a name="l00197"></a><span class="lineno">  197</span>&#160;    <span class="comment">// compute C = L&#39; A L</span></div>
<div class="line"><a name="l00198"></a><span class="lineno">  198</span>&#160;    MatrixType matC = matA.template selfadjointView&lt;Lower&gt;();</div>
<div class="line"><a name="l00199"></a><span class="lineno">  199</span>&#160;    matC = matC * cholB.<a class="code" href="classEigen_1_1LLT.html#a625f69b684b4434db1cf3cc434e86fe6">matrixL</a>();</div>
<div class="line"><a name="l00200"></a><span class="lineno">  200</span>&#160;    matC = cholB.<a class="code" href="classEigen_1_1LLT.html#adc32fdba9f5b478afb2a96d53c6eacbb">matrixU</a>() * matC;</div>
<div class="line"><a name="l00201"></a><span class="lineno">  201</span>&#160;</div>
<div class="line"><a name="l00202"></a><span class="lineno">  202</span>&#160;    Base::compute(matC, computeEigVecs ? <a class="code" href="group__enums.html#gga2d78499b99ddc29b9494f7ea33864d52a92a556ff1203acee3bacb02b0d157870">ComputeEigenvectors</a> : <a class="code" href="group__enums.html#gga2d78499b99ddc29b9494f7ea33864d52adaf09d7c7a09d6c882b1a871268e87dd">EigenvaluesOnly</a>);</div>
<div class="line"><a name="l00203"></a><span class="lineno">  203</span>&#160;</div>
<div class="line"><a name="l00204"></a><span class="lineno">  204</span>&#160;    <span class="comment">// transform back the eigen vectors: evecs = inv(U) * evecs</span></div>
<div class="line"><a name="l00205"></a><span class="lineno">  205</span>&#160;    <span class="keywordflow">if</span>(computeEigVecs)</div>
<div class="line"><a name="l00206"></a><span class="lineno">  206</span>&#160;      cholB.<a class="code" href="classEigen_1_1LLT.html#adc32fdba9f5b478afb2a96d53c6eacbb">matrixU</a>().solveInPlace(Base::m_eivec);</div>
<div class="line"><a name="l00207"></a><span class="lineno">  207</span>&#160;  }</div>
<div class="line"><a name="l00208"></a><span class="lineno">  208</span>&#160;  <span class="keywordflow">else</span> <span class="keywordflow">if</span>(type==<a class="code" href="group__enums.html#gga2d78499b99ddc29b9494f7ea33864d52a4313e64c939f7bc1df2a67958ebdbae8">BAx_lx</a>)</div>
<div class="line"><a name="l00209"></a><span class="lineno">  209</span>&#160;  {</div>
<div class="line"><a name="l00210"></a><span class="lineno">  210</span>&#160;    <span class="comment">// compute C = L&#39; A L</span></div>
<div class="line"><a name="l00211"></a><span class="lineno">  211</span>&#160;    MatrixType matC = matA.template selfadjointView&lt;Lower&gt;();</div>
<div class="line"><a name="l00212"></a><span class="lineno">  212</span>&#160;    matC = matC * cholB.<a class="code" href="classEigen_1_1LLT.html#a625f69b684b4434db1cf3cc434e86fe6">matrixL</a>();</div>
<div class="line"><a name="l00213"></a><span class="lineno">  213</span>&#160;    matC = cholB.<a class="code" href="classEigen_1_1LLT.html#adc32fdba9f5b478afb2a96d53c6eacbb">matrixU</a>() * matC;</div>
<div class="line"><a name="l00214"></a><span class="lineno">  214</span>&#160;</div>
<div class="line"><a name="l00215"></a><span class="lineno">  215</span>&#160;    Base::compute(matC, computeEigVecs ? <a class="code" href="group__enums.html#gga2d78499b99ddc29b9494f7ea33864d52a92a556ff1203acee3bacb02b0d157870">ComputeEigenvectors</a> : <a class="code" href="group__enums.html#gga2d78499b99ddc29b9494f7ea33864d52adaf09d7c7a09d6c882b1a871268e87dd">EigenvaluesOnly</a>);</div>
<div class="line"><a name="l00216"></a><span class="lineno">  216</span>&#160;</div>
<div class="line"><a name="l00217"></a><span class="lineno">  217</span>&#160;    <span class="comment">// transform back the eigen vectors: evecs = L * evecs</span></div>
<div class="line"><a name="l00218"></a><span class="lineno">  218</span>&#160;    <span class="keywordflow">if</span>(computeEigVecs)</div>
<div class="line"><a name="l00219"></a><span class="lineno">  219</span>&#160;      Base::m_eivec = cholB.<a class="code" href="classEigen_1_1LLT.html#a625f69b684b4434db1cf3cc434e86fe6">matrixL</a>() * Base::m_eivec;</div>
<div class="line"><a name="l00220"></a><span class="lineno">  220</span>&#160;  }</div>
<div class="line"><a name="l00221"></a><span class="lineno">  221</span>&#160;</div>
<div class="line"><a name="l00222"></a><span class="lineno">  222</span>&#160;  <span class="keywordflow">return</span> *<span class="keyword">this</span>;</div>
<div class="line"><a name="l00223"></a><span class="lineno">  223</span>&#160;}</div>
<div class="line"><a name="l00224"></a><span class="lineno">  224</span>&#160;</div>
<div class="line"><a name="l00225"></a><span class="lineno">  225</span>&#160;} <span class="comment">// end namespace Eigen</span></div>
<div class="line"><a name="l00226"></a><span class="lineno">  226</span>&#160;</div>
<div class="line"><a name="l00227"></a><span class="lineno">  227</span>&#160;<span class="preprocessor">#endif // EIGEN_GENERALIZEDSELFADJOINTEIGENSOLVER_H</span></div>
<div class="ttc" id="group__enums_html_gga2d78499b99ddc29b9494f7ea33864d52a92a556ff1203acee3bacb02b0d157870"><div class="ttname"><a href="group__enums.html#gga2d78499b99ddc29b9494f7ea33864d52a92a556ff1203acee3bacb02b0d157870">Eigen::ComputeEigenvectors</a></div><div class="ttdef"><b>Definition:</b> Constants.h:339</div></div>
<div class="ttc" id="classEigen_1_1GeneralizedSelfAdjointEigenSolver_html_ab31ca021816541f77cb5f067a93b604a"><div class="ttname"><a href="classEigen_1_1GeneralizedSelfAdjointEigenSolver.html#ab31ca021816541f77cb5f067a93b604a">Eigen::GeneralizedSelfAdjointEigenSolver::GeneralizedSelfAdjointEigenSolver</a></div><div class="ttdeci">GeneralizedSelfAdjointEigenSolver(Index size)</div><div class="ttdoc">Constructor, pre-allocates memory for dynamic-size matrices. </div><div class="ttdef"><b>Definition:</b> GeneralizedSelfAdjointEigenSolver.h:77</div></div>
<div class="ttc" id="classEigen_1_1LLT_html_a625f69b684b4434db1cf3cc434e86fe6"><div class="ttname"><a href="classEigen_1_1LLT.html#a625f69b684b4434db1cf3cc434e86fe6">Eigen::LLT::matrixL</a></div><div class="ttdeci">Traits::MatrixL matrixL() const </div><div class="ttdef"><b>Definition:</b> LLT.h:104</div></div>
<div class="ttc" id="classEigen_1_1SelfAdjointEigenSolver_html"><div class="ttname"><a href="classEigen_1_1SelfAdjointEigenSolver.html">Eigen::SelfAdjointEigenSolver</a></div><div class="ttdoc">Computes eigenvalues and eigenvectors of selfadjoint matrices. </div><div class="ttdef"><b>Definition:</b> SelfAdjointEigenSolver.h:68</div></div>
<div class="ttc" id="group__enums_html_gga2d78499b99ddc29b9494f7ea33864d52a4313e64c939f7bc1df2a67958ebdbae8"><div class="ttname"><a href="group__enums.html#gga2d78499b99ddc29b9494f7ea33864d52a4313e64c939f7bc1df2a67958ebdbae8">Eigen::BAx_lx</a></div><div class="ttdef"><b>Definition:</b> Constants.h:350</div></div>
<div class="ttc" id="classEigen_1_1LLT_html_adc32fdba9f5b478afb2a96d53c6eacbb"><div class="ttname"><a href="classEigen_1_1LLT.html#adc32fdba9f5b478afb2a96d53c6eacbb">Eigen::LLT::matrixU</a></div><div class="ttdeci">Traits::MatrixU matrixU() const </div><div class="ttdef"><b>Definition:</b> LLT.h:97</div></div>
<div class="ttc" id="classEigen_1_1GeneralizedSelfAdjointEigenSolver_html_aaa204ef15aaefac270c0376269083ed6"><div class="ttname"><a href="classEigen_1_1GeneralizedSelfAdjointEigenSolver.html#aaa204ef15aaefac270c0376269083ed6">Eigen::GeneralizedSelfAdjointEigenSolver::compute</a></div><div class="ttdeci">GeneralizedSelfAdjointEigenSolver &amp; compute(const MatrixType &amp;matA, const MatrixType &amp;matB, int options=ComputeEigenvectors|Ax_lBx)</div><div class="ttdoc">Computes generalized eigendecomposition of given matrix pencil. </div><div class="ttdef"><b>Definition:</b> GeneralizedSelfAdjointEigenSolver.h:164</div></div>
<div class="ttc" id="group__enums_html_gga2d78499b99ddc29b9494f7ea33864d52a3ae14e2ec1852cd8f07f401186f92bb6"><div class="ttname"><a href="group__enums.html#gga2d78499b99ddc29b9494f7ea33864d52a3ae14e2ec1852cd8f07f401186f92bb6">Eigen::Ax_lBx</a></div><div class="ttdef"><b>Definition:</b> Constants.h:344</div></div>
<div class="ttc" id="classEigen_1_1GeneralizedSelfAdjointEigenSolver_html_a187d246e7119473853734270c6bf6e5d"><div class="ttname"><a href="classEigen_1_1GeneralizedSelfAdjointEigenSolver.html#a187d246e7119473853734270c6bf6e5d">Eigen::GeneralizedSelfAdjointEigenSolver::GeneralizedSelfAdjointEigenSolver</a></div><div class="ttdeci">GeneralizedSelfAdjointEigenSolver(const MatrixType &amp;matA, const MatrixType &amp;matB, int options=ComputeEigenvectors|Ax_lBx)</div><div class="ttdoc">Constructor; computes generalized eigendecomposition of given matrix pencil. </div><div class="ttdef"><b>Definition:</b> GeneralizedSelfAdjointEigenSolver.h:107</div></div>
<div class="ttc" id="classEigen_1_1LLT_html"><div class="ttname"><a href="classEigen_1_1LLT.html">Eigen::LLT</a></div><div class="ttdoc">Standard Cholesky decomposition (LL^T) of a matrix and associated features. </div><div class="ttdef"><b>Definition:</b> LLT.h:50</div></div>
<div class="ttc" id="classEigen_1_1GeneralizedSelfAdjointEigenSolver_html"><div class="ttname"><a href="classEigen_1_1GeneralizedSelfAdjointEigenSolver.html">Eigen::GeneralizedSelfAdjointEigenSolver</a></div><div class="ttdoc">Computes eigenvalues and eigenvectors of the generalized selfadjoint eigen problem. </div><div class="ttdef"><b>Definition:</b> GeneralizedSelfAdjointEigenSolver.h:48</div></div>
<div class="ttc" id="classEigen_1_1GeneralizedSelfAdjointEigenSolver_html_a47cdb96ef5b357fb03a3941431027701"><div class="ttname"><a href="classEigen_1_1GeneralizedSelfAdjointEigenSolver.html#a47cdb96ef5b357fb03a3941431027701">Eigen::GeneralizedSelfAdjointEigenSolver::GeneralizedSelfAdjointEigenSolver</a></div><div class="ttdeci">GeneralizedSelfAdjointEigenSolver()</div><div class="ttdoc">Default constructor for fixed-size matrices. </div><div class="ttdef"><b>Definition:</b> GeneralizedSelfAdjointEigenSolver.h:63</div></div>
<div class="ttc" id="group__enums_html_gga2d78499b99ddc29b9494f7ea33864d52aef728f6a0183a2218d9c9ff8387a2550"><div class="ttname"><a href="group__enums.html#gga2d78499b99ddc29b9494f7ea33864d52aef728f6a0183a2218d9c9ff8387a2550">Eigen::ABx_lx</a></div><div class="ttdef"><b>Definition:</b> Constants.h:347</div></div>
<div class="ttc" id="group__enums_html_gga2d78499b99ddc29b9494f7ea33864d52adaf09d7c7a09d6c882b1a871268e87dd"><div class="ttname"><a href="group__enums.html#gga2d78499b99ddc29b9494f7ea33864d52adaf09d7c7a09d6c882b1a871268e87dd">Eigen::EigenvaluesOnly</a></div><div class="ttdef"><b>Definition:</b> Constants.h:336</div></div>
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