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<div class="title">SimplicialCholesky.h</div> </div>
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<div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno"> 1</span> <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> <span class="comment">// for linear algebra.</span></div>
<div class="line"><a name="l00003"></a><span class="lineno"> 3</span> <span class="comment">//</span></div>
<div class="line"><a name="l00004"></a><span class="lineno"> 4</span> <span class="comment">// Copyright (C) 2008-2012 Gael Guennebaud <gael.guennebaud@inria.fr></span></div>
<div class="line"><a name="l00005"></a><span class="lineno"> 5</span> <span class="comment">//</span></div>
<div class="line"><a name="l00006"></a><span class="lineno"> 6</span> <span class="comment">// This Source Code Form is subject to the terms of the Mozilla</span></div>
<div class="line"><a name="l00007"></a><span class="lineno"> 7</span> <span class="comment">// Public License v. 2.0. If a copy of the MPL was not distributed</span></div>
<div class="line"><a name="l00008"></a><span class="lineno"> 8</span> <span class="comment">// with this file, You can obtain one at http://mozilla.org/MPL/2.0/.</span></div>
<div class="line"><a name="l00009"></a><span class="lineno"> 9</span> </div>
<div class="line"><a name="l00010"></a><span class="lineno"> 10</span> <span class="preprocessor">#ifndef EIGEN_SIMPLICIAL_CHOLESKY_H</span></div>
<div class="line"><a name="l00011"></a><span class="lineno"> 11</span> <span class="preprocessor"></span><span class="preprocessor">#define EIGEN_SIMPLICIAL_CHOLESKY_H</span></div>
<div class="line"><a name="l00012"></a><span class="lineno"> 12</span> <span class="preprocessor"></span></div>
<div class="line"><a name="l00013"></a><span class="lineno"> 13</span> <span class="keyword">namespace </span>Eigen { </div>
<div class="line"><a name="l00014"></a><span class="lineno"> 14</span> </div>
<div class="line"><a name="l00015"></a><span class="lineno"> 15</span> <span class="keyword">enum</span> SimplicialCholeskyMode {</div>
<div class="line"><a name="l00016"></a><span class="lineno"> 16</span>  SimplicialCholeskyLLT,</div>
<div class="line"><a name="l00017"></a><span class="lineno"> 17</span>  SimplicialCholeskyLDLT</div>
<div class="line"><a name="l00018"></a><span class="lineno"> 18</span> };</div>
<div class="line"><a name="l00019"></a><span class="lineno"> 19</span> </div>
<div class="line"><a name="l00035"></a><span class="lineno"> 35</span> <span class="keyword">template</span><<span class="keyword">typename</span> Derived></div>
<div class="line"><a name="l00036"></a><span class="lineno"><a class="line" href="classEigen_1_1SimplicialCholeskyBase.html"> 36</a></span> <span class="keyword">class </span><a class="code" href="classEigen_1_1SimplicialCholeskyBase.html">SimplicialCholeskyBase</a> : internal::noncopyable</div>
<div class="line"><a name="l00037"></a><span class="lineno"> 37</span> {</div>
<div class="line"><a name="l00038"></a><span class="lineno"> 38</span>  <span class="keyword">public</span>:</div>
<div class="line"><a name="l00039"></a><span class="lineno"> 39</span>  <span class="keyword">typedef</span> <span class="keyword">typename</span> internal::traits<Derived>::MatrixType MatrixType;</div>
<div class="line"><a name="l00040"></a><span class="lineno"> 40</span>  <span class="keyword">enum</span> { UpLo = internal::traits<Derived>::UpLo };</div>
<div class="line"><a name="l00041"></a><span class="lineno"> 41</span>  <span class="keyword">typedef</span> <span class="keyword">typename</span> MatrixType::Scalar Scalar;</div>
<div class="line"><a name="l00042"></a><span class="lineno"> 42</span>  <span class="keyword">typedef</span> <span class="keyword">typename</span> MatrixType::RealScalar RealScalar;</div>
<div class="line"><a name="l00043"></a><span class="lineno"> 43</span>  <span class="keyword">typedef</span> <span class="keyword">typename</span> MatrixType::Index Index;</div>
<div class="line"><a name="l00044"></a><span class="lineno"> 44</span>  <span class="keyword">typedef</span> <a class="code" href="classEigen_1_1SparseMatrix.html">SparseMatrix<Scalar,ColMajor,Index></a> <a class="code" href="classEigen_1_1SparseMatrix.html">CholMatrixType</a>;</div>
<div class="line"><a name="l00045"></a><span class="lineno"> 45</span>  <span class="keyword">typedef</span> <a class="code" href="classEigen_1_1Matrix.html">Matrix<Scalar,Dynamic,1></a> <a class="code" href="classEigen_1_1Matrix.html">VectorType</a>;</div>
<div class="line"><a name="l00046"></a><span class="lineno"> 46</span> </div>
<div class="line"><a name="l00047"></a><span class="lineno"> 47</span>  <span class="keyword">public</span>:</div>
<div class="line"><a name="l00048"></a><span class="lineno"> 48</span> </div>
<div class="line"><a name="l00050"></a><span class="lineno"><a class="line" href="classEigen_1_1SimplicialCholeskyBase.html#a8d3b7001a709a7349c45281e078747c7"> 50</a></span>  <a class="code" href="classEigen_1_1SimplicialCholeskyBase.html#a8d3b7001a709a7349c45281e078747c7">SimplicialCholeskyBase</a>()</div>
<div class="line"><a name="l00051"></a><span class="lineno"> 51</span>  : m_info(<a class="code" href="group__enums.html#gga51bc1ac16f26ebe51eae1abb77bd037bafdfbdf3247bd36a1f17270d5cec74c9c">Success</a>), m_isInitialized(false), m_shiftOffset(0), m_shiftScale(1)</div>
<div class="line"><a name="l00052"></a><span class="lineno"> 52</span>  {}</div>
<div class="line"><a name="l00053"></a><span class="lineno"> 53</span> </div>
<div class="line"><a name="l00054"></a><span class="lineno"> 54</span>  <a class="code" href="classEigen_1_1SimplicialCholeskyBase.html#a8d3b7001a709a7349c45281e078747c7">SimplicialCholeskyBase</a>(<span class="keyword">const</span> MatrixType& matrix)</div>
<div class="line"><a name="l00055"></a><span class="lineno"> 55</span>  : m_info(<a class="code" href="group__enums.html#gga51bc1ac16f26ebe51eae1abb77bd037bafdfbdf3247bd36a1f17270d5cec74c9c">Success</a>), m_isInitialized(false), m_shiftOffset(0), m_shiftScale(1)</div>
<div class="line"><a name="l00056"></a><span class="lineno"> 56</span>  {</div>
<div class="line"><a name="l00057"></a><span class="lineno"> 57</span>  derived().compute(matrix);</div>
<div class="line"><a name="l00058"></a><span class="lineno"> 58</span>  }</div>
<div class="line"><a name="l00059"></a><span class="lineno"> 59</span> </div>
<div class="line"><a name="l00060"></a><span class="lineno"> 60</span>  ~<a class="code" href="classEigen_1_1SimplicialCholeskyBase.html#a8d3b7001a709a7349c45281e078747c7">SimplicialCholeskyBase</a>()</div>
<div class="line"><a name="l00061"></a><span class="lineno"> 61</span>  {</div>
<div class="line"><a name="l00062"></a><span class="lineno"> 62</span>  }</div>
<div class="line"><a name="l00063"></a><span class="lineno"> 63</span> </div>
<div class="line"><a name="l00064"></a><span class="lineno"> 64</span>  Derived& derived() { <span class="keywordflow">return</span> *<span class="keyword">static_cast<</span>Derived*<span class="keyword">></span>(<span class="keyword">this</span>); }</div>
<div class="line"><a name="l00065"></a><span class="lineno"> 65</span>  <span class="keyword">const</span> Derived& derived()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> *<span class="keyword">static_cast<</span><span class="keyword">const </span>Derived*<span class="keyword">></span>(<span class="keyword">this</span>); }</div>
<div class="line"><a name="l00066"></a><span class="lineno"> 66</span>  </div>
<div class="line"><a name="l00067"></a><span class="lineno"> 67</span>  <span class="keyword">inline</span> Index cols()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> m_matrix.<a class="code" href="classEigen_1_1SparseMatrix.html#aaca1908a5ec508a25ff0a8bca803e5f3">cols</a>(); }</div>
<div class="line"><a name="l00068"></a><span class="lineno"> 68</span>  <span class="keyword">inline</span> Index rows()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> m_matrix.<a class="code" href="classEigen_1_1SparseMatrix.html#a5552abd83dbd03c85cea6d61fd8875a5">rows</a>(); }</div>
<div class="line"><a name="l00069"></a><span class="lineno"> 69</span>  </div>
<div class="line"><a name="l00075"></a><span class="lineno"><a class="line" href="classEigen_1_1SimplicialCholeskyBase.html#a0c06d5c2034ebb329c54235369643ad2"> 75</a></span>  <a class="code" href="group__enums.html#ga51bc1ac16f26ebe51eae1abb77bd037b">ComputationInfo</a> <a class="code" href="classEigen_1_1SimplicialCholeskyBase.html#a0c06d5c2034ebb329c54235369643ad2">info</a>()<span class="keyword"> const</span></div>
<div class="line"><a name="l00076"></a><span class="lineno"> 76</span> <span class="keyword"> </span>{</div>
<div class="line"><a name="l00077"></a><span class="lineno"> 77</span>  eigen_assert(m_isInitialized && <span class="stringliteral">"Decomposition is not initialized."</span>);</div>
<div class="line"><a name="l00078"></a><span class="lineno"> 78</span>  <span class="keywordflow">return</span> m_info;</div>
<div class="line"><a name="l00079"></a><span class="lineno"> 79</span>  }</div>
<div class="line"><a name="l00080"></a><span class="lineno"> 80</span>  </div>
<div class="line"><a name="l00085"></a><span class="lineno"> 85</span>  <span class="keyword">template</span><<span class="keyword">typename</span> Rhs></div>
<div class="line"><a name="l00086"></a><span class="lineno"> 86</span>  <span class="keyword">inline</span> <span class="keyword">const</span> internal::solve_retval<SimplicialCholeskyBase, Rhs></div>
<div class="line"><a name="l00087"></a><span class="lineno"><a class="line" href="classEigen_1_1SimplicialCholeskyBase.html#a2eb06df831ecd66f56995e4bdee0308f"> 87</a></span>  <a class="code" href="classEigen_1_1SimplicialCholeskyBase.html#a2eb06df831ecd66f56995e4bdee0308f">solve</a>(<span class="keyword">const</span> <a class="code" href="classEigen_1_1MatrixBase.html">MatrixBase<Rhs></a>& b)<span class="keyword"> const</span></div>
<div class="line"><a name="l00088"></a><span class="lineno"> 88</span> <span class="keyword"> </span>{</div>
<div class="line"><a name="l00089"></a><span class="lineno"> 89</span>  eigen_assert(m_isInitialized && <span class="stringliteral">"Simplicial LLT or LDLT is not initialized."</span>);</div>
<div class="line"><a name="l00090"></a><span class="lineno"> 90</span>  eigen_assert(rows()==b.rows()</div>
<div class="line"><a name="l00091"></a><span class="lineno"> 91</span>  && <span class="stringliteral">"SimplicialCholeskyBase::solve(): invalid number of rows of the right hand side matrix b"</span>);</div>
<div class="line"><a name="l00092"></a><span class="lineno"> 92</span>  <span class="keywordflow">return</span> internal::solve_retval<SimplicialCholeskyBase, Rhs>(*<span class="keyword">this</span>, b.derived());</div>
<div class="line"><a name="l00093"></a><span class="lineno"> 93</span>  }</div>
<div class="line"><a name="l00094"></a><span class="lineno"> 94</span>  </div>
<div class="line"><a name="l00099"></a><span class="lineno"> 99</span>  <span class="keyword">template</span><<span class="keyword">typename</span> Rhs></div>
<div class="line"><a name="l00100"></a><span class="lineno"> 100</span>  <span class="keyword">inline</span> <span class="keyword">const</span> internal::sparse_solve_retval<SimplicialCholeskyBase, Rhs></div>
<div class="line"><a name="l00101"></a><span class="lineno"><a class="line" href="classEigen_1_1SimplicialCholeskyBase.html#abe2318376d9cb41fa612b793035da397"> 101</a></span>  <a class="code" href="classEigen_1_1SimplicialCholeskyBase.html#abe2318376d9cb41fa612b793035da397">solve</a>(<span class="keyword">const</span> <a class="code" href="classEigen_1_1SparseMatrixBase.html">SparseMatrixBase<Rhs></a>& b)<span class="keyword"> const</span></div>
<div class="line"><a name="l00102"></a><span class="lineno"> 102</span> <span class="keyword"> </span>{</div>
<div class="line"><a name="l00103"></a><span class="lineno"> 103</span>  eigen_assert(m_isInitialized && <span class="stringliteral">"Simplicial LLT or LDLT is not initialized."</span>);</div>
<div class="line"><a name="l00104"></a><span class="lineno"> 104</span>  eigen_assert(rows()==b.<a class="code" href="classEigen_1_1SparseMatrixBase.html#a5552abd83dbd03c85cea6d61fd8875a5">rows</a>()</div>
<div class="line"><a name="l00105"></a><span class="lineno"> 105</span>  && <span class="stringliteral">"SimplicialCholesky::solve(): invalid number of rows of the right hand side matrix b"</span>);</div>
<div class="line"><a name="l00106"></a><span class="lineno"> 106</span>  <span class="keywordflow">return</span> internal::sparse_solve_retval<SimplicialCholeskyBase, Rhs>(*<span class="keyword">this</span>, b.<a class="code" href="structEigen_1_1EigenBase.html#aa84222add803ad7c9db07dd4dd91d5d9">derived</a>());</div>
<div class="line"><a name="l00107"></a><span class="lineno"> 107</span>  }</div>
<div class="line"><a name="l00108"></a><span class="lineno"> 108</span>  </div>
<div class="line"><a name="l00111"></a><span class="lineno"><a class="line" href="classEigen_1_1SimplicialCholeskyBase.html#a627368b476d29ff4dbb0813ac79ba342"> 111</a></span>  <span class="keyword">const</span> <a class="code" href="classEigen_1_1PermutationMatrix.html">PermutationMatrix<Dynamic,Dynamic,Index></a>& <a class="code" href="classEigen_1_1SimplicialCholeskyBase.html#a627368b476d29ff4dbb0813ac79ba342">permutationP</a>()<span class="keyword"> const</span></div>
<div class="line"><a name="l00112"></a><span class="lineno"> 112</span> <span class="keyword"> </span>{ <span class="keywordflow">return</span> m_P; }</div>
<div class="line"><a name="l00113"></a><span class="lineno"> 113</span>  </div>
<div class="line"><a name="l00116"></a><span class="lineno"><a class="line" href="classEigen_1_1SimplicialCholeskyBase.html#aceffb826f00a940b157dfea0dc6968a7"> 116</a></span>  <span class="keyword">const</span> <a class="code" href="classEigen_1_1PermutationMatrix.html">PermutationMatrix<Dynamic,Dynamic,Index></a>& <a class="code" href="classEigen_1_1SimplicialCholeskyBase.html#aceffb826f00a940b157dfea0dc6968a7">permutationPinv</a>()<span class="keyword"> const</span></div>
<div class="line"><a name="l00117"></a><span class="lineno"> 117</span> <span class="keyword"> </span>{ <span class="keywordflow">return</span> m_Pinv; }</div>
<div class="line"><a name="l00118"></a><span class="lineno"> 118</span> </div>
<div class="line"><a name="l00128"></a><span class="lineno"><a class="line" href="classEigen_1_1SimplicialCholeskyBase.html#a299d333dcd2cf63c4c2f6cfc0a95da7c"> 128</a></span>  Derived& <a class="code" href="classEigen_1_1SimplicialCholeskyBase.html#a299d333dcd2cf63c4c2f6cfc0a95da7c">setShift</a>(<span class="keyword">const</span> RealScalar& offset, <span class="keyword">const</span> RealScalar& scale = 1)</div>
<div class="line"><a name="l00129"></a><span class="lineno"> 129</span>  {</div>
<div class="line"><a name="l00130"></a><span class="lineno"> 130</span>  m_shiftOffset = offset;</div>
<div class="line"><a name="l00131"></a><span class="lineno"> 131</span>  m_shiftScale = scale;</div>
<div class="line"><a name="l00132"></a><span class="lineno"> 132</span>  <span class="keywordflow">return</span> derived();</div>
<div class="line"><a name="l00133"></a><span class="lineno"> 133</span>  }</div>
<div class="line"><a name="l00134"></a><span class="lineno"> 134</span> </div>
<div class="line"><a name="l00135"></a><span class="lineno"> 135</span> <span class="preprocessor">#ifndef EIGEN_PARSED_BY_DOXYGEN</span></div>
<div class="line"><a name="l00136"></a><span class="lineno"> 136</span> <span class="preprocessor"></span></div>
<div class="line"><a name="l00137"></a><span class="lineno"> 137</span>  <span class="keyword">template</span><<span class="keyword">typename</span> Stream></div>
<div class="line"><a name="l00138"></a><span class="lineno"> 138</span>  <span class="keywordtype">void</span> dumpMemory(Stream& s)</div>
<div class="line"><a name="l00139"></a><span class="lineno"> 139</span>  {</div>
<div class="line"><a name="l00140"></a><span class="lineno"> 140</span>  <span class="keywordtype">int</span> total = 0;</div>
<div class="line"><a name="l00141"></a><span class="lineno"> 141</span>  s << <span class="stringliteral">" L: "</span> << ((total+=(m_matrix.<a class="code" href="classEigen_1_1SparseMatrix.html#aaca1908a5ec508a25ff0a8bca803e5f3">cols</a>()+1) * <span class="keyword">sizeof</span>(<span class="keywordtype">int</span>) + m_matrix.<a class="code" href="classEigen_1_1SparseMatrix.html#abe29bfb5f2d88cf2a50ffb577ec6f0a4">nonZeros</a>()*(<span class="keyword">sizeof</span>(int)+<span class="keyword">sizeof</span>(Scalar))) >> 20) << <span class="stringliteral">"Mb"</span> << <span class="stringliteral">"\n"</span>;</div>
<div class="line"><a name="l00142"></a><span class="lineno"> 142</span>  s << <span class="stringliteral">" diag: "</span> << ((total+=m_diag.size() * <span class="keyword">sizeof</span>(Scalar)) >> 20) << <span class="stringliteral">"Mb"</span> << <span class="stringliteral">"\n"</span>;</div>
<div class="line"><a name="l00143"></a><span class="lineno"> 143</span>  s << <span class="stringliteral">" tree: "</span> << ((total+=m_parent.size() * <span class="keyword">sizeof</span>(int)) >> 20) << <span class="stringliteral">"Mb"</span> << <span class="stringliteral">"\n"</span>;</div>
<div class="line"><a name="l00144"></a><span class="lineno"> 144</span>  s << <span class="stringliteral">" nonzeros: "</span> << ((total+=m_nonZerosPerCol.size() * <span class="keyword">sizeof</span>(int)) >> 20) << <span class="stringliteral">"Mb"</span> << <span class="stringliteral">"\n"</span>;</div>
<div class="line"><a name="l00145"></a><span class="lineno"> 145</span>  s << <span class="stringliteral">" perm: "</span> << ((total+=m_P.<a class="code" href="classEigen_1_1PermutationBase.html#a76f5bc8a03ec105ab4be1f2b91b7b5d5">size</a>() * <span class="keyword">sizeof</span>(int)) >> 20) << <span class="stringliteral">"Mb"</span> << <span class="stringliteral">"\n"</span>;</div>
<div class="line"><a name="l00146"></a><span class="lineno"> 146</span>  s << <span class="stringliteral">" perm^-1: "</span> << ((total+=m_Pinv.<a class="code" href="classEigen_1_1PermutationBase.html#a76f5bc8a03ec105ab4be1f2b91b7b5d5">size</a>() * <span class="keyword">sizeof</span>(int)) >> 20) << <span class="stringliteral">"Mb"</span> << <span class="stringliteral">"\n"</span>;</div>
<div class="line"><a name="l00147"></a><span class="lineno"> 147</span>  s << <span class="stringliteral">" TOTAL: "</span> << (total>> 20) << <span class="stringliteral">"Mb"</span> << <span class="stringliteral">"\n"</span>;</div>
<div class="line"><a name="l00148"></a><span class="lineno"> 148</span>  }</div>
<div class="line"><a name="l00149"></a><span class="lineno"> 149</span> </div>
<div class="line"><a name="l00151"></a><span class="lineno"> 151</span>  <span class="keyword">template</span><<span class="keyword">typename</span> Rhs,<span class="keyword">typename</span> Dest></div>
<div class="line"><a name="l00152"></a><span class="lineno"> 152</span>  <span class="keywordtype">void</span> _solve(<span class="keyword">const</span> MatrixBase<Rhs> &b, MatrixBase<Dest> &dest)<span class="keyword"> const</span></div>
<div class="line"><a name="l00153"></a><span class="lineno"> 153</span> <span class="keyword"> </span>{</div>
<div class="line"><a name="l00154"></a><span class="lineno"> 154</span>  eigen_assert(m_factorizationIsOk && <span class="stringliteral">"The decomposition is not in a valid state for solving, you must first call either compute() or symbolic()/numeric()"</span>);</div>
<div class="line"><a name="l00155"></a><span class="lineno"> 155</span>  eigen_assert(m_matrix.<a class="code" href="classEigen_1_1SparseMatrix.html#a5552abd83dbd03c85cea6d61fd8875a5">rows</a>()==b.rows());</div>
<div class="line"><a name="l00156"></a><span class="lineno"> 156</span> </div>
<div class="line"><a name="l00157"></a><span class="lineno"> 157</span>  <span class="keywordflow">if</span>(m_info!=<a class="code" href="group__enums.html#gga51bc1ac16f26ebe51eae1abb77bd037bafdfbdf3247bd36a1f17270d5cec74c9c">Success</a>)</div>
<div class="line"><a name="l00158"></a><span class="lineno"> 158</span>  <span class="keywordflow">return</span>;</div>
<div class="line"><a name="l00159"></a><span class="lineno"> 159</span> </div>
<div class="line"><a name="l00160"></a><span class="lineno"> 160</span>  <span class="keywordflow">if</span>(m_P.<a class="code" href="classEigen_1_1PermutationBase.html#a76f5bc8a03ec105ab4be1f2b91b7b5d5">size</a>()>0)</div>
<div class="line"><a name="l00161"></a><span class="lineno"> 161</span>  dest = m_P * b;</div>
<div class="line"><a name="l00162"></a><span class="lineno"> 162</span>  <span class="keywordflow">else</span></div>
<div class="line"><a name="l00163"></a><span class="lineno"> 163</span>  dest = b;</div>
<div class="line"><a name="l00164"></a><span class="lineno"> 164</span> </div>
<div class="line"><a name="l00165"></a><span class="lineno"> 165</span>  <span class="keywordflow">if</span>(m_matrix.<a class="code" href="classEigen_1_1SparseMatrix.html#abe29bfb5f2d88cf2a50ffb577ec6f0a4">nonZeros</a>()>0) <span class="comment">// otherwise L==I</span></div>
<div class="line"><a name="l00166"></a><span class="lineno"> 166</span>  derived().matrixL().solveInPlace(dest);</div>
<div class="line"><a name="l00167"></a><span class="lineno"> 167</span> </div>
<div class="line"><a name="l00168"></a><span class="lineno"> 168</span>  <span class="keywordflow">if</span>(m_diag.size()>0)</div>
<div class="line"><a name="l00169"></a><span class="lineno"> 169</span>  dest = m_diag.asDiagonal().inverse() * dest;</div>
<div class="line"><a name="l00170"></a><span class="lineno"> 170</span> </div>
<div class="line"><a name="l00171"></a><span class="lineno"> 171</span>  <span class="keywordflow">if</span> (m_matrix.<a class="code" href="classEigen_1_1SparseMatrix.html#abe29bfb5f2d88cf2a50ffb577ec6f0a4">nonZeros</a>()>0) <span class="comment">// otherwise U==I</span></div>
<div class="line"><a name="l00172"></a><span class="lineno"> 172</span>  derived().matrixU().solveInPlace(dest);</div>
<div class="line"><a name="l00173"></a><span class="lineno"> 173</span> </div>
<div class="line"><a name="l00174"></a><span class="lineno"> 174</span>  <span class="keywordflow">if</span>(m_P.<a class="code" href="classEigen_1_1PermutationBase.html#a76f5bc8a03ec105ab4be1f2b91b7b5d5">size</a>()>0)</div>
<div class="line"><a name="l00175"></a><span class="lineno"> 175</span>  dest = m_Pinv * dest;</div>
<div class="line"><a name="l00176"></a><span class="lineno"> 176</span>  }</div>
<div class="line"><a name="l00177"></a><span class="lineno"> 177</span> </div>
<div class="line"><a name="l00178"></a><span class="lineno"> 178</span> <span class="preprocessor">#endif // EIGEN_PARSED_BY_DOXYGEN</span></div>
<div class="line"><a name="l00179"></a><span class="lineno"> 179</span> <span class="preprocessor"></span></div>
<div class="line"><a name="l00180"></a><span class="lineno"> 180</span>  <span class="keyword">protected</span>:</div>
<div class="line"><a name="l00181"></a><span class="lineno"> 181</span>  </div>
<div class="line"><a name="l00183"></a><span class="lineno"> 183</span>  <span class="keyword">template</span><<span class="keywordtype">bool</span> DoLDLT></div>
<div class="line"><a name="l00184"></a><span class="lineno"><a class="line" href="classEigen_1_1SimplicialCholeskyBase.html#acc1ae1a60943b6cad18724f348f75a70"> 184</a></span>  <span class="keywordtype">void</span> <a class="code" href="classEigen_1_1SimplicialCholeskyBase.html#acc1ae1a60943b6cad18724f348f75a70">compute</a>(<span class="keyword">const</span> MatrixType& matrix)</div>
<div class="line"><a name="l00185"></a><span class="lineno"> 185</span>  {</div>
<div class="line"><a name="l00186"></a><span class="lineno"> 186</span>  eigen_assert(matrix.rows()==matrix.cols());</div>
<div class="line"><a name="l00187"></a><span class="lineno"> 187</span>  Index size = matrix.cols();</div>
<div class="line"><a name="l00188"></a><span class="lineno"> 188</span>  <a class="code" href="classEigen_1_1SparseMatrix.html">CholMatrixType</a> ap(size,size);</div>
<div class="line"><a name="l00189"></a><span class="lineno"> 189</span>  ordering(matrix, ap);</div>
<div class="line"><a name="l00190"></a><span class="lineno"> 190</span>  analyzePattern_preordered(ap, DoLDLT);</div>
<div class="line"><a name="l00191"></a><span class="lineno"> 191</span>  factorize_preordered<DoLDLT>(ap);</div>
<div class="line"><a name="l00192"></a><span class="lineno"> 192</span>  }</div>
<div class="line"><a name="l00193"></a><span class="lineno"> 193</span>  </div>
<div class="line"><a name="l00194"></a><span class="lineno"> 194</span>  <span class="keyword">template</span><<span class="keywordtype">bool</span> DoLDLT></div>
<div class="line"><a name="l00195"></a><span class="lineno"> 195</span>  <span class="keywordtype">void</span> factorize(<span class="keyword">const</span> MatrixType& a)</div>
<div class="line"><a name="l00196"></a><span class="lineno"> 196</span>  {</div>
<div class="line"><a name="l00197"></a><span class="lineno"> 197</span>  eigen_assert(a.rows()==a.cols());</div>
<div class="line"><a name="l00198"></a><span class="lineno"> 198</span>  <span class="keywordtype">int</span> size = a.cols();</div>
<div class="line"><a name="l00199"></a><span class="lineno"> 199</span>  CholMatrixType ap(size,size);</div>
<div class="line"><a name="l00200"></a><span class="lineno"> 200</span>  ap.template selfadjointView<Upper>() = a.template selfadjointView<UpLo>().twistedBy(m_P);</div>
<div class="line"><a name="l00201"></a><span class="lineno"> 201</span>  factorize_preordered<DoLDLT>(ap);</div>
<div class="line"><a name="l00202"></a><span class="lineno"> 202</span>  }</div>
<div class="line"><a name="l00203"></a><span class="lineno"> 203</span> </div>
<div class="line"><a name="l00204"></a><span class="lineno"> 204</span>  <span class="keyword">template</span><<span class="keywordtype">bool</span> DoLDLT></div>
<div class="line"><a name="l00205"></a><span class="lineno"> 205</span>  <span class="keywordtype">void</span> factorize_preordered(<span class="keyword">const</span> CholMatrixType& a);</div>
<div class="line"><a name="l00206"></a><span class="lineno"> 206</span> </div>
<div class="line"><a name="l00207"></a><span class="lineno"> 207</span>  <span class="keywordtype">void</span> analyzePattern(<span class="keyword">const</span> MatrixType& a, <span class="keywordtype">bool</span> doLDLT)</div>
<div class="line"><a name="l00208"></a><span class="lineno"> 208</span>  {</div>
<div class="line"><a name="l00209"></a><span class="lineno"> 209</span>  eigen_assert(a.rows()==a.cols());</div>
<div class="line"><a name="l00210"></a><span class="lineno"> 210</span>  <span class="keywordtype">int</span> size = a.cols();</div>
<div class="line"><a name="l00211"></a><span class="lineno"> 211</span>  CholMatrixType ap(size,size);</div>
<div class="line"><a name="l00212"></a><span class="lineno"> 212</span>  ordering(a, ap);</div>
<div class="line"><a name="l00213"></a><span class="lineno"> 213</span>  analyzePattern_preordered(ap,doLDLT);</div>
<div class="line"><a name="l00214"></a><span class="lineno"> 214</span>  }</div>
<div class="line"><a name="l00215"></a><span class="lineno"> 215</span>  <span class="keywordtype">void</span> analyzePattern_preordered(<span class="keyword">const</span> CholMatrixType& a, <span class="keywordtype">bool</span> doLDLT);</div>
<div class="line"><a name="l00216"></a><span class="lineno"> 216</span>  </div>
<div class="line"><a name="l00217"></a><span class="lineno"> 217</span>  <span class="keywordtype">void</span> ordering(<span class="keyword">const</span> MatrixType& a, CholMatrixType& ap);</div>
<div class="line"><a name="l00218"></a><span class="lineno"> 218</span> </div>
<div class="line"><a name="l00220"></a><span class="lineno"><a class="line" href="structEigen_1_1SimplicialCholeskyBase_1_1keep__diag.html"> 220</a></span>  <span class="keyword">struct </span><a class="code" href="structEigen_1_1SimplicialCholeskyBase_1_1keep__diag.html">keep_diag</a> {</div>
<div class="line"><a name="l00221"></a><span class="lineno"> 221</span>  <span class="keyword">inline</span> <span class="keywordtype">bool</span> operator() (<span class="keyword">const</span> Index& row, <span class="keyword">const</span> Index& col, <span class="keyword">const</span> Scalar&)<span class="keyword"> const</span></div>
<div class="line"><a name="l00222"></a><span class="lineno"> 222</span> <span class="keyword"> </span>{</div>
<div class="line"><a name="l00223"></a><span class="lineno"> 223</span>  <span class="keywordflow">return</span> row!=col;</div>
<div class="line"><a name="l00224"></a><span class="lineno"> 224</span>  }</div>
<div class="line"><a name="l00225"></a><span class="lineno"> 225</span>  };</div>
<div class="line"><a name="l00226"></a><span class="lineno"> 226</span> </div>
<div class="line"><a name="l00227"></a><span class="lineno"> 227</span>  <span class="keyword">mutable</span> <a class="code" href="group__enums.html#ga51bc1ac16f26ebe51eae1abb77bd037b">ComputationInfo</a> m_info;</div>
<div class="line"><a name="l00228"></a><span class="lineno"> 228</span>  <span class="keywordtype">bool</span> m_isInitialized;</div>
<div class="line"><a name="l00229"></a><span class="lineno"> 229</span>  <span class="keywordtype">bool</span> m_factorizationIsOk;</div>
<div class="line"><a name="l00230"></a><span class="lineno"> 230</span>  <span class="keywordtype">bool</span> m_analysisIsOk;</div>
<div class="line"><a name="l00231"></a><span class="lineno"> 231</span>  </div>
<div class="line"><a name="l00232"></a><span class="lineno"> 232</span>  <a class="code" href="classEigen_1_1SparseMatrix.html">CholMatrixType</a> m_matrix;</div>
<div class="line"><a name="l00233"></a><span class="lineno"> 233</span>  <a class="code" href="classEigen_1_1Matrix.html">VectorType</a> m_diag; <span class="comment">// the diagonal coefficients (LDLT mode)</span></div>
<div class="line"><a name="l00234"></a><span class="lineno"> 234</span>  <a class="code" href="classEigen_1_1Matrix.html">VectorXi</a> m_parent; <span class="comment">// elimination tree</span></div>
<div class="line"><a name="l00235"></a><span class="lineno"> 235</span>  <a class="code" href="classEigen_1_1Matrix.html">VectorXi</a> m_nonZerosPerCol;</div>
<div class="line"><a name="l00236"></a><span class="lineno"> 236</span>  <a class="code" href="classEigen_1_1PermutationMatrix.html">PermutationMatrix<Dynamic,Dynamic,Index></a> m_P; <span class="comment">// the permutation</span></div>
<div class="line"><a name="l00237"></a><span class="lineno"> 237</span>  <a class="code" href="classEigen_1_1PermutationMatrix.html">PermutationMatrix<Dynamic,Dynamic,Index></a> m_Pinv; <span class="comment">// the inverse permutation</span></div>
<div class="line"><a name="l00238"></a><span class="lineno"> 238</span> </div>
<div class="line"><a name="l00239"></a><span class="lineno"> 239</span>  RealScalar m_shiftOffset;</div>
<div class="line"><a name="l00240"></a><span class="lineno"> 240</span>  RealScalar m_shiftScale;</div>
<div class="line"><a name="l00241"></a><span class="lineno"> 241</span> };</div>
<div class="line"><a name="l00242"></a><span class="lineno"> 242</span> </div>
<div class="line"><a name="l00243"></a><span class="lineno"><a class="line" href="classEigen_1_1SimplicialLLT.html"> 243</a></span> <span class="keyword">template</span><<span class="keyword">typename</span> _MatrixType, <span class="keywordtype">int</span> _UpLo = Lower> <span class="keyword">class </span><a class="code" href="classEigen_1_1SimplicialLLT.html">SimplicialLLT</a>;</div>
<div class="line"><a name="l00244"></a><span class="lineno"><a class="line" href="classEigen_1_1SimplicialLDLT.html"> 244</a></span> <span class="keyword">template</span><<span class="keyword">typename</span> _MatrixType, <span class="keywordtype">int</span> _UpLo = Lower> <span class="keyword">class </span><a class="code" href="classEigen_1_1SimplicialLDLT.html">SimplicialLDLT</a>;</div>
<div class="line"><a name="l00245"></a><span class="lineno"><a class="line" href="classEigen_1_1SimplicialCholesky.html"> 245</a></span> <span class="keyword">template</span><<span class="keyword">typename</span> _MatrixType, <span class="keywordtype">int</span> _UpLo = Lower> <span class="keyword">class </span><a class="code" href="classEigen_1_1SimplicialCholesky.html">SimplicialCholesky</a>;</div>
<div class="line"><a name="l00246"></a><span class="lineno"> 246</span> </div>
<div class="line"><a name="l00247"></a><span class="lineno"> 247</span> <span class="keyword">namespace </span>internal {</div>
<div class="line"><a name="l00248"></a><span class="lineno"> 248</span> </div>
<div class="line"><a name="l00249"></a><span class="lineno"> 249</span> <span class="keyword">template</span><<span class="keyword">typename</span> _MatrixType, <span class="keywordtype">int</span> _UpLo> <span class="keyword">struct </span>traits<<a class="code" href="classEigen_1_1SimplicialLLT.html">SimplicialLLT</a><_MatrixType,_UpLo> ></div>
<div class="line"><a name="l00250"></a><span class="lineno"> 250</span> {</div>
<div class="line"><a name="l00251"></a><span class="lineno"> 251</span>  <span class="keyword">typedef</span> _MatrixType MatrixType;</div>
<div class="line"><a name="l00252"></a><span class="lineno"> 252</span>  <span class="keyword">enum</span> { UpLo = _UpLo };</div>
<div class="line"><a name="l00253"></a><span class="lineno"> 253</span>  <span class="keyword">typedef</span> <span class="keyword">typename</span> MatrixType::Scalar Scalar;</div>
<div class="line"><a name="l00254"></a><span class="lineno"> 254</span>  <span class="keyword">typedef</span> <span class="keyword">typename</span> MatrixType::Index Index;</div>
<div class="line"><a name="l00255"></a><span class="lineno"> 255</span>  <span class="keyword">typedef</span> <a class="code" href="classEigen_1_1SparseMatrix.html">SparseMatrix<Scalar, ColMajor, Index></a> CholMatrixType;</div>
<div class="line"><a name="l00256"></a><span class="lineno"> 256</span>  <span class="keyword">typedef</span> SparseTriangularView<CholMatrixType, Eigen::Lower> MatrixL;</div>
<div class="line"><a name="l00257"></a><span class="lineno"> 257</span>  <span class="keyword">typedef</span> SparseTriangularView<typename CholMatrixType::AdjointReturnType, Eigen::Upper> MatrixU;</div>
<div class="line"><a name="l00258"></a><span class="lineno"> 258</span>  <span class="keyword">static</span> <span class="keyword">inline</span> MatrixL getL(<span class="keyword">const</span> MatrixType& m) { <span class="keywordflow">return</span> m; }</div>
<div class="line"><a name="l00259"></a><span class="lineno"> 259</span>  <span class="keyword">static</span> <span class="keyword">inline</span> MatrixU getU(<span class="keyword">const</span> MatrixType& m) { <span class="keywordflow">return</span> m.adjoint(); }</div>
<div class="line"><a name="l00260"></a><span class="lineno"> 260</span> };</div>
<div class="line"><a name="l00261"></a><span class="lineno"> 261</span> </div>
<div class="line"><a name="l00262"></a><span class="lineno"> 262</span> <span class="keyword">template</span><<span class="keyword">typename</span> _MatrixType,<span class="keywordtype">int</span> _UpLo> <span class="keyword">struct </span>traits<SimplicialLDLT<_MatrixType,_UpLo> ></div>
<div class="line"><a name="l00263"></a><span class="lineno"> 263</span> {</div>
<div class="line"><a name="l00264"></a><span class="lineno"> 264</span>  <span class="keyword">typedef</span> _MatrixType MatrixType;</div>
<div class="line"><a name="l00265"></a><span class="lineno"> 265</span>  <span class="keyword">enum</span> { UpLo = _UpLo };</div>
<div class="line"><a name="l00266"></a><span class="lineno"> 266</span>  <span class="keyword">typedef</span> <span class="keyword">typename</span> MatrixType::Scalar Scalar;</div>
<div class="line"><a name="l00267"></a><span class="lineno"> 267</span>  <span class="keyword">typedef</span> <span class="keyword">typename</span> MatrixType::Index Index;</div>
<div class="line"><a name="l00268"></a><span class="lineno"> 268</span>  <span class="keyword">typedef</span> SparseMatrix<Scalar, ColMajor, Index> CholMatrixType;</div>
<div class="line"><a name="l00269"></a><span class="lineno"> 269</span>  <span class="keyword">typedef</span> SparseTriangularView<CholMatrixType, Eigen::UnitLower> MatrixL;</div>
<div class="line"><a name="l00270"></a><span class="lineno"> 270</span>  <span class="keyword">typedef</span> SparseTriangularView<typename CholMatrixType::AdjointReturnType, Eigen::UnitUpper> MatrixU;</div>
<div class="line"><a name="l00271"></a><span class="lineno"> 271</span>  <span class="keyword">static</span> <span class="keyword">inline</span> MatrixL getL(<span class="keyword">const</span> MatrixType& m) { <span class="keywordflow">return</span> m; }</div>
<div class="line"><a name="l00272"></a><span class="lineno"> 272</span>  <span class="keyword">static</span> <span class="keyword">inline</span> MatrixU getU(<span class="keyword">const</span> MatrixType& m) { <span class="keywordflow">return</span> m.adjoint(); }</div>
<div class="line"><a name="l00273"></a><span class="lineno"> 273</span> };</div>
<div class="line"><a name="l00274"></a><span class="lineno"> 274</span> </div>
<div class="line"><a name="l00275"></a><span class="lineno"> 275</span> <span class="keyword">template</span><<span class="keyword">typename</span> _MatrixType, <span class="keywordtype">int</span> _UpLo> <span class="keyword">struct </span>traits<SimplicialCholesky<_MatrixType,_UpLo> ></div>
<div class="line"><a name="l00276"></a><span class="lineno"> 276</span> {</div>
<div class="line"><a name="l00277"></a><span class="lineno"> 277</span>  <span class="keyword">typedef</span> _MatrixType MatrixType;</div>
<div class="line"><a name="l00278"></a><span class="lineno"> 278</span>  <span class="keyword">enum</span> { UpLo = _UpLo };</div>
<div class="line"><a name="l00279"></a><span class="lineno"> 279</span> };</div>
<div class="line"><a name="l00280"></a><span class="lineno"> 280</span> </div>
<div class="line"><a name="l00281"></a><span class="lineno"> 281</span> }</div>
<div class="line"><a name="l00282"></a><span class="lineno"> 282</span> </div>
<div class="line"><a name="l00300"></a><span class="lineno"> 300</span> <span class="keyword">template</span><<span class="keyword">typename</span> _MatrixType, <span class="keywordtype">int</span> _UpLo></div>
<div class="line"><a name="l00301"></a><span class="lineno"> 301</span>  <span class="keyword">class </span>SimplicialLLT : <span class="keyword">public</span> SimplicialCholeskyBase<SimplicialLLT<_MatrixType,_UpLo> ></div>
<div class="line"><a name="l00302"></a><span class="lineno"> 302</span> {</div>
<div class="line"><a name="l00303"></a><span class="lineno"> 303</span> <span class="keyword">public</span>:</div>
<div class="line"><a name="l00304"></a><span class="lineno"> 304</span>  <span class="keyword">typedef</span> _MatrixType MatrixType;</div>
<div class="line"><a name="l00305"></a><span class="lineno"> 305</span>  <span class="keyword">enum</span> { UpLo = _UpLo };</div>
<div class="line"><a name="l00306"></a><span class="lineno"> 306</span>  <span class="keyword">typedef</span> SimplicialCholeskyBase<SimplicialLLT> Base;</div>
<div class="line"><a name="l00307"></a><span class="lineno"> 307</span>  <span class="keyword">typedef</span> <span class="keyword">typename</span> MatrixType::Scalar Scalar;</div>
<div class="line"><a name="l00308"></a><span class="lineno"> 308</span>  <span class="keyword">typedef</span> <span class="keyword">typename</span> MatrixType::RealScalar RealScalar;</div>
<div class="line"><a name="l00309"></a><span class="lineno"> 309</span>  <span class="keyword">typedef</span> <span class="keyword">typename</span> MatrixType::Index Index;</div>
<div class="line"><a name="l00310"></a><span class="lineno"> 310</span>  <span class="keyword">typedef</span> SparseMatrix<Scalar,ColMajor,Index> CholMatrixType;</div>
<div class="line"><a name="l00311"></a><span class="lineno"> 311</span>  <span class="keyword">typedef</span> Matrix<Scalar,Dynamic,1> VectorType;</div>
<div class="line"><a name="l00312"></a><span class="lineno"> 312</span>  <span class="keyword">typedef</span> internal::traits<SimplicialLLT> Traits;</div>
<div class="line"><a name="l00313"></a><span class="lineno"> 313</span>  <span class="keyword">typedef</span> <span class="keyword">typename</span> Traits::MatrixL MatrixL;</div>
<div class="line"><a name="l00314"></a><span class="lineno"> 314</span>  <span class="keyword">typedef</span> <span class="keyword">typename</span> Traits::MatrixU MatrixU;</div>
<div class="line"><a name="l00315"></a><span class="lineno"> 315</span> <span class="keyword">public</span>:</div>
<div class="line"><a name="l00317"></a><span class="lineno"><a class="line" href="classEigen_1_1SimplicialLLT.html#a717685fefade3f90b93443f64783f78a"> 317</a></span>  <a class="code" href="classEigen_1_1SimplicialLLT.html#a717685fefade3f90b93443f64783f78a">SimplicialLLT</a>() : <a class="code" href="classEigen_1_1SimplicialCholeskyBase.html">Base</a>() {}</div>
<div class="line"><a name="l00319"></a><span class="lineno"><a class="line" href="classEigen_1_1SimplicialLLT.html#ad0be567ad2ffb773ab672be87fb6f71e"> 319</a></span>  <a class="code" href="classEigen_1_1SimplicialLLT.html#ad0be567ad2ffb773ab672be87fb6f71e">SimplicialLLT</a>(<span class="keyword">const</span> MatrixType& matrix)</div>
<div class="line"><a name="l00320"></a><span class="lineno"> 320</span>  : <a class="code" href="classEigen_1_1SimplicialCholeskyBase.html">Base</a>(matrix) {}</div>
<div class="line"><a name="l00321"></a><span class="lineno"> 321</span> </div>
<div class="line"><a name="l00323"></a><span class="lineno"><a class="line" href="classEigen_1_1SimplicialLLT.html#a7fbf104f2061ca8a0354e31b467c75a7"> 323</a></span>  <span class="keyword">inline</span> <span class="keyword">const</span> MatrixL <a class="code" href="classEigen_1_1SimplicialLLT.html#a7fbf104f2061ca8a0354e31b467c75a7">matrixL</a>()<span class="keyword"> const </span>{</div>
<div class="line"><a name="l00324"></a><span class="lineno"> 324</span>  eigen_assert(Base::m_factorizationIsOk && <span class="stringliteral">"Simplicial LLT not factorized"</span>);</div>
<div class="line"><a name="l00325"></a><span class="lineno"> 325</span>  <span class="keywordflow">return</span> Traits::getL(Base::m_matrix);</div>
<div class="line"><a name="l00326"></a><span class="lineno"> 326</span>  }</div>
<div class="line"><a name="l00327"></a><span class="lineno"> 327</span> </div>
<div class="line"><a name="l00329"></a><span class="lineno"><a class="line" href="classEigen_1_1SimplicialLLT.html#a490989fca7fc80282cb7fa18836be1a0"> 329</a></span>  <span class="keyword">inline</span> <span class="keyword">const</span> MatrixU <a class="code" href="classEigen_1_1SimplicialLLT.html#a490989fca7fc80282cb7fa18836be1a0">matrixU</a>()<span class="keyword"> const </span>{</div>
<div class="line"><a name="l00330"></a><span class="lineno"> 330</span>  eigen_assert(Base::m_factorizationIsOk && <span class="stringliteral">"Simplicial LLT not factorized"</span>);</div>
<div class="line"><a name="l00331"></a><span class="lineno"> 331</span>  <span class="keywordflow">return</span> Traits::getU(Base::m_matrix);</div>
<div class="line"><a name="l00332"></a><span class="lineno"> 332</span>  }</div>
<div class="line"><a name="l00333"></a><span class="lineno"> 333</span>  </div>
<div class="line"><a name="l00335"></a><span class="lineno"><a class="line" href="classEigen_1_1SimplicialLLT.html#a70ff3f219435bbcd1afba081a65a251c"> 335</a></span>  <a class="code" href="classEigen_1_1SimplicialLLT.html">SimplicialLLT</a>& <a class="code" href="classEigen_1_1SimplicialLLT.html#a70ff3f219435bbcd1afba081a65a251c">compute</a>(<span class="keyword">const</span> MatrixType& matrix)</div>
<div class="line"><a name="l00336"></a><span class="lineno"> 336</span>  {</div>
<div class="line"><a name="l00337"></a><span class="lineno"> 337</span>  Base::template compute<false>(matrix);</div>
<div class="line"><a name="l00338"></a><span class="lineno"> 338</span>  <span class="keywordflow">return</span> *<span class="keyword">this</span>;</div>
<div class="line"><a name="l00339"></a><span class="lineno"> 339</span>  }</div>
<div class="line"><a name="l00340"></a><span class="lineno"> 340</span> </div>
<div class="line"><a name="l00347"></a><span class="lineno"><a class="line" href="classEigen_1_1SimplicialLLT.html#a2adabb7d22f4ca60b8cc82b3c5db33ca"> 347</a></span>  <span class="keywordtype">void</span> <a class="code" href="classEigen_1_1SimplicialLLT.html#a2adabb7d22f4ca60b8cc82b3c5db33ca">analyzePattern</a>(<span class="keyword">const</span> MatrixType& a)</div>
<div class="line"><a name="l00348"></a><span class="lineno"> 348</span>  {</div>
<div class="line"><a name="l00349"></a><span class="lineno"> 349</span>  Base::analyzePattern(a, <span class="keyword">false</span>);</div>
<div class="line"><a name="l00350"></a><span class="lineno"> 350</span>  }</div>
<div class="line"><a name="l00351"></a><span class="lineno"> 351</span> </div>
<div class="line"><a name="l00358"></a><span class="lineno"><a class="line" href="classEigen_1_1SimplicialLLT.html#aa45af9cb61ffb74e1b6cbde39f641166"> 358</a></span>  <span class="keywordtype">void</span> <a class="code" href="classEigen_1_1SimplicialLLT.html#aa45af9cb61ffb74e1b6cbde39f641166">factorize</a>(<span class="keyword">const</span> MatrixType& a)</div>
<div class="line"><a name="l00359"></a><span class="lineno"> 359</span>  {</div>
<div class="line"><a name="l00360"></a><span class="lineno"> 360</span>  Base::template factorize<false>(a);</div>
<div class="line"><a name="l00361"></a><span class="lineno"> 361</span>  }</div>
<div class="line"><a name="l00362"></a><span class="lineno"> 362</span> </div>
<div class="line"><a name="l00364"></a><span class="lineno"><a class="line" href="classEigen_1_1SimplicialLLT.html#a5b7276a9389ddc98eef275de0767839c"> 364</a></span>  Scalar <a class="code" href="classEigen_1_1SimplicialLLT.html#a5b7276a9389ddc98eef275de0767839c">determinant</a>()<span class="keyword"> const</span></div>
<div class="line"><a name="l00365"></a><span class="lineno"> 365</span> <span class="keyword"> </span>{</div>
<div class="line"><a name="l00366"></a><span class="lineno"> 366</span>  Scalar detL = Base::m_matrix.diagonal().prod();</div>
<div class="line"><a name="l00367"></a><span class="lineno"> 367</span>  <span class="keywordflow">return</span> numext::abs2(detL);</div>
<div class="line"><a name="l00368"></a><span class="lineno"> 368</span>  }</div>
<div class="line"><a name="l00369"></a><span class="lineno"> 369</span> };</div>
<div class="line"><a name="l00370"></a><span class="lineno"> 370</span> </div>
<div class="line"><a name="l00388"></a><span class="lineno"> 388</span> <span class="keyword">template</span><<span class="keyword">typename</span> _MatrixType, <span class="keywordtype">int</span> _UpLo></div>
<div class="line"><a name="l00389"></a><span class="lineno"> 389</span>  <span class="keyword">class </span>SimplicialLDLT : <span class="keyword">public</span> SimplicialCholeskyBase<SimplicialLDLT<_MatrixType,_UpLo> ></div>
<div class="line"><a name="l00390"></a><span class="lineno"> 390</span> {</div>
<div class="line"><a name="l00391"></a><span class="lineno"> 391</span> <span class="keyword">public</span>:</div>
<div class="line"><a name="l00392"></a><span class="lineno"> 392</span>  <span class="keyword">typedef</span> _MatrixType MatrixType;</div>
<div class="line"><a name="l00393"></a><span class="lineno"> 393</span>  <span class="keyword">enum</span> { UpLo = _UpLo };</div>
<div class="line"><a name="l00394"></a><span class="lineno"> 394</span>  <span class="keyword">typedef</span> SimplicialCholeskyBase<SimplicialLDLT> Base;</div>
<div class="line"><a name="l00395"></a><span class="lineno"> 395</span>  <span class="keyword">typedef</span> <span class="keyword">typename</span> MatrixType::Scalar Scalar;</div>
<div class="line"><a name="l00396"></a><span class="lineno"> 396</span>  <span class="keyword">typedef</span> <span class="keyword">typename</span> MatrixType::RealScalar RealScalar;</div>
<div class="line"><a name="l00397"></a><span class="lineno"> 397</span>  <span class="keyword">typedef</span> <span class="keyword">typename</span> MatrixType::Index Index;</div>
<div class="line"><a name="l00398"></a><span class="lineno"> 398</span>  <span class="keyword">typedef</span> SparseMatrix<Scalar,ColMajor,Index> CholMatrixType;</div>
<div class="line"><a name="l00399"></a><span class="lineno"> 399</span>  <span class="keyword">typedef</span> Matrix<Scalar,Dynamic,1> VectorType;</div>
<div class="line"><a name="l00400"></a><span class="lineno"> 400</span>  <span class="keyword">typedef</span> internal::traits<SimplicialLDLT> Traits;</div>
<div class="line"><a name="l00401"></a><span class="lineno"> 401</span>  <span class="keyword">typedef</span> <span class="keyword">typename</span> Traits::MatrixL MatrixL;</div>
<div class="line"><a name="l00402"></a><span class="lineno"> 402</span>  <span class="keyword">typedef</span> <span class="keyword">typename</span> Traits::MatrixU MatrixU;</div>
<div class="line"><a name="l00403"></a><span class="lineno"> 403</span> <span class="keyword">public</span>:</div>
<div class="line"><a name="l00405"></a><span class="lineno"><a class="line" href="classEigen_1_1SimplicialLDLT.html#aac34342019296787e9e121b8643bd8fe"> 405</a></span>  <a class="code" href="classEigen_1_1SimplicialLDLT.html#aac34342019296787e9e121b8643bd8fe">SimplicialLDLT</a>() : <a class="code" href="classEigen_1_1SimplicialCholeskyBase.html">Base</a>() {}</div>
<div class="line"><a name="l00406"></a><span class="lineno"> 406</span> </div>
<div class="line"><a name="l00408"></a><span class="lineno"><a class="line" href="classEigen_1_1SimplicialLDLT.html#a2262a4a93c7c0ee33136be663075c97c"> 408</a></span>  <a class="code" href="classEigen_1_1SimplicialLDLT.html#a2262a4a93c7c0ee33136be663075c97c">SimplicialLDLT</a>(<span class="keyword">const</span> MatrixType& matrix)</div>
<div class="line"><a name="l00409"></a><span class="lineno"> 409</span>  : <a class="code" href="classEigen_1_1SimplicialCholeskyBase.html">Base</a>(matrix) {}</div>
<div class="line"><a name="l00410"></a><span class="lineno"> 410</span> </div>
<div class="line"><a name="l00412"></a><span class="lineno"><a class="line" href="classEigen_1_1SimplicialLDLT.html#af251be55ba61c6501c6ea5d1aea7e8ac"> 412</a></span>  <span class="keyword">inline</span> <span class="keyword">const</span> <a class="code" href="classEigen_1_1Matrix.html">VectorType</a> <a class="code" href="classEigen_1_1SimplicialLDLT.html#af251be55ba61c6501c6ea5d1aea7e8ac">vectorD</a>()<span class="keyword"> const </span>{</div>
<div class="line"><a name="l00413"></a><span class="lineno"> 413</span>  eigen_assert(Base::m_factorizationIsOk && <span class="stringliteral">"Simplicial LDLT not factorized"</span>);</div>
<div class="line"><a name="l00414"></a><span class="lineno"> 414</span>  <span class="keywordflow">return</span> Base::m_diag;</div>
<div class="line"><a name="l00415"></a><span class="lineno"> 415</span>  }</div>
<div class="line"><a name="l00417"></a><span class="lineno"><a class="line" href="classEigen_1_1SimplicialLDLT.html#a7fbf104f2061ca8a0354e31b467c75a7"> 417</a></span>  <span class="keyword">inline</span> <span class="keyword">const</span> MatrixL <a class="code" href="classEigen_1_1SimplicialLDLT.html#a7fbf104f2061ca8a0354e31b467c75a7">matrixL</a>()<span class="keyword"> const </span>{</div>
<div class="line"><a name="l00418"></a><span class="lineno"> 418</span>  eigen_assert(Base::m_factorizationIsOk && <span class="stringliteral">"Simplicial LDLT not factorized"</span>);</div>
<div class="line"><a name="l00419"></a><span class="lineno"> 419</span>  <span class="keywordflow">return</span> Traits::getL(Base::m_matrix);</div>
<div class="line"><a name="l00420"></a><span class="lineno"> 420</span>  }</div>
<div class="line"><a name="l00421"></a><span class="lineno"> 421</span> </div>
<div class="line"><a name="l00423"></a><span class="lineno"><a class="line" href="classEigen_1_1SimplicialLDLT.html#a490989fca7fc80282cb7fa18836be1a0"> 423</a></span>  <span class="keyword">inline</span> <span class="keyword">const</span> MatrixU <a class="code" href="classEigen_1_1SimplicialLDLT.html#a490989fca7fc80282cb7fa18836be1a0">matrixU</a>()<span class="keyword"> const </span>{</div>
<div class="line"><a name="l00424"></a><span class="lineno"> 424</span>  eigen_assert(Base::m_factorizationIsOk && <span class="stringliteral">"Simplicial LDLT not factorized"</span>);</div>
<div class="line"><a name="l00425"></a><span class="lineno"> 425</span>  <span class="keywordflow">return</span> Traits::getU(Base::m_matrix);</div>
<div class="line"><a name="l00426"></a><span class="lineno"> 426</span>  }</div>
<div class="line"><a name="l00427"></a><span class="lineno"> 427</span> </div>
<div class="line"><a name="l00429"></a><span class="lineno"><a class="line" href="classEigen_1_1SimplicialLDLT.html#abb673a0279657b0d56956834432d6efa"> 429</a></span>  <a class="code" href="classEigen_1_1SimplicialLDLT.html">SimplicialLDLT</a>& <a class="code" href="classEigen_1_1SimplicialLDLT.html#abb673a0279657b0d56956834432d6efa">compute</a>(<span class="keyword">const</span> MatrixType& matrix)</div>
<div class="line"><a name="l00430"></a><span class="lineno"> 430</span>  {</div>
<div class="line"><a name="l00431"></a><span class="lineno"> 431</span>  Base::template compute<true>(matrix);</div>
<div class="line"><a name="l00432"></a><span class="lineno"> 432</span>  <span class="keywordflow">return</span> *<span class="keyword">this</span>;</div>
<div class="line"><a name="l00433"></a><span class="lineno"> 433</span>  }</div>
<div class="line"><a name="l00434"></a><span class="lineno"> 434</span>  </div>
<div class="line"><a name="l00441"></a><span class="lineno"><a class="line" href="classEigen_1_1SimplicialLDLT.html#a2adabb7d22f4ca60b8cc82b3c5db33ca"> 441</a></span>  <span class="keywordtype">void</span> <a class="code" href="classEigen_1_1SimplicialLDLT.html#a2adabb7d22f4ca60b8cc82b3c5db33ca">analyzePattern</a>(<span class="keyword">const</span> MatrixType& a)</div>
<div class="line"><a name="l00442"></a><span class="lineno"> 442</span>  {</div>
<div class="line"><a name="l00443"></a><span class="lineno"> 443</span>  Base::analyzePattern(a, <span class="keyword">true</span>);</div>
<div class="line"><a name="l00444"></a><span class="lineno"> 444</span>  }</div>
<div class="line"><a name="l00445"></a><span class="lineno"> 445</span> </div>
<div class="line"><a name="l00452"></a><span class="lineno"><a class="line" href="classEigen_1_1SimplicialLDLT.html#aa45af9cb61ffb74e1b6cbde39f641166"> 452</a></span>  <span class="keywordtype">void</span> <a class="code" href="classEigen_1_1SimplicialLDLT.html#aa45af9cb61ffb74e1b6cbde39f641166">factorize</a>(<span class="keyword">const</span> MatrixType& a)</div>
<div class="line"><a name="l00453"></a><span class="lineno"> 453</span>  {</div>
<div class="line"><a name="l00454"></a><span class="lineno"> 454</span>  Base::template factorize<true>(a);</div>
<div class="line"><a name="l00455"></a><span class="lineno"> 455</span>  }</div>
<div class="line"><a name="l00456"></a><span class="lineno"> 456</span> </div>
<div class="line"><a name="l00458"></a><span class="lineno"><a class="line" href="classEigen_1_1SimplicialLDLT.html#a5b7276a9389ddc98eef275de0767839c"> 458</a></span>  Scalar <a class="code" href="classEigen_1_1SimplicialLDLT.html#a5b7276a9389ddc98eef275de0767839c">determinant</a>()<span class="keyword"> const</span></div>
<div class="line"><a name="l00459"></a><span class="lineno"> 459</span> <span class="keyword"> </span>{</div>
<div class="line"><a name="l00460"></a><span class="lineno"> 460</span>  <span class="keywordflow">return</span> Base::m_diag.prod();</div>
<div class="line"><a name="l00461"></a><span class="lineno"> 461</span>  }</div>
<div class="line"><a name="l00462"></a><span class="lineno"> 462</span> };</div>
<div class="line"><a name="l00463"></a><span class="lineno"> 463</span> </div>
<div class="line"><a name="l00470"></a><span class="lineno"> 470</span> <span class="keyword">template</span><<span class="keyword">typename</span> _MatrixType, <span class="keywordtype">int</span> _UpLo></div>
<div class="line"><a name="l00471"></a><span class="lineno"> 471</span>  <span class="keyword">class </span>SimplicialCholesky : <span class="keyword">public</span> SimplicialCholeskyBase<SimplicialCholesky<_MatrixType,_UpLo> ></div>
<div class="line"><a name="l00472"></a><span class="lineno"> 472</span> {</div>
<div class="line"><a name="l00473"></a><span class="lineno"> 473</span> <span class="keyword">public</span>:</div>
<div class="line"><a name="l00474"></a><span class="lineno"> 474</span>  <span class="keyword">typedef</span> _MatrixType MatrixType;</div>
<div class="line"><a name="l00475"></a><span class="lineno"> 475</span>  <span class="keyword">enum</span> { UpLo = _UpLo };</div>
<div class="line"><a name="l00476"></a><span class="lineno"> 476</span>  <span class="keyword">typedef</span> SimplicialCholeskyBase<SimplicialCholesky> Base;</div>
<div class="line"><a name="l00477"></a><span class="lineno"> 477</span>  <span class="keyword">typedef</span> <span class="keyword">typename</span> MatrixType::Scalar Scalar;</div>
<div class="line"><a name="l00478"></a><span class="lineno"> 478</span>  <span class="keyword">typedef</span> <span class="keyword">typename</span> MatrixType::RealScalar RealScalar;</div>
<div class="line"><a name="l00479"></a><span class="lineno"> 479</span>  <span class="keyword">typedef</span> <span class="keyword">typename</span> MatrixType::Index Index;</div>
<div class="line"><a name="l00480"></a><span class="lineno"> 480</span>  <span class="keyword">typedef</span> SparseMatrix<Scalar,ColMajor,Index> CholMatrixType;</div>
<div class="line"><a name="l00481"></a><span class="lineno"> 481</span>  <span class="keyword">typedef</span> Matrix<Scalar,Dynamic,1> VectorType;</div>
<div class="line"><a name="l00482"></a><span class="lineno"> 482</span>  <span class="keyword">typedef</span> internal::traits<SimplicialCholesky> Traits;</div>
<div class="line"><a name="l00483"></a><span class="lineno"> 483</span>  <span class="keyword">typedef</span> internal::traits<SimplicialLDLT<MatrixType,UpLo> > LDLTTraits;</div>
<div class="line"><a name="l00484"></a><span class="lineno"> 484</span>  <span class="keyword">typedef</span> internal::traits<SimplicialLLT<MatrixType,UpLo> > LLTTraits;</div>
<div class="line"><a name="l00485"></a><span class="lineno"> 485</span>  <span class="keyword">public</span>:</div>
<div class="line"><a name="l00486"></a><span class="lineno"> 486</span>  SimplicialCholesky() : Base(), m_LDLT(true) {}</div>
<div class="line"><a name="l00487"></a><span class="lineno"> 487</span> </div>
<div class="line"><a name="l00488"></a><span class="lineno"> 488</span>  SimplicialCholesky(<span class="keyword">const</span> MatrixType& matrix)</div>
<div class="line"><a name="l00489"></a><span class="lineno"> 489</span>  : Base(), m_LDLT(true)</div>
<div class="line"><a name="l00490"></a><span class="lineno"> 490</span>  {</div>
<div class="line"><a name="l00491"></a><span class="lineno"> 491</span>  <a class="code" href="classEigen_1_1SimplicialCholesky.html#af9baf4f7c7dd5791f9d6c21143ad6af2">compute</a>(matrix);</div>
<div class="line"><a name="l00492"></a><span class="lineno"> 492</span>  }</div>
<div class="line"><a name="l00493"></a><span class="lineno"> 493</span> </div>
<div class="line"><a name="l00494"></a><span class="lineno"> 494</span>  SimplicialCholesky& setMode(SimplicialCholeskyMode mode)</div>
<div class="line"><a name="l00495"></a><span class="lineno"> 495</span>  {</div>
<div class="line"><a name="l00496"></a><span class="lineno"> 496</span>  <span class="keywordflow">switch</span>(mode)</div>
<div class="line"><a name="l00497"></a><span class="lineno"> 497</span>  {</div>
<div class="line"><a name="l00498"></a><span class="lineno"> 498</span>  <span class="keywordflow">case</span> SimplicialCholeskyLLT:</div>
<div class="line"><a name="l00499"></a><span class="lineno"> 499</span>  m_LDLT = <span class="keyword">false</span>;</div>
<div class="line"><a name="l00500"></a><span class="lineno"> 500</span>  <span class="keywordflow">break</span>;</div>
<div class="line"><a name="l00501"></a><span class="lineno"> 501</span>  <span class="keywordflow">case</span> SimplicialCholeskyLDLT:</div>
<div class="line"><a name="l00502"></a><span class="lineno"> 502</span>  m_LDLT = <span class="keyword">true</span>;</div>
<div class="line"><a name="l00503"></a><span class="lineno"> 503</span>  <span class="keywordflow">break</span>;</div>
<div class="line"><a name="l00504"></a><span class="lineno"> 504</span>  <span class="keywordflow">default</span>:</div>
<div class="line"><a name="l00505"></a><span class="lineno"> 505</span>  <span class="keywordflow">break</span>;</div>
<div class="line"><a name="l00506"></a><span class="lineno"> 506</span>  }</div>
<div class="line"><a name="l00507"></a><span class="lineno"> 507</span> </div>
<div class="line"><a name="l00508"></a><span class="lineno"> 508</span>  <span class="keywordflow">return</span> *<span class="keyword">this</span>;</div>
<div class="line"><a name="l00509"></a><span class="lineno"> 509</span>  }</div>
<div class="line"><a name="l00510"></a><span class="lineno"> 510</span> </div>
<div class="line"><a name="l00511"></a><span class="lineno"> 511</span>  <span class="keyword">inline</span> <span class="keyword">const</span> VectorType vectorD()<span class="keyword"> const </span>{</div>
<div class="line"><a name="l00512"></a><span class="lineno"> 512</span>  eigen_assert(Base::m_factorizationIsOk && <span class="stringliteral">"Simplicial Cholesky not factorized"</span>);</div>
<div class="line"><a name="l00513"></a><span class="lineno"> 513</span>  <span class="keywordflow">return</span> Base::m_diag;</div>
<div class="line"><a name="l00514"></a><span class="lineno"> 514</span>  }</div>
<div class="line"><a name="l00515"></a><span class="lineno"> 515</span>  <span class="keyword">inline</span> <span class="keyword">const</span> CholMatrixType rawMatrix()<span class="keyword"> const </span>{</div>
<div class="line"><a name="l00516"></a><span class="lineno"> 516</span>  eigen_assert(Base::m_factorizationIsOk && <span class="stringliteral">"Simplicial Cholesky not factorized"</span>);</div>
<div class="line"><a name="l00517"></a><span class="lineno"> 517</span>  <span class="keywordflow">return</span> Base::m_matrix;</div>
<div class="line"><a name="l00518"></a><span class="lineno"> 518</span>  }</div>
<div class="line"><a name="l00519"></a><span class="lineno"> 519</span>  </div>
<div class="line"><a name="l00521"></a><span class="lineno"><a class="line" href="classEigen_1_1SimplicialCholesky.html#af9baf4f7c7dd5791f9d6c21143ad6af2"> 521</a></span>  <a class="code" href="classEigen_1_1SimplicialCholesky.html">SimplicialCholesky</a>& <a class="code" href="classEigen_1_1SimplicialCholesky.html#af9baf4f7c7dd5791f9d6c21143ad6af2">compute</a>(<span class="keyword">const</span> MatrixType& matrix)</div>
<div class="line"><a name="l00522"></a><span class="lineno"> 522</span>  {</div>
<div class="line"><a name="l00523"></a><span class="lineno"> 523</span>  <span class="keywordflow">if</span>(m_LDLT)</div>
<div class="line"><a name="l00524"></a><span class="lineno"> 524</span>  Base::template compute<true>(matrix);</div>
<div class="line"><a name="l00525"></a><span class="lineno"> 525</span>  <span class="keywordflow">else</span></div>
<div class="line"><a name="l00526"></a><span class="lineno"> 526</span>  Base::template compute<false>(matrix);</div>
<div class="line"><a name="l00527"></a><span class="lineno"> 527</span>  <span class="keywordflow">return</span> *<span class="keyword">this</span>;</div>
<div class="line"><a name="l00528"></a><span class="lineno"> 528</span>  }</div>
<div class="line"><a name="l00529"></a><span class="lineno"> 529</span> </div>
<div class="line"><a name="l00536"></a><span class="lineno"><a class="line" href="classEigen_1_1SimplicialCholesky.html#a2adabb7d22f4ca60b8cc82b3c5db33ca"> 536</a></span>  <span class="keywordtype">void</span> <a class="code" href="classEigen_1_1SimplicialCholesky.html#a2adabb7d22f4ca60b8cc82b3c5db33ca">analyzePattern</a>(<span class="keyword">const</span> MatrixType& a)</div>
<div class="line"><a name="l00537"></a><span class="lineno"> 537</span>  {</div>
<div class="line"><a name="l00538"></a><span class="lineno"> 538</span>  Base::analyzePattern(a, m_LDLT);</div>
<div class="line"><a name="l00539"></a><span class="lineno"> 539</span>  }</div>
<div class="line"><a name="l00540"></a><span class="lineno"> 540</span> </div>
<div class="line"><a name="l00547"></a><span class="lineno"><a class="line" href="classEigen_1_1SimplicialCholesky.html#aa45af9cb61ffb74e1b6cbde39f641166"> 547</a></span>  <span class="keywordtype">void</span> <a class="code" href="classEigen_1_1SimplicialCholesky.html#aa45af9cb61ffb74e1b6cbde39f641166">factorize</a>(<span class="keyword">const</span> MatrixType& a)</div>
<div class="line"><a name="l00548"></a><span class="lineno"> 548</span>  {</div>
<div class="line"><a name="l00549"></a><span class="lineno"> 549</span>  <span class="keywordflow">if</span>(m_LDLT)</div>
<div class="line"><a name="l00550"></a><span class="lineno"> 550</span>  Base::template factorize<true>(a);</div>
<div class="line"><a name="l00551"></a><span class="lineno"> 551</span>  <span class="keywordflow">else</span></div>
<div class="line"><a name="l00552"></a><span class="lineno"> 552</span>  Base::template factorize<false>(a);</div>
<div class="line"><a name="l00553"></a><span class="lineno"> 553</span>  }</div>
<div class="line"><a name="l00554"></a><span class="lineno"> 554</span> </div>
<div class="line"><a name="l00556"></a><span class="lineno"> 556</span>  <span class="keyword">template</span><<span class="keyword">typename</span> Rhs,<span class="keyword">typename</span> Dest></div>
<div class="line"><a name="l00557"></a><span class="lineno"> 557</span>  <span class="keywordtype">void</span> _solve(<span class="keyword">const</span> <a class="code" href="classEigen_1_1MatrixBase.html">MatrixBase<Rhs></a> &b, <a class="code" href="classEigen_1_1MatrixBase.html">MatrixBase<Dest></a> &dest)<span class="keyword"> const</span></div>
<div class="line"><a name="l00558"></a><span class="lineno"> 558</span> <span class="keyword"> </span>{</div>
<div class="line"><a name="l00559"></a><span class="lineno"> 559</span>  eigen_assert(Base::m_factorizationIsOk && <span class="stringliteral">"The decomposition is not in a valid state for solving, you must first call either compute() or symbolic()/numeric()"</span>);</div>
<div class="line"><a name="l00560"></a><span class="lineno"> 560</span>  eigen_assert(Base::m_matrix.rows()==b.rows());</div>
<div class="line"><a name="l00561"></a><span class="lineno"> 561</span> </div>
<div class="line"><a name="l00562"></a><span class="lineno"> 562</span>  <span class="keywordflow">if</span>(Base::m_info!=<a class="code" href="group__enums.html#gga51bc1ac16f26ebe51eae1abb77bd037bafdfbdf3247bd36a1f17270d5cec74c9c">Success</a>)</div>
<div class="line"><a name="l00563"></a><span class="lineno"> 563</span>  <span class="keywordflow">return</span>;</div>
<div class="line"><a name="l00564"></a><span class="lineno"> 564</span> </div>
<div class="line"><a name="l00565"></a><span class="lineno"> 565</span>  <span class="keywordflow">if</span>(Base::m_P.size()>0)</div>
<div class="line"><a name="l00566"></a><span class="lineno"> 566</span>  dest = Base::m_P * b;</div>
<div class="line"><a name="l00567"></a><span class="lineno"> 567</span>  <span class="keywordflow">else</span></div>
<div class="line"><a name="l00568"></a><span class="lineno"> 568</span>  dest = b;</div>
<div class="line"><a name="l00569"></a><span class="lineno"> 569</span> </div>
<div class="line"><a name="l00570"></a><span class="lineno"> 570</span>  <span class="keywordflow">if</span>(Base::m_matrix.nonZeros()>0) <span class="comment">// otherwise L==I</span></div>
<div class="line"><a name="l00571"></a><span class="lineno"> 571</span>  {</div>
<div class="line"><a name="l00572"></a><span class="lineno"> 572</span>  <span class="keywordflow">if</span>(m_LDLT)</div>
<div class="line"><a name="l00573"></a><span class="lineno"> 573</span>  LDLTTraits::getL(Base::m_matrix).solveInPlace(dest);</div>
<div class="line"><a name="l00574"></a><span class="lineno"> 574</span>  <span class="keywordflow">else</span></div>
<div class="line"><a name="l00575"></a><span class="lineno"> 575</span>  LLTTraits::getL(Base::m_matrix).solveInPlace(dest);</div>
<div class="line"><a name="l00576"></a><span class="lineno"> 576</span>  }</div>
<div class="line"><a name="l00577"></a><span class="lineno"> 577</span> </div>
<div class="line"><a name="l00578"></a><span class="lineno"> 578</span>  <span class="keywordflow">if</span>(Base::m_diag.size()>0)</div>
<div class="line"><a name="l00579"></a><span class="lineno"> 579</span>  dest = Base::m_diag.<a class="code" href="classEigen_1_1MatrixBase.html#adaf22d3a2069ec2c0df912cb87329e9c">asDiagonal</a>().inverse() * dest;</div>
<div class="line"><a name="l00580"></a><span class="lineno"> 580</span> </div>
<div class="line"><a name="l00581"></a><span class="lineno"> 581</span>  <span class="keywordflow">if</span> (Base::m_matrix.nonZeros()>0) <span class="comment">// otherwise I==I</span></div>
<div class="line"><a name="l00582"></a><span class="lineno"> 582</span>  {</div>
<div class="line"><a name="l00583"></a><span class="lineno"> 583</span>  <span class="keywordflow">if</span>(m_LDLT)</div>
<div class="line"><a name="l00584"></a><span class="lineno"> 584</span>  LDLTTraits::getU(Base::m_matrix).solveInPlace(dest);</div>
<div class="line"><a name="l00585"></a><span class="lineno"> 585</span>  <span class="keywordflow">else</span></div>
<div class="line"><a name="l00586"></a><span class="lineno"> 586</span>  LLTTraits::getU(Base::m_matrix).solveInPlace(dest);</div>
<div class="line"><a name="l00587"></a><span class="lineno"> 587</span>  }</div>
<div class="line"><a name="l00588"></a><span class="lineno"> 588</span> </div>
<div class="line"><a name="l00589"></a><span class="lineno"> 589</span>  <span class="keywordflow">if</span>(Base::m_P.size()>0)</div>
<div class="line"><a name="l00590"></a><span class="lineno"> 590</span>  dest = Base::m_Pinv * dest;</div>
<div class="line"><a name="l00591"></a><span class="lineno"> 591</span>  }</div>
<div class="line"><a name="l00592"></a><span class="lineno"> 592</span>  </div>
<div class="line"><a name="l00593"></a><span class="lineno"> 593</span>  Scalar determinant()<span class="keyword"> const</span></div>
<div class="line"><a name="l00594"></a><span class="lineno"> 594</span> <span class="keyword"> </span>{</div>
<div class="line"><a name="l00595"></a><span class="lineno"> 595</span>  <span class="keywordflow">if</span>(m_LDLT)</div>
<div class="line"><a name="l00596"></a><span class="lineno"> 596</span>  {</div>
<div class="line"><a name="l00597"></a><span class="lineno"> 597</span>  <span class="keywordflow">return</span> Base::m_diag.<a class="code" href="classEigen_1_1DenseBase.html#a6bdcbfa7e3b07d3246ad80de7170b0f5">prod</a>();</div>
<div class="line"><a name="l00598"></a><span class="lineno"> 598</span>  }</div>
<div class="line"><a name="l00599"></a><span class="lineno"> 599</span>  <span class="keywordflow">else</span></div>
<div class="line"><a name="l00600"></a><span class="lineno"> 600</span>  {</div>
<div class="line"><a name="l00601"></a><span class="lineno"> 601</span>  Scalar detL = Diagonal<const CholMatrixType>(Base::m_matrix).prod();</div>
<div class="line"><a name="l00602"></a><span class="lineno"> 602</span>  <span class="keywordflow">return</span> numext::abs2(detL);</div>
<div class="line"><a name="l00603"></a><span class="lineno"> 603</span>  }</div>
<div class="line"><a name="l00604"></a><span class="lineno"> 604</span>  }</div>
<div class="line"><a name="l00605"></a><span class="lineno"> 605</span>  </div>
<div class="line"><a name="l00606"></a><span class="lineno"> 606</span>  <span class="keyword">protected</span>:</div>
<div class="line"><a name="l00607"></a><span class="lineno"> 607</span>  <span class="keywordtype">bool</span> m_LDLT;</div>
<div class="line"><a name="l00608"></a><span class="lineno"> 608</span> };</div>
<div class="line"><a name="l00609"></a><span class="lineno"> 609</span> </div>
<div class="line"><a name="l00610"></a><span class="lineno"> 610</span> <span class="keyword">template</span><<span class="keyword">typename</span> Derived></div>
<div class="line"><a name="l00611"></a><span class="lineno"> 611</span> <span class="keywordtype">void</span> SimplicialCholeskyBase<Derived>::ordering(<span class="keyword">const</span> MatrixType& a, CholMatrixType& ap)</div>
<div class="line"><a name="l00612"></a><span class="lineno"> 612</span> {</div>
<div class="line"><a name="l00613"></a><span class="lineno"> 613</span>  eigen_assert(a.rows()==a.cols());</div>
<div class="line"><a name="l00614"></a><span class="lineno"> 614</span>  <span class="keyword">const</span> Index size = a.rows();</div>
<div class="line"><a name="l00615"></a><span class="lineno"> 615</span>  <span class="comment">// TODO allows to configure the permutation</span></div>
<div class="line"><a name="l00616"></a><span class="lineno"> 616</span>  <span class="comment">// Note that amd compute the inverse permutation</span></div>
<div class="line"><a name="l00617"></a><span class="lineno"> 617</span>  {</div>
<div class="line"><a name="l00618"></a><span class="lineno"> 618</span>  CholMatrixType C;</div>
<div class="line"><a name="l00619"></a><span class="lineno"> 619</span>  C = a.template selfadjointView<UpLo>();</div>
<div class="line"><a name="l00620"></a><span class="lineno"> 620</span>  <span class="comment">// remove diagonal entries:</span></div>
<div class="line"><a name="l00621"></a><span class="lineno"> 621</span>  <span class="comment">// seems not to be needed</span></div>
<div class="line"><a name="l00622"></a><span class="lineno"> 622</span>  <span class="comment">// C.prune(keep_diag());</span></div>
<div class="line"><a name="l00623"></a><span class="lineno"> 623</span>  internal::minimum_degree_ordering(C, m_Pinv);</div>
<div class="line"><a name="l00624"></a><span class="lineno"> 624</span>  }</div>
<div class="line"><a name="l00625"></a><span class="lineno"> 625</span> </div>
<div class="line"><a name="l00626"></a><span class="lineno"> 626</span>  <span class="keywordflow">if</span>(m_Pinv.size()>0)</div>
<div class="line"><a name="l00627"></a><span class="lineno"> 627</span>  m_P = m_Pinv.inverse();</div>
<div class="line"><a name="l00628"></a><span class="lineno"> 628</span>  <span class="keywordflow">else</span></div>
<div class="line"><a name="l00629"></a><span class="lineno"> 629</span>  m_P.resize(0);</div>
<div class="line"><a name="l00630"></a><span class="lineno"> 630</span> </div>
<div class="line"><a name="l00631"></a><span class="lineno"> 631</span>  ap.resize(size,size);</div>
<div class="line"><a name="l00632"></a><span class="lineno"> 632</span>  ap.template selfadjointView<Upper>() = a.template selfadjointView<UpLo>().twistedBy(m_P);</div>
<div class="line"><a name="l00633"></a><span class="lineno"> 633</span> }</div>
<div class="line"><a name="l00634"></a><span class="lineno"> 634</span> </div>
<div class="line"><a name="l00635"></a><span class="lineno"> 635</span> <span class="keyword">namespace </span>internal {</div>
<div class="line"><a name="l00636"></a><span class="lineno"> 636</span>  </div>
<div class="line"><a name="l00637"></a><span class="lineno"> 637</span> <span class="keyword">template</span><<span class="keyword">typename</span> Derived, <span class="keyword">typename</span> Rhs></div>
<div class="line"><a name="l00638"></a><span class="lineno"> 638</span> <span class="keyword">struct </span>solve_retval<SimplicialCholeskyBase<Derived>, Rhs></div>
<div class="line"><a name="l00639"></a><span class="lineno"> 639</span>  : solve_retval_base<SimplicialCholeskyBase<Derived>, Rhs></div>
<div class="line"><a name="l00640"></a><span class="lineno"> 640</span> {</div>
<div class="line"><a name="l00641"></a><span class="lineno"> 641</span>  <span class="keyword">typedef</span> SimplicialCholeskyBase<Derived> Dec;</div>
<div class="line"><a name="l00642"></a><span class="lineno"> 642</span>  EIGEN_MAKE_SOLVE_HELPERS(Dec,Rhs)</div>
<div class="line"><a name="l00643"></a><span class="lineno"> 643</span> </div>
<div class="line"><a name="l00644"></a><span class="lineno"> 644</span>  template<typename Dest> <span class="keywordtype">void</span> evalTo(Dest& dst)<span class="keyword"> const</span></div>
<div class="line"><a name="l00645"></a><span class="lineno"> 645</span> <span class="keyword"> </span>{</div>
<div class="line"><a name="l00646"></a><span class="lineno"> 646</span>  dec().derived()._solve(rhs(),dst);</div>
<div class="line"><a name="l00647"></a><span class="lineno"> 647</span>  }</div>
<div class="line"><a name="l00648"></a><span class="lineno"> 648</span> };</div>
<div class="line"><a name="l00649"></a><span class="lineno"> 649</span> </div>
<div class="line"><a name="l00650"></a><span class="lineno"> 650</span> <span class="keyword">template</span><<span class="keyword">typename</span> Derived, <span class="keyword">typename</span> Rhs></div>
<div class="line"><a name="l00651"></a><span class="lineno"> 651</span> <span class="keyword">struct </span>sparse_solve_retval<SimplicialCholeskyBase<Derived>, Rhs></div>
<div class="line"><a name="l00652"></a><span class="lineno"> 652</span>  : sparse_solve_retval_base<SimplicialCholeskyBase<Derived>, Rhs></div>
<div class="line"><a name="l00653"></a><span class="lineno"> 653</span> {</div>
<div class="line"><a name="l00654"></a><span class="lineno"> 654</span>  <span class="keyword">typedef</span> SimplicialCholeskyBase<Derived> Dec;</div>
<div class="line"><a name="l00655"></a><span class="lineno"> 655</span>  EIGEN_MAKE_SPARSE_SOLVE_HELPERS(Dec,Rhs)</div>
<div class="line"><a name="l00656"></a><span class="lineno"> 656</span> </div>
<div class="line"><a name="l00657"></a><span class="lineno"> 657</span>  template<typename Dest> <span class="keywordtype">void</span> evalTo(Dest& dst)<span class="keyword"> const</span></div>
<div class="line"><a name="l00658"></a><span class="lineno"> 658</span> <span class="keyword"> </span>{</div>
<div class="line"><a name="l00659"></a><span class="lineno"> 659</span>  this->defaultEvalTo(dst);</div>
<div class="line"><a name="l00660"></a><span class="lineno"> 660</span>  }</div>
<div class="line"><a name="l00661"></a><span class="lineno"> 661</span> };</div>
<div class="line"><a name="l00662"></a><span class="lineno"> 662</span> </div>
<div class="line"><a name="l00663"></a><span class="lineno"> 663</span> } <span class="comment">// end namespace internal</span></div>
<div class="line"><a name="l00664"></a><span class="lineno"> 664</span> </div>
<div class="line"><a name="l00665"></a><span class="lineno"> 665</span> } <span class="comment">// end namespace Eigen</span></div>
<div class="line"><a name="l00666"></a><span class="lineno"> 666</span> </div>
<div class="line"><a name="l00667"></a><span class="lineno"> 667</span> <span class="preprocessor">#endif // EIGEN_SIMPLICIAL_CHOLESKY_H</span></div>
<div class="ttc" id="classEigen_1_1SparseMatrix_html_a5552abd83dbd03c85cea6d61fd8875a5"><div class="ttname"><a href="classEigen_1_1SparseMatrix.html#a5552abd83dbd03c85cea6d61fd8875a5">Eigen::SparseMatrix::rows</a></div><div class="ttdeci">Index rows() const </div><div class="ttdef"><b>Definition:</b> SparseMatrix.h:119</div></div>
<div class="ttc" id="classEigen_1_1SimplicialLLT_html_a717685fefade3f90b93443f64783f78a"><div class="ttname"><a href="classEigen_1_1SimplicialLLT.html#a717685fefade3f90b93443f64783f78a">Eigen::SimplicialLLT::SimplicialLLT</a></div><div class="ttdeci">SimplicialLLT()</div><div class="ttdef"><b>Definition:</b> SimplicialCholesky.h:317</div></div>
<div class="ttc" id="classEigen_1_1SimplicialCholeskyBase_html_a299d333dcd2cf63c4c2f6cfc0a95da7c"><div class="ttname"><a href="classEigen_1_1SimplicialCholeskyBase.html#a299d333dcd2cf63c4c2f6cfc0a95da7c">Eigen::SimplicialCholeskyBase::setShift</a></div><div class="ttdeci">Derived & setShift(const RealScalar &offset, const RealScalar &scale=1)</div><div class="ttdef"><b>Definition:</b> SimplicialCholesky.h:128</div></div>
<div class="ttc" id="classEigen_1_1SimplicialLLT_html_a7fbf104f2061ca8a0354e31b467c75a7"><div class="ttname"><a href="classEigen_1_1SimplicialLLT.html#a7fbf104f2061ca8a0354e31b467c75a7">Eigen::SimplicialLLT::matrixL</a></div><div class="ttdeci">const MatrixL matrixL() const </div><div class="ttdef"><b>Definition:</b> SimplicialCholesky.h:323</div></div>
<div class="ttc" id="classEigen_1_1SparseMatrix_html_aaca1908a5ec508a25ff0a8bca803e5f3"><div class="ttname"><a href="classEigen_1_1SparseMatrix.html#aaca1908a5ec508a25ff0a8bca803e5f3">Eigen::SparseMatrix::cols</a></div><div class="ttdeci">Index cols() const </div><div class="ttdef"><b>Definition:</b> SparseMatrix.h:121</div></div>
<div class="ttc" id="classEigen_1_1SparseMatrix_html"><div class="ttname"><a href="classEigen_1_1SparseMatrix.html">Eigen::SparseMatrix< Scalar, ColMajor, Index ></a></div></div>
<div class="ttc" id="classEigen_1_1DenseBase_html_a6bdcbfa7e3b07d3246ad80de7170b0f5"><div class="ttname"><a href="classEigen_1_1DenseBase.html#a6bdcbfa7e3b07d3246ad80de7170b0f5">Eigen::DenseBase::prod</a></div><div class="ttdeci">Scalar prod() const </div><div class="ttdef"><b>Definition:</b> Redux.h:386</div></div>
<div class="ttc" id="classEigen_1_1SimplicialCholesky_html_aa45af9cb61ffb74e1b6cbde39f641166"><div class="ttname"><a href="classEigen_1_1SimplicialCholesky.html#aa45af9cb61ffb74e1b6cbde39f641166">Eigen::SimplicialCholesky::factorize</a></div><div class="ttdeci">void factorize(const MatrixType &a)</div><div class="ttdef"><b>Definition:</b> SimplicialCholesky.h:547</div></div>
<div class="ttc" id="classEigen_1_1SimplicialLDLT_html_a2262a4a93c7c0ee33136be663075c97c"><div class="ttname"><a href="classEigen_1_1SimplicialLDLT.html#a2262a4a93c7c0ee33136be663075c97c">Eigen::SimplicialLDLT::SimplicialLDLT</a></div><div class="ttdeci">SimplicialLDLT(const MatrixType &matrix)</div><div class="ttdef"><b>Definition:</b> SimplicialCholesky.h:408</div></div>
<div class="ttc" id="classEigen_1_1SimplicialLLT_html_a2adabb7d22f4ca60b8cc82b3c5db33ca"><div class="ttname"><a href="classEigen_1_1SimplicialLLT.html#a2adabb7d22f4ca60b8cc82b3c5db33ca">Eigen::SimplicialLLT::analyzePattern</a></div><div class="ttdeci">void analyzePattern(const MatrixType &a)</div><div class="ttdef"><b>Definition:</b> SimplicialCholesky.h:347</div></div>
<div class="ttc" id="classEigen_1_1SimplicialLDLT_html_abb673a0279657b0d56956834432d6efa"><div class="ttname"><a href="classEigen_1_1SimplicialLDLT.html#abb673a0279657b0d56956834432d6efa">Eigen::SimplicialLDLT::compute</a></div><div class="ttdeci">SimplicialLDLT & compute(const MatrixType &matrix)</div><div class="ttdef"><b>Definition:</b> SimplicialCholesky.h:429</div></div>
<div class="ttc" id="classEigen_1_1SimplicialLDLT_html"><div class="ttname"><a href="classEigen_1_1SimplicialLDLT.html">Eigen::SimplicialLDLT</a></div><div class="ttdoc">A direct sparse LDLT Cholesky factorizations without square root. </div><div class="ttdef"><b>Definition:</b> SimplicialCholesky.h:244</div></div>
<div class="ttc" id="classEigen_1_1SimplicialCholesky_html_a2adabb7d22f4ca60b8cc82b3c5db33ca"><div class="ttname"><a href="classEigen_1_1SimplicialCholesky.html#a2adabb7d22f4ca60b8cc82b3c5db33ca">Eigen::SimplicialCholesky::analyzePattern</a></div><div class="ttdeci">void analyzePattern(const MatrixType &a)</div><div class="ttdef"><b>Definition:</b> SimplicialCholesky.h:536</div></div>
<div class="ttc" id="classEigen_1_1PermutationMatrix_html"><div class="ttname"><a href="classEigen_1_1PermutationMatrix.html">Eigen::PermutationMatrix< Dynamic, Dynamic, Index ></a></div></div>
<div class="ttc" id="classEigen_1_1SimplicialCholesky_html_af9baf4f7c7dd5791f9d6c21143ad6af2"><div class="ttname"><a href="classEigen_1_1SimplicialCholesky.html#af9baf4f7c7dd5791f9d6c21143ad6af2">Eigen::SimplicialCholesky::compute</a></div><div class="ttdeci">SimplicialCholesky & compute(const MatrixType &matrix)</div><div class="ttdef"><b>Definition:</b> SimplicialCholesky.h:521</div></div>
<div class="ttc" id="classEigen_1_1PermutationBase_html_a76f5bc8a03ec105ab4be1f2b91b7b5d5"><div class="ttname"><a href="classEigen_1_1PermutationBase.html#a76f5bc8a03ec105ab4be1f2b91b7b5d5">Eigen::PermutationBase::size</a></div><div class="ttdeci">Index size() const </div><div class="ttdef"><b>Definition:</b> PermutationMatrix.h:114</div></div>
<div class="ttc" id="classEigen_1_1SparseMatrix_html_abe29bfb5f2d88cf2a50ffb577ec6f0a4"><div class="ttname"><a href="classEigen_1_1SparseMatrix.html#abe29bfb5f2d88cf2a50ffb577ec6f0a4">Eigen::SparseMatrix::nonZeros</a></div><div class="ttdeci">Index nonZeros() const </div><div class="ttdef"><b>Definition:</b> SparseMatrix.h:246</div></div>
<div class="ttc" id="classEigen_1_1SparseMatrixBase_html"><div class="ttname"><a href="classEigen_1_1SparseMatrixBase.html">Eigen::SparseMatrixBase</a></div><div class="ttdoc">Base class of any sparse matrices or sparse expressions. </div><div class="ttdef"><b>Definition:</b> SparseMatrixBase.h:26</div></div>
<div class="ttc" id="classEigen_1_1SimplicialCholesky_html"><div class="ttname"><a href="classEigen_1_1SimplicialCholesky.html">Eigen::SimplicialCholesky</a></div><div class="ttdef"><b>Definition:</b> SimplicialCholesky.h:245</div></div>
<div class="ttc" id="structEigen_1_1EigenBase_html_aa84222add803ad7c9db07dd4dd91d5d9"><div class="ttname"><a href="structEigen_1_1EigenBase.html#aa84222add803ad7c9db07dd4dd91d5d9">Eigen::EigenBase::derived</a></div><div class="ttdeci">Derived & derived()</div><div class="ttdef"><b>Definition:</b> EigenBase.h:34</div></div>
<div class="ttc" id="classEigen_1_1SimplicialCholeskyBase_html"><div class="ttname"><a href="classEigen_1_1SimplicialCholeskyBase.html">Eigen::SimplicialCholeskyBase</a></div><div class="ttdoc">A direct sparse Cholesky factorizations. </div><div class="ttdef"><b>Definition:</b> SimplicialCholesky.h:36</div></div>
<div class="ttc" id="classEigen_1_1SimplicialLLT_html_aa45af9cb61ffb74e1b6cbde39f641166"><div class="ttname"><a href="classEigen_1_1SimplicialLLT.html#aa45af9cb61ffb74e1b6cbde39f641166">Eigen::SimplicialLLT::factorize</a></div><div class="ttdeci">void factorize(const MatrixType &a)</div><div class="ttdef"><b>Definition:</b> SimplicialCholesky.h:358</div></div>
<div class="ttc" id="classEigen_1_1SimplicialLLT_html_a490989fca7fc80282cb7fa18836be1a0"><div class="ttname"><a href="classEigen_1_1SimplicialLLT.html#a490989fca7fc80282cb7fa18836be1a0">Eigen::SimplicialLLT::matrixU</a></div><div class="ttdeci">const MatrixU matrixU() const </div><div class="ttdef"><b>Definition:</b> SimplicialCholesky.h:329</div></div>
<div class="ttc" id="classEigen_1_1SimplicialLDLT_html_aa45af9cb61ffb74e1b6cbde39f641166"><div class="ttname"><a href="classEigen_1_1SimplicialLDLT.html#aa45af9cb61ffb74e1b6cbde39f641166">Eigen::SimplicialLDLT::factorize</a></div><div class="ttdeci">void factorize(const MatrixType &a)</div><div class="ttdef"><b>Definition:</b> SimplicialCholesky.h:452</div></div>
<div class="ttc" id="classEigen_1_1SimplicialCholeskyBase_html_abe2318376d9cb41fa612b793035da397"><div class="ttname"><a href="classEigen_1_1SimplicialCholeskyBase.html#abe2318376d9cb41fa612b793035da397">Eigen::SimplicialCholeskyBase::solve</a></div><div class="ttdeci">const internal::sparse_solve_retval< SimplicialCholeskyBase, Rhs > solve(const SparseMatrixBase< Rhs > &b) const </div><div class="ttdef"><b>Definition:</b> SimplicialCholesky.h:101</div></div>
<div class="ttc" id="classEigen_1_1SimplicialLDLT_html_a490989fca7fc80282cb7fa18836be1a0"><div class="ttname"><a href="classEigen_1_1SimplicialLDLT.html#a490989fca7fc80282cb7fa18836be1a0">Eigen::SimplicialLDLT::matrixU</a></div><div class="ttdeci">const MatrixU matrixU() const </div><div class="ttdef"><b>Definition:</b> SimplicialCholesky.h:423</div></div>
<div class="ttc" id="classEigen_1_1SimplicialCholeskyBase_html_aceffb826f00a940b157dfea0dc6968a7"><div class="ttname"><a href="classEigen_1_1SimplicialCholeskyBase.html#aceffb826f00a940b157dfea0dc6968a7">Eigen::SimplicialCholeskyBase::permutationPinv</a></div><div class="ttdeci">const PermutationMatrix< Dynamic, Dynamic, Index > & permutationPinv() const </div><div class="ttdef"><b>Definition:</b> SimplicialCholesky.h:116</div></div>
<div class="ttc" id="classEigen_1_1SimplicialLDLT_html_a2adabb7d22f4ca60b8cc82b3c5db33ca"><div class="ttname"><a href="classEigen_1_1SimplicialLDLT.html#a2adabb7d22f4ca60b8cc82b3c5db33ca">Eigen::SimplicialLDLT::analyzePattern</a></div><div class="ttdeci">void analyzePattern(const MatrixType &a)</div><div class="ttdef"><b>Definition:</b> SimplicialCholesky.h:441</div></div>
<div class="ttc" id="structEigen_1_1SimplicialCholeskyBase_1_1keep__diag_html"><div class="ttname"><a href="structEigen_1_1SimplicialCholeskyBase_1_1keep__diag.html">Eigen::SimplicialCholeskyBase::keep_diag</a></div><div class="ttdef"><b>Definition:</b> SimplicialCholesky.h:220</div></div>
<div class="ttc" id="classEigen_1_1SimplicialCholeskyBase_html_a2eb06df831ecd66f56995e4bdee0308f"><div class="ttname"><a href="classEigen_1_1SimplicialCholeskyBase.html#a2eb06df831ecd66f56995e4bdee0308f">Eigen::SimplicialCholeskyBase::solve</a></div><div class="ttdeci">const internal::solve_retval< SimplicialCholeskyBase, Rhs > solve(const MatrixBase< Rhs > &b) const </div><div class="ttdef"><b>Definition:</b> SimplicialCholesky.h:87</div></div>
<div class="ttc" id="classEigen_1_1SimplicialLDLT_html_a5b7276a9389ddc98eef275de0767839c"><div class="ttname"><a href="classEigen_1_1SimplicialLDLT.html#a5b7276a9389ddc98eef275de0767839c">Eigen::SimplicialLDLT::determinant</a></div><div class="ttdeci">Scalar determinant() const </div><div class="ttdef"><b>Definition:</b> SimplicialCholesky.h:458</div></div>
<div class="ttc" id="classEigen_1_1SimplicialCholeskyBase_html_a0c06d5c2034ebb329c54235369643ad2"><div class="ttname"><a href="classEigen_1_1SimplicialCholeskyBase.html#a0c06d5c2034ebb329c54235369643ad2">Eigen::SimplicialCholeskyBase::info</a></div><div class="ttdeci">ComputationInfo info() const </div><div class="ttdoc">Reports whether previous computation was successful. </div><div class="ttdef"><b>Definition:</b> SimplicialCholesky.h:75</div></div>
<div class="ttc" id="group__enums_html_gga51bc1ac16f26ebe51eae1abb77bd037bafdfbdf3247bd36a1f17270d5cec74c9c"><div class="ttname"><a href="group__enums.html#gga51bc1ac16f26ebe51eae1abb77bd037bafdfbdf3247bd36a1f17270d5cec74c9c">Eigen::Success</a></div><div class="ttdef"><b>Definition:</b> Constants.h:376</div></div>
<div class="ttc" id="classEigen_1_1SimplicialCholeskyBase_html_acc1ae1a60943b6cad18724f348f75a70"><div class="ttname"><a href="classEigen_1_1SimplicialCholeskyBase.html#acc1ae1a60943b6cad18724f348f75a70">Eigen::SimplicialCholeskyBase::compute</a></div><div class="ttdeci">void compute(const MatrixType &matrix)</div><div class="ttdef"><b>Definition:</b> SimplicialCholesky.h:184</div></div>
<div class="ttc" id="classEigen_1_1SimplicialLDLT_html_aac34342019296787e9e121b8643bd8fe"><div class="ttname"><a href="classEigen_1_1SimplicialLDLT.html#aac34342019296787e9e121b8643bd8fe">Eigen::SimplicialLDLT::SimplicialLDLT</a></div><div class="ttdeci">SimplicialLDLT()</div><div class="ttdef"><b>Definition:</b> SimplicialCholesky.h:405</div></div>
<div class="ttc" id="classEigen_1_1SimplicialLLT_html"><div class="ttname"><a href="classEigen_1_1SimplicialLLT.html">Eigen::SimplicialLLT</a></div><div class="ttdoc">A direct sparse LLT Cholesky factorizations. </div><div class="ttdef"><b>Definition:</b> SimplicialCholesky.h:243</div></div>
<div class="ttc" id="classEigen_1_1SimplicialLDLT_html_af251be55ba61c6501c6ea5d1aea7e8ac"><div class="ttname"><a href="classEigen_1_1SimplicialLDLT.html#af251be55ba61c6501c6ea5d1aea7e8ac">Eigen::SimplicialLDLT::vectorD</a></div><div class="ttdeci">const VectorType vectorD() const </div><div class="ttdef"><b>Definition:</b> SimplicialCholesky.h:412</div></div>
<div class="ttc" id="classEigen_1_1Matrix_html"><div class="ttname"><a href="classEigen_1_1Matrix.html">Eigen::Matrix< Scalar, Dynamic, 1 ></a></div></div>
<div class="ttc" id="classEigen_1_1SimplicialLDLT_html_a7fbf104f2061ca8a0354e31b467c75a7"><div class="ttname"><a href="classEigen_1_1SimplicialLDLT.html#a7fbf104f2061ca8a0354e31b467c75a7">Eigen::SimplicialLDLT::matrixL</a></div><div class="ttdeci">const MatrixL matrixL() const </div><div class="ttdef"><b>Definition:</b> SimplicialCholesky.h:417</div></div>
<div class="ttc" id="classEigen_1_1SparseMatrixBase_html_a5552abd83dbd03c85cea6d61fd8875a5"><div class="ttname"><a href="classEigen_1_1SparseMatrixBase.html#a5552abd83dbd03c85cea6d61fd8875a5">Eigen::SparseMatrixBase::rows</a></div><div class="ttdeci">Index rows() const </div><div class="ttdef"><b>Definition:</b> SparseMatrixBase.h:150</div></div>
<div class="ttc" id="classEigen_1_1SimplicialLLT_html_a70ff3f219435bbcd1afba081a65a251c"><div class="ttname"><a href="classEigen_1_1SimplicialLLT.html#a70ff3f219435bbcd1afba081a65a251c">Eigen::SimplicialLLT::compute</a></div><div class="ttdeci">SimplicialLLT & compute(const MatrixType &matrix)</div><div class="ttdef"><b>Definition:</b> SimplicialCholesky.h:335</div></div>
<div class="ttc" id="classEigen_1_1SimplicialCholeskyBase_html_a8d3b7001a709a7349c45281e078747c7"><div class="ttname"><a href="classEigen_1_1SimplicialCholeskyBase.html#a8d3b7001a709a7349c45281e078747c7">Eigen::SimplicialCholeskyBase::SimplicialCholeskyBase</a></div><div class="ttdeci">SimplicialCholeskyBase()</div><div class="ttdef"><b>Definition:</b> SimplicialCholesky.h:50</div></div>
<div class="ttc" id="classEigen_1_1SimplicialLLT_html_ad0be567ad2ffb773ab672be87fb6f71e"><div class="ttname"><a href="classEigen_1_1SimplicialLLT.html#ad0be567ad2ffb773ab672be87fb6f71e">Eigen::SimplicialLLT::SimplicialLLT</a></div><div class="ttdeci">SimplicialLLT(const MatrixType &matrix)</div><div class="ttdef"><b>Definition:</b> SimplicialCholesky.h:319</div></div>
<div class="ttc" id="group__enums_html_ga51bc1ac16f26ebe51eae1abb77bd037b"><div class="ttname"><a href="group__enums.html#ga51bc1ac16f26ebe51eae1abb77bd037b">Eigen::ComputationInfo</a></div><div class="ttdeci">ComputationInfo</div><div class="ttdef"><b>Definition:</b> Constants.h:374</div></div>
<div class="ttc" id="classEigen_1_1SimplicialCholeskyBase_html_a627368b476d29ff4dbb0813ac79ba342"><div class="ttname"><a href="classEigen_1_1SimplicialCholeskyBase.html#a627368b476d29ff4dbb0813ac79ba342">Eigen::SimplicialCholeskyBase::permutationP</a></div><div class="ttdeci">const PermutationMatrix< Dynamic, Dynamic, Index > & permutationP() const </div><div class="ttdef"><b>Definition:</b> SimplicialCholesky.h:111</div></div>
<div class="ttc" id="classEigen_1_1MatrixBase_html_adaf22d3a2069ec2c0df912cb87329e9c"><div class="ttname"><a href="classEigen_1_1MatrixBase.html#adaf22d3a2069ec2c0df912cb87329e9c">Eigen::MatrixBase::asDiagonal</a></div><div class="ttdeci">const DiagonalWrapper< const Derived > asDiagonal() const </div><div class="ttdef"><b>Definition:</b> DiagonalMatrix.h:278</div></div>
<div class="ttc" id="classEigen_1_1MatrixBase_html"><div class="ttname"><a href="classEigen_1_1MatrixBase.html">Eigen::MatrixBase</a></div><div class="ttdoc">Base class for all dense matrices, vectors, and expressions. </div><div class="ttdef"><b>Definition:</b> MatrixBase.h:48</div></div>
<div class="ttc" id="classEigen_1_1SimplicialLLT_html_a5b7276a9389ddc98eef275de0767839c"><div class="ttname"><a href="classEigen_1_1SimplicialLLT.html#a5b7276a9389ddc98eef275de0767839c">Eigen::SimplicialLLT::determinant</a></div><div class="ttdeci">Scalar determinant() const </div><div class="ttdef"><b>Definition:</b> SimplicialCholesky.h:364</div></div>
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