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<div class="title">HouseholderSequence.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) 2009 Gael Guennebaud <gael.guennebaud@inria.fr></span></div>
<div class="line"><a name="l00005"></a><span class="lineno"> 5</span> <span class="comment">// Copyright (C) 2010 Benoit Jacob <jacob.benoit.1@gmail.com></span></div>
<div class="line"><a name="l00006"></a><span class="lineno"> 6</span> <span class="comment">//</span></div>
<div class="line"><a name="l00007"></a><span class="lineno"> 7</span> <span class="comment">// This Source Code Form is subject to the terms of the Mozilla</span></div>
<div class="line"><a name="l00008"></a><span class="lineno"> 8</span> <span class="comment">// Public License v. 2.0. If a copy of the MPL was not distributed</span></div>
<div class="line"><a name="l00009"></a><span class="lineno"> 9</span> <span class="comment">// with this file, You can obtain one at http://mozilla.org/MPL/2.0/.</span></div>
<div class="line"><a name="l00010"></a><span class="lineno"> 10</span> </div>
<div class="line"><a name="l00011"></a><span class="lineno"> 11</span> <span class="preprocessor">#ifndef EIGEN_HOUSEHOLDER_SEQUENCE_H</span></div>
<div class="line"><a name="l00012"></a><span class="lineno"> 12</span> <span class="preprocessor"></span><span class="preprocessor">#define EIGEN_HOUSEHOLDER_SEQUENCE_H</span></div>
<div class="line"><a name="l00013"></a><span class="lineno"> 13</span> <span class="preprocessor"></span></div>
<div class="line"><a name="l00014"></a><span class="lineno"> 14</span> <span class="keyword">namespace </span>Eigen { </div>
<div class="line"><a name="l00015"></a><span class="lineno"> 15</span> </div>
<div class="line"><a name="l00057"></a><span class="lineno"> 57</span> <span class="keyword">namespace </span>internal {</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> <span class="keyword">template</span><<span class="keyword">typename</span> VectorsType, <span class="keyword">typename</span> CoeffsType, <span class="keywordtype">int</span> S<span class="keywordtype">id</span>e></div>
<div class="line"><a name="l00060"></a><span class="lineno"> 60</span> <span class="keyword">struct </span>traits<HouseholderSequence<VectorsType,CoeffsType,Side> ></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>  <span class="keyword">typedef</span> <span class="keyword">typename</span> VectorsType::Scalar Scalar;</div>
<div class="line"><a name="l00063"></a><span class="lineno"> 63</span>  <span class="keyword">typedef</span> <span class="keyword">typename</span> VectorsType::Index Index;</div>
<div class="line"><a name="l00064"></a><span class="lineno"> 64</span>  <span class="keyword">typedef</span> <span class="keyword">typename</span> VectorsType::StorageKind StorageKind;</div>
<div class="line"><a name="l00065"></a><span class="lineno"> 65</span>  <span class="keyword">enum</span> {</div>
<div class="line"><a name="l00066"></a><span class="lineno"> 66</span>  RowsAtCompileTime = Side==<a class="code" href="group__enums.html#gga3f4a95405348aa63ef907e692901011fa02217d2d79111440646e3b00c747745f">OnTheLeft</a> ? traits<VectorsType>::RowsAtCompileTime</div>
<div class="line"><a name="l00067"></a><span class="lineno"> 67</span>  : traits<VectorsType>::ColsAtCompileTime,</div>
<div class="line"><a name="l00068"></a><span class="lineno"> 68</span>  ColsAtCompileTime = RowsAtCompileTime,</div>
<div class="line"><a name="l00069"></a><span class="lineno"> 69</span>  MaxRowsAtCompileTime = Side==<a class="code" href="group__enums.html#gga3f4a95405348aa63ef907e692901011fa02217d2d79111440646e3b00c747745f">OnTheLeft</a> ? traits<VectorsType>::MaxRowsAtCompileTime</div>
<div class="line"><a name="l00070"></a><span class="lineno"> 70</span>  : traits<VectorsType>::MaxColsAtCompileTime,</div>
<div class="line"><a name="l00071"></a><span class="lineno"> 71</span>  MaxColsAtCompileTime = MaxRowsAtCompileTime,</div>
<div class="line"><a name="l00072"></a><span class="lineno"> 72</span>  Flags = 0</div>
<div class="line"><a name="l00073"></a><span class="lineno"> 73</span>  };</div>
<div class="line"><a name="l00074"></a><span class="lineno"> 74</span> };</div>
<div class="line"><a name="l00075"></a><span class="lineno"> 75</span> </div>
<div class="line"><a name="l00076"></a><span class="lineno"> 76</span> <span class="keyword">template</span><<span class="keyword">typename</span> VectorsType, <span class="keyword">typename</span> CoeffsType, <span class="keywordtype">int</span> S<span class="keywordtype">id</span>e></div>
<div class="line"><a name="l00077"></a><span class="lineno"> 77</span> <span class="keyword">struct </span>hseq_side_dependent_impl</div>
<div class="line"><a name="l00078"></a><span class="lineno"> 78</span> {</div>
<div class="line"><a name="l00079"></a><span class="lineno"> 79</span>  <span class="keyword">typedef</span> Block<const VectorsType, Dynamic, 1> EssentialVectorType;</div>
<div class="line"><a name="l00080"></a><span class="lineno"> 80</span>  <span class="keyword">typedef</span> HouseholderSequence<VectorsType, CoeffsType, OnTheLeft> HouseholderSequenceType;</div>
<div class="line"><a name="l00081"></a><span class="lineno"> 81</span>  <span class="keyword">typedef</span> <span class="keyword">typename</span> VectorsType::Index Index;</div>
<div class="line"><a name="l00082"></a><span class="lineno"> 82</span>  <span class="keyword">static</span> <span class="keyword">inline</span> <span class="keyword">const</span> EssentialVectorType essentialVector(<span class="keyword">const</span> HouseholderSequenceType& h, Index k)</div>
<div class="line"><a name="l00083"></a><span class="lineno"> 83</span>  {</div>
<div class="line"><a name="l00084"></a><span class="lineno"> 84</span>  Index start = k+1+h.m_shift;</div>
<div class="line"><a name="l00085"></a><span class="lineno"> 85</span>  <span class="keywordflow">return</span> Block<const VectorsType,Dynamic,1>(h.m_vectors, start, k, h.rows()-start, 1);</div>
<div class="line"><a name="l00086"></a><span class="lineno"> 86</span>  }</div>
<div class="line"><a name="l00087"></a><span class="lineno"> 87</span> };</div>
<div class="line"><a name="l00088"></a><span class="lineno"> 88</span> </div>
<div class="line"><a name="l00089"></a><span class="lineno"> 89</span> <span class="keyword">template</span><<span class="keyword">typename</span> VectorsType, <span class="keyword">typename</span> CoeffsType></div>
<div class="line"><a name="l00090"></a><span class="lineno"> 90</span> <span class="keyword">struct </span>hseq_side_dependent_impl<VectorsType, CoeffsType, <a class="code" href="group__enums.html#gga3f4a95405348aa63ef907e692901011faeda0d7b1859ec757de18ee3b7c6c541c">OnTheRight</a>></div>
<div class="line"><a name="l00091"></a><span class="lineno"> 91</span> {</div>
<div class="line"><a name="l00092"></a><span class="lineno"> 92</span>  <span class="keyword">typedef</span> Transpose<Block<const VectorsType, 1, Dynamic> > EssentialVectorType;</div>
<div class="line"><a name="l00093"></a><span class="lineno"> 93</span>  <span class="keyword">typedef</span> HouseholderSequence<VectorsType, CoeffsType, OnTheRight> HouseholderSequenceType;</div>
<div class="line"><a name="l00094"></a><span class="lineno"> 94</span>  <span class="keyword">typedef</span> <span class="keyword">typename</span> VectorsType::Index Index;</div>
<div class="line"><a name="l00095"></a><span class="lineno"> 95</span>  <span class="keyword">static</span> <span class="keyword">inline</span> <span class="keyword">const</span> EssentialVectorType essentialVector(<span class="keyword">const</span> HouseholderSequenceType& h, Index k)</div>
<div class="line"><a name="l00096"></a><span class="lineno"> 96</span>  {</div>
<div class="line"><a name="l00097"></a><span class="lineno"> 97</span>  Index start = k+1+h.m_shift;</div>
<div class="line"><a name="l00098"></a><span class="lineno"> 98</span>  <span class="keywordflow">return</span> Block<const VectorsType,1,Dynamic>(h.m_vectors, k, start, 1, h.rows()-start).transpose();</div>
<div class="line"><a name="l00099"></a><span class="lineno"> 99</span>  }</div>
<div class="line"><a name="l00100"></a><span class="lineno"> 100</span> };</div>
<div class="line"><a name="l00101"></a><span class="lineno"> 101</span> </div>
<div class="line"><a name="l00102"></a><span class="lineno"> 102</span> <span class="keyword">template</span><<span class="keyword">typename</span> OtherScalarType, <span class="keyword">typename</span> MatrixType> <span class="keyword">struct </span>matrix_type_times_scalar_type</div>
<div class="line"><a name="l00103"></a><span class="lineno"> 103</span> {</div>
<div class="line"><a name="l00104"></a><span class="lineno"> 104</span>  <span class="keyword">typedef</span> <span class="keyword">typename</span> scalar_product_traits<OtherScalarType, typename MatrixType::Scalar>::ReturnType</div>
<div class="line"><a name="l00105"></a><span class="lineno"> 105</span>  ResultScalar;</div>
<div class="line"><a name="l00106"></a><span class="lineno"> 106</span>  <span class="keyword">typedef</span> Matrix<ResultScalar, MatrixType::RowsAtCompileTime, MatrixType::ColsAtCompileTime,</div>
<div class="line"><a name="l00107"></a><span class="lineno"> 107</span>  0, MatrixType::MaxRowsAtCompileTime, MatrixType::MaxColsAtCompileTime> Type;</div>
<div class="line"><a name="l00108"></a><span class="lineno"> 108</span> };</div>
<div class="line"><a name="l00109"></a><span class="lineno"> 109</span> </div>
<div class="line"><a name="l00110"></a><span class="lineno"> 110</span> } <span class="comment">// end namespace internal</span></div>
<div class="line"><a name="l00111"></a><span class="lineno"> 111</span> </div>
<div class="line"><a name="l00112"></a><span class="lineno"> 112</span> <span class="keyword">template</span><<span class="keyword">typename</span> VectorsType, <span class="keyword">typename</span> CoeffsType, <span class="keywordtype">int</span> S<span class="keywordtype">id</span>e> <span class="keyword">class </span>HouseholderSequence</div>
<div class="line"><a name="l00113"></a><span class="lineno"> 113</span>  : <span class="keyword">public</span> EigenBase<HouseholderSequence<VectorsType,CoeffsType,Side> ></div>
<div class="line"><a name="l00114"></a><span class="lineno"> 114</span> {</div>
<div class="line"><a name="l00115"></a><span class="lineno"> 115</span>  <span class="keyword">typedef</span> <span class="keyword">typename</span> internal::hseq_side_dependent_impl<VectorsType,CoeffsType,Side>::EssentialVectorType EssentialVectorType;</div>
<div class="line"><a name="l00116"></a><span class="lineno"> 116</span>  </div>
<div class="line"><a name="l00117"></a><span class="lineno"> 117</span>  <span class="keyword">public</span>:</div>
<div class="line"><a name="l00118"></a><span class="lineno"> 118</span>  <span class="keyword">enum</span> {</div>
<div class="line"><a name="l00119"></a><span class="lineno"> 119</span>  RowsAtCompileTime = internal::traits<HouseholderSequence>::RowsAtCompileTime,</div>
<div class="line"><a name="l00120"></a><span class="lineno"> 120</span>  ColsAtCompileTime = internal::traits<HouseholderSequence>::ColsAtCompileTime,</div>
<div class="line"><a name="l00121"></a><span class="lineno"> 121</span>  MaxRowsAtCompileTime = internal::traits<HouseholderSequence>::MaxRowsAtCompileTime,</div>
<div class="line"><a name="l00122"></a><span class="lineno"> 122</span>  MaxColsAtCompileTime = internal::traits<HouseholderSequence>::MaxColsAtCompileTime</div>
<div class="line"><a name="l00123"></a><span class="lineno"> 123</span>  };</div>
<div class="line"><a name="l00124"></a><span class="lineno"> 124</span>  <span class="keyword">typedef</span> <span class="keyword">typename</span> internal::traits<HouseholderSequence>::Scalar Scalar;</div>
<div class="line"><a name="l00125"></a><span class="lineno"> 125</span>  <span class="keyword">typedef</span> <span class="keyword">typename</span> VectorsType::Index Index;</div>
<div class="line"><a name="l00126"></a><span class="lineno"> 126</span> </div>
<div class="line"><a name="l00127"></a><span class="lineno"> 127</span>  <span class="keyword">typedef</span> <a class="code" href="classEigen_1_1HouseholderSequence.html#a3202eb0eaf16ad05ef90ca741bbf1cbc">HouseholderSequence</a><</div>
<div class="line"><a name="l00128"></a><span class="lineno"> 128</span>  <span class="keyword">typename</span> internal::conditional<NumTraits<Scalar>::IsComplex,</div>
<div class="line"><a name="l00129"></a><span class="lineno"> 129</span>  <span class="keyword">typename</span> internal::remove_all<typename VectorsType::ConjugateReturnType>::type,</div>
<div class="line"><a name="l00130"></a><span class="lineno"> 130</span>  VectorsType>::type,</div>
<div class="line"><a name="l00131"></a><span class="lineno"> 131</span>  <span class="keyword">typename</span> internal::conditional<NumTraits<Scalar>::IsComplex,</div>
<div class="line"><a name="l00132"></a><span class="lineno"> 132</span>  <span class="keyword">typename</span> internal::remove_all<typename CoeffsType::ConjugateReturnType>::type,</div>
<div class="line"><a name="l00133"></a><span class="lineno"> 133</span>  CoeffsType>::type,</div>
<div class="line"><a name="l00134"></a><span class="lineno"> 134</span>  Side</div>
<div class="line"><a name="l00135"></a><span class="lineno"> 135</span>  > ConjugateReturnType;</div>
<div class="line"><a name="l00136"></a><span class="lineno"> 136</span> </div>
<div class="line"><a name="l00154"></a><span class="lineno"><a class="line" href="classEigen_1_1HouseholderSequence.html#a3202eb0eaf16ad05ef90ca741bbf1cbc"> 154</a></span>  <a class="code" href="classEigen_1_1HouseholderSequence.html#a3202eb0eaf16ad05ef90ca741bbf1cbc">HouseholderSequence</a>(<span class="keyword">const</span> VectorsType& v, <span class="keyword">const</span> CoeffsType& h)</div>
<div class="line"><a name="l00155"></a><span class="lineno"> 155</span>  : m_vectors(v), m_coeffs(h), m_trans(false), m_length(v.diagonalSize()),</div>
<div class="line"><a name="l00156"></a><span class="lineno"> 156</span>  m_shift(0)</div>
<div class="line"><a name="l00157"></a><span class="lineno"> 157</span>  {</div>
<div class="line"><a name="l00158"></a><span class="lineno"> 158</span>  }</div>
<div class="line"><a name="l00159"></a><span class="lineno"> 159</span> </div>
<div class="line"><a name="l00161"></a><span class="lineno"><a class="line" href="classEigen_1_1HouseholderSequence.html#a17449d69230251d4fdcf3e43a1b3ddda"> 161</a></span>  <a class="code" href="classEigen_1_1HouseholderSequence.html#a17449d69230251d4fdcf3e43a1b3ddda">HouseholderSequence</a>(<span class="keyword">const</span> <a class="code" href="classEigen_1_1HouseholderSequence.html">HouseholderSequence</a>& other)</div>
<div class="line"><a name="l00162"></a><span class="lineno"> 162</span>  : m_vectors(other.m_vectors),</div>
<div class="line"><a name="l00163"></a><span class="lineno"> 163</span>  m_coeffs(other.m_coeffs),</div>
<div class="line"><a name="l00164"></a><span class="lineno"> 164</span>  m_trans(other.m_trans),</div>
<div class="line"><a name="l00165"></a><span class="lineno"> 165</span>  m_length(other.m_length),</div>
<div class="line"><a name="l00166"></a><span class="lineno"> 166</span>  m_shift(other.m_shift)</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>  }</div>
<div class="line"><a name="l00169"></a><span class="lineno"> 169</span> </div>
<div class="line"><a name="l00174"></a><span class="lineno"><a class="line" href="classEigen_1_1HouseholderSequence.html#a5552abd83dbd03c85cea6d61fd8875a5"> 174</a></span>  Index <a class="code" href="classEigen_1_1HouseholderSequence.html#a5552abd83dbd03c85cea6d61fd8875a5">rows</a>()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> Side==<a class="code" href="group__enums.html#gga3f4a95405348aa63ef907e692901011fa02217d2d79111440646e3b00c747745f">OnTheLeft</a> ? m_vectors.rows() : m_vectors.cols(); }</div>
<div class="line"><a name="l00175"></a><span class="lineno"> 175</span> </div>
<div class="line"><a name="l00180"></a><span class="lineno"><a class="line" href="classEigen_1_1HouseholderSequence.html#aaca1908a5ec508a25ff0a8bca803e5f3"> 180</a></span>  Index <a class="code" href="classEigen_1_1HouseholderSequence.html#aaca1908a5ec508a25ff0a8bca803e5f3">cols</a>()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> <a class="code" href="classEigen_1_1HouseholderSequence.html#a5552abd83dbd03c85cea6d61fd8875a5">rows</a>(); }</div>
<div class="line"><a name="l00181"></a><span class="lineno"> 181</span> </div>
<div class="line"><a name="l00196"></a><span class="lineno"><a class="line" href="classEigen_1_1HouseholderSequence.html#aaeaaa79416e82ffed90e36543cc1f564"> 196</a></span>  <span class="keyword">const</span> <a class="code" href="classEigen_1_1Block.html">EssentialVectorType</a> <a class="code" href="classEigen_1_1HouseholderSequence.html#aaeaaa79416e82ffed90e36543cc1f564">essentialVector</a>(Index k)<span class="keyword"> const</span></div>
<div class="line"><a name="l00197"></a><span class="lineno"> 197</span> <span class="keyword"> </span>{</div>
<div class="line"><a name="l00198"></a><span class="lineno"> 198</span>  eigen_assert(k >= 0 && k < m_length);</div>
<div class="line"><a name="l00199"></a><span class="lineno"> 199</span>  <span class="keywordflow">return</span> internal::hseq_side_dependent_impl<VectorsType,CoeffsType,Side>::essentialVector(*<span class="keyword">this</span>, k);</div>
<div class="line"><a name="l00200"></a><span class="lineno"> 200</span>  }</div>
<div class="line"><a name="l00201"></a><span class="lineno"> 201</span> </div>
<div class="line"><a name="l00203"></a><span class="lineno"><a class="line" href="classEigen_1_1HouseholderSequence.html#a675ccc58e030cd6a2f43864257737ea0"> 203</a></span>  <a class="code" href="classEigen_1_1HouseholderSequence.html">HouseholderSequence</a> <a class="code" href="classEigen_1_1HouseholderSequence.html#a675ccc58e030cd6a2f43864257737ea0">transpose</a>()<span class="keyword"> const</span></div>
<div class="line"><a name="l00204"></a><span class="lineno"> 204</span> <span class="keyword"> </span>{</div>
<div class="line"><a name="l00205"></a><span class="lineno"> 205</span>  <span class="keywordflow">return</span> <a class="code" href="classEigen_1_1HouseholderSequence.html">HouseholderSequence</a>(*this).<a class="code" href="classEigen_1_1HouseholderSequence.html#a10457dacb3949bc6dd5001878641819e">setTrans</a>(!m_trans);</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> </div>
<div class="line"><a name="l00209"></a><span class="lineno"><a class="line" href="classEigen_1_1HouseholderSequence.html#aab6c2241712d7faf07019a0d86d3fb79"> 209</a></span>  <a class="code" href="classEigen_1_1HouseholderSequence.html">ConjugateReturnType</a> <a class="code" href="classEigen_1_1HouseholderSequence.html#aab6c2241712d7faf07019a0d86d3fb79">conjugate</a>()<span class="keyword"> const</span></div>
<div class="line"><a name="l00210"></a><span class="lineno"> 210</span> <span class="keyword"> </span>{</div>
<div class="line"><a name="l00211"></a><span class="lineno"> 211</span>  <span class="keywordflow">return</span> <a class="code" href="classEigen_1_1HouseholderSequence.html">ConjugateReturnType</a>(m_vectors.conjugate(), m_coeffs.conjugate())</div>
<div class="line"><a name="l00212"></a><span class="lineno"> 212</span>  .<a class="code" href="classEigen_1_1HouseholderSequence.html#a10457dacb3949bc6dd5001878641819e">setTrans</a>(m_trans)</div>
<div class="line"><a name="l00213"></a><span class="lineno"> 213</span>  .<a class="code" href="classEigen_1_1HouseholderSequence.html#a11ea4599a61fff6b27734e4dc31f2701">setLength</a>(m_length)</div>
<div class="line"><a name="l00214"></a><span class="lineno"> 214</span>  .<a class="code" href="classEigen_1_1HouseholderSequence.html#af60a8214544812a06d520bd6605c539b">setShift</a>(m_shift);</div>
<div class="line"><a name="l00215"></a><span class="lineno"> 215</span>  }</div>
<div class="line"><a name="l00216"></a><span class="lineno"> 216</span> </div>
<div class="line"><a name="l00218"></a><span class="lineno"><a class="line" href="classEigen_1_1HouseholderSequence.html#a5dc0922b29ae5e2a867cff75cbf7ac1a"> 218</a></span>  <a class="code" href="classEigen_1_1HouseholderSequence.html">ConjugateReturnType</a> <a class="code" href="classEigen_1_1HouseholderSequence.html#a5dc0922b29ae5e2a867cff75cbf7ac1a">adjoint</a>()<span class="keyword"> const</span></div>
<div class="line"><a name="l00219"></a><span class="lineno"> 219</span> <span class="keyword"> </span>{</div>
<div class="line"><a name="l00220"></a><span class="lineno"> 220</span>  <span class="keywordflow">return</span> <a class="code" href="classEigen_1_1HouseholderSequence.html#aab6c2241712d7faf07019a0d86d3fb79">conjugate</a>().<a class="code" href="classEigen_1_1HouseholderSequence.html#a10457dacb3949bc6dd5001878641819e">setTrans</a>(!m_trans);</div>
<div class="line"><a name="l00221"></a><span class="lineno"> 221</span>  }</div>
<div class="line"><a name="l00222"></a><span class="lineno"> 222</span> </div>
<div class="line"><a name="l00224"></a><span class="lineno"><a class="line" href="classEigen_1_1HouseholderSequence.html#ad13f4e783d2a24b55b5280e0a9096df1"> 224</a></span>  <a class="code" href="classEigen_1_1HouseholderSequence.html">ConjugateReturnType</a> <a class="code" href="classEigen_1_1HouseholderSequence.html#ad13f4e783d2a24b55b5280e0a9096df1">inverse</a>()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> <a class="code" href="classEigen_1_1HouseholderSequence.html#a5dc0922b29ae5e2a867cff75cbf7ac1a">adjoint</a>(); }</div>
<div class="line"><a name="l00225"></a><span class="lineno"> 225</span> </div>
<div class="line"><a name="l00227"></a><span class="lineno"> 227</span>  <span class="keyword">template</span><<span class="keyword">typename</span> DestType> <span class="keyword">inline</span> <span class="keywordtype">void</span> evalTo(DestType& dst)<span class="keyword"> const</span></div>
<div class="line"><a name="l00228"></a><span class="lineno"> 228</span> <span class="keyword"> </span>{</div>
<div class="line"><a name="l00229"></a><span class="lineno"> 229</span>  <a class="code" href="classEigen_1_1Matrix.html">Matrix</a><Scalar, DestType::RowsAtCompileTime, 1,</div>
<div class="line"><a name="l00230"></a><span class="lineno"> 230</span>  <a class="code" href="group__enums.html#gga0c5bde183ecefe103f70b49ad9740bcda02a97bb4792f98916a1156a521fa9813">AutoAlign</a>|<a class="code" href="group__enums.html#gga0c5bde183ecefe103f70b49ad9740bcdac86184b0e3be936fbfd20249a057a0bf">ColMajor</a>, DestType::MaxRowsAtCompileTime, 1> workspace(<a class="code" href="classEigen_1_1HouseholderSequence.html#a5552abd83dbd03c85cea6d61fd8875a5">rows</a>());</div>
<div class="line"><a name="l00231"></a><span class="lineno"> 231</span>  evalTo(dst, workspace);</div>
<div class="line"><a name="l00232"></a><span class="lineno"> 232</span>  }</div>
<div class="line"><a name="l00233"></a><span class="lineno"> 233</span> </div>
<div class="line"><a name="l00235"></a><span class="lineno"> 235</span>  <span class="keyword">template</span><<span class="keyword">typename</span> Dest, <span class="keyword">typename</span> Workspace></div>
<div class="line"><a name="l00236"></a><span class="lineno"> 236</span>  <span class="keywordtype">void</span> evalTo(Dest& dst, Workspace& workspace)<span class="keyword"> const</span></div>
<div class="line"><a name="l00237"></a><span class="lineno"> 237</span> <span class="keyword"> </span>{</div>
<div class="line"><a name="l00238"></a><span class="lineno"> 238</span>  workspace.resize(<a class="code" href="classEigen_1_1HouseholderSequence.html#a5552abd83dbd03c85cea6d61fd8875a5">rows</a>());</div>
<div class="line"><a name="l00239"></a><span class="lineno"> 239</span>  Index vecs = m_length;</div>
<div class="line"><a name="l00240"></a><span class="lineno"> 240</span>  <span class="keywordflow">if</span>( internal::is_same<<span class="keyword">typename</span> internal::remove_all<VectorsType>::type,Dest>::value</div>
<div class="line"><a name="l00241"></a><span class="lineno"> 241</span>  && internal::extract_data(dst) == internal::extract_data(m_vectors))</div>
<div class="line"><a name="l00242"></a><span class="lineno"> 242</span>  {</div>
<div class="line"><a name="l00243"></a><span class="lineno"> 243</span>  <span class="comment">// in-place</span></div>
<div class="line"><a name="l00244"></a><span class="lineno"> 244</span>  dst.diagonal().setOnes();</div>
<div class="line"><a name="l00245"></a><span class="lineno"> 245</span>  dst.template triangularView<StrictlyUpper>().setZero();</div>
<div class="line"><a name="l00246"></a><span class="lineno"> 246</span>  <span class="keywordflow">for</span>(Index k = vecs-1; k >= 0; --k)</div>
<div class="line"><a name="l00247"></a><span class="lineno"> 247</span>  {</div>
<div class="line"><a name="l00248"></a><span class="lineno"> 248</span>  Index cornerSize = <a class="code" href="classEigen_1_1HouseholderSequence.html#a5552abd83dbd03c85cea6d61fd8875a5">rows</a>() - k - m_shift;</div>
<div class="line"><a name="l00249"></a><span class="lineno"> 249</span>  <span class="keywordflow">if</span>(m_trans)</div>
<div class="line"><a name="l00250"></a><span class="lineno"> 250</span>  dst.bottomRightCorner(cornerSize, cornerSize)</div>
<div class="line"><a name="l00251"></a><span class="lineno"> 251</span>  .applyHouseholderOnTheRight(<a class="code" href="classEigen_1_1HouseholderSequence.html#aaeaaa79416e82ffed90e36543cc1f564">essentialVector</a>(k), m_coeffs.coeff(k), workspace.data());</div>
<div class="line"><a name="l00252"></a><span class="lineno"> 252</span>  <span class="keywordflow">else</span></div>
<div class="line"><a name="l00253"></a><span class="lineno"> 253</span>  dst.bottomRightCorner(cornerSize, cornerSize)</div>
<div class="line"><a name="l00254"></a><span class="lineno"> 254</span>  .applyHouseholderOnTheLeft(<a class="code" href="classEigen_1_1HouseholderSequence.html#aaeaaa79416e82ffed90e36543cc1f564">essentialVector</a>(k), m_coeffs.coeff(k), workspace.data());</div>
<div class="line"><a name="l00255"></a><span class="lineno"> 255</span> </div>
<div class="line"><a name="l00256"></a><span class="lineno"> 256</span>  <span class="comment">// clear the off diagonal vector</span></div>
<div class="line"><a name="l00257"></a><span class="lineno"> 257</span>  dst.col(k).tail(<a class="code" href="classEigen_1_1HouseholderSequence.html#a5552abd83dbd03c85cea6d61fd8875a5">rows</a>()-k-1).setZero();</div>
<div class="line"><a name="l00258"></a><span class="lineno"> 258</span>  }</div>
<div class="line"><a name="l00259"></a><span class="lineno"> 259</span>  <span class="comment">// clear the remaining columns if needed</span></div>
<div class="line"><a name="l00260"></a><span class="lineno"> 260</span>  <span class="keywordflow">for</span>(Index k = 0; k<<a class="code" href="classEigen_1_1HouseholderSequence.html#aaca1908a5ec508a25ff0a8bca803e5f3">cols</a>()-vecs ; ++k)</div>
<div class="line"><a name="l00261"></a><span class="lineno"> 261</span>  dst.col(k).tail(<a class="code" href="classEigen_1_1HouseholderSequence.html#a5552abd83dbd03c85cea6d61fd8875a5">rows</a>()-k-1).setZero();</div>
<div class="line"><a name="l00262"></a><span class="lineno"> 262</span>  }</div>
<div class="line"><a name="l00263"></a><span class="lineno"> 263</span>  <span class="keywordflow">else</span></div>
<div class="line"><a name="l00264"></a><span class="lineno"> 264</span>  {</div>
<div class="line"><a name="l00265"></a><span class="lineno"> 265</span>  dst.setIdentity(<a class="code" href="classEigen_1_1HouseholderSequence.html#a5552abd83dbd03c85cea6d61fd8875a5">rows</a>(), <a class="code" href="classEigen_1_1HouseholderSequence.html#a5552abd83dbd03c85cea6d61fd8875a5">rows</a>());</div>
<div class="line"><a name="l00266"></a><span class="lineno"> 266</span>  <span class="keywordflow">for</span>(Index k = vecs-1; k >= 0; --k)</div>
<div class="line"><a name="l00267"></a><span class="lineno"> 267</span>  {</div>
<div class="line"><a name="l00268"></a><span class="lineno"> 268</span>  Index cornerSize = <a class="code" href="classEigen_1_1HouseholderSequence.html#a5552abd83dbd03c85cea6d61fd8875a5">rows</a>() - k - m_shift;</div>
<div class="line"><a name="l00269"></a><span class="lineno"> 269</span>  <span class="keywordflow">if</span>(m_trans)</div>
<div class="line"><a name="l00270"></a><span class="lineno"> 270</span>  dst.bottomRightCorner(cornerSize, cornerSize)</div>
<div class="line"><a name="l00271"></a><span class="lineno"> 271</span>  .applyHouseholderOnTheRight(<a class="code" href="classEigen_1_1HouseholderSequence.html#aaeaaa79416e82ffed90e36543cc1f564">essentialVector</a>(k), m_coeffs.coeff(k), &workspace.coeffRef(0));</div>
<div class="line"><a name="l00272"></a><span class="lineno"> 272</span>  <span class="keywordflow">else</span></div>
<div class="line"><a name="l00273"></a><span class="lineno"> 273</span>  dst.bottomRightCorner(cornerSize, cornerSize)</div>
<div class="line"><a name="l00274"></a><span class="lineno"> 274</span>  .applyHouseholderOnTheLeft(<a class="code" href="classEigen_1_1HouseholderSequence.html#aaeaaa79416e82ffed90e36543cc1f564">essentialVector</a>(k), m_coeffs.coeff(k), &workspace.coeffRef(0));</div>
<div class="line"><a name="l00275"></a><span class="lineno"> 275</span>  }</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>  }</div>
<div class="line"><a name="l00278"></a><span class="lineno"> 278</span> </div>
<div class="line"><a name="l00280"></a><span class="lineno"> 280</span>  <span class="keyword">template</span><<span class="keyword">typename</span> Dest> <span class="keyword">inline</span> <span class="keywordtype">void</span> applyThisOnTheRight(Dest& dst)<span class="keyword"> const</span></div>
<div class="line"><a name="l00281"></a><span class="lineno"> 281</span> <span class="keyword"> </span>{</div>
<div class="line"><a name="l00282"></a><span class="lineno"> 282</span>  Matrix<Scalar,1,Dest::RowsAtCompileTime,RowMajor,1,Dest::MaxRowsAtCompileTime> workspace(dst.rows());</div>
<div class="line"><a name="l00283"></a><span class="lineno"> 283</span>  applyThisOnTheRight(dst, workspace);</div>
<div class="line"><a name="l00284"></a><span class="lineno"> 284</span>  }</div>
<div class="line"><a name="l00285"></a><span class="lineno"> 285</span> </div>
<div class="line"><a name="l00287"></a><span class="lineno"> 287</span>  <span class="keyword">template</span><<span class="keyword">typename</span> Dest, <span class="keyword">typename</span> Workspace></div>
<div class="line"><a name="l00288"></a><span class="lineno"> 288</span>  <span class="keyword">inline</span> <span class="keywordtype">void</span> applyThisOnTheRight(Dest& dst, Workspace& workspace)<span class="keyword"> const</span></div>
<div class="line"><a name="l00289"></a><span class="lineno"> 289</span> <span class="keyword"> </span>{</div>
<div class="line"><a name="l00290"></a><span class="lineno"> 290</span>  workspace.resize(dst.rows());</div>
<div class="line"><a name="l00291"></a><span class="lineno"> 291</span>  <span class="keywordflow">for</span>(Index k = 0; k < m_length; ++k)</div>
<div class="line"><a name="l00292"></a><span class="lineno"> 292</span>  {</div>
<div class="line"><a name="l00293"></a><span class="lineno"> 293</span>  Index actual_k = m_trans ? m_length-k-1 : k;</div>
<div class="line"><a name="l00294"></a><span class="lineno"> 294</span>  dst.rightCols(<a class="code" href="classEigen_1_1HouseholderSequence.html#a5552abd83dbd03c85cea6d61fd8875a5">rows</a>()-m_shift-actual_k)</div>
<div class="line"><a name="l00295"></a><span class="lineno"> 295</span>  .applyHouseholderOnTheRight(<a class="code" href="classEigen_1_1HouseholderSequence.html#aaeaaa79416e82ffed90e36543cc1f564">essentialVector</a>(actual_k), m_coeffs.coeff(actual_k), workspace.data());</div>
<div class="line"><a name="l00296"></a><span class="lineno"> 296</span>  }</div>
<div class="line"><a name="l00297"></a><span class="lineno"> 297</span>  }</div>
<div class="line"><a name="l00298"></a><span class="lineno"> 298</span> </div>
<div class="line"><a name="l00300"></a><span class="lineno"> 300</span>  <span class="keyword">template</span><<span class="keyword">typename</span> Dest> <span class="keyword">inline</span> <span class="keywordtype">void</span> applyThisOnTheLeft(Dest& dst)<span class="keyword"> const</span></div>
<div class="line"><a name="l00301"></a><span class="lineno"> 301</span> <span class="keyword"> </span>{</div>
<div class="line"><a name="l00302"></a><span class="lineno"> 302</span>  Matrix<Scalar,1,Dest::ColsAtCompileTime,RowMajor,1,Dest::MaxColsAtCompileTime> workspace(dst.cols());</div>
<div class="line"><a name="l00303"></a><span class="lineno"> 303</span>  applyThisOnTheLeft(dst, workspace);</div>
<div class="line"><a name="l00304"></a><span class="lineno"> 304</span>  }</div>
<div class="line"><a name="l00305"></a><span class="lineno"> 305</span> </div>
<div class="line"><a name="l00307"></a><span class="lineno"> 307</span>  <span class="keyword">template</span><<span class="keyword">typename</span> Dest, <span class="keyword">typename</span> Workspace></div>
<div class="line"><a name="l00308"></a><span class="lineno"> 308</span>  <span class="keyword">inline</span> <span class="keywordtype">void</span> applyThisOnTheLeft(Dest& dst, Workspace& workspace)<span class="keyword"> const</span></div>
<div class="line"><a name="l00309"></a><span class="lineno"> 309</span> <span class="keyword"> </span>{</div>
<div class="line"><a name="l00310"></a><span class="lineno"> 310</span>  workspace.resize(dst.cols());</div>
<div class="line"><a name="l00311"></a><span class="lineno"> 311</span>  <span class="keywordflow">for</span>(Index k = 0; k < m_length; ++k)</div>
<div class="line"><a name="l00312"></a><span class="lineno"> 312</span>  {</div>
<div class="line"><a name="l00313"></a><span class="lineno"> 313</span>  Index actual_k = m_trans ? k : m_length-k-1;</div>
<div class="line"><a name="l00314"></a><span class="lineno"> 314</span>  dst.bottomRows(<a class="code" href="classEigen_1_1HouseholderSequence.html#a5552abd83dbd03c85cea6d61fd8875a5">rows</a>()-m_shift-actual_k)</div>
<div class="line"><a name="l00315"></a><span class="lineno"> 315</span>  .applyHouseholderOnTheLeft(<a class="code" href="classEigen_1_1HouseholderSequence.html#aaeaaa79416e82ffed90e36543cc1f564">essentialVector</a>(actual_k), m_coeffs.coeff(actual_k), workspace.data());</div>
<div class="line"><a name="l00316"></a><span class="lineno"> 316</span>  }</div>
<div class="line"><a name="l00317"></a><span class="lineno"> 317</span>  }</div>
<div class="line"><a name="l00318"></a><span class="lineno"> 318</span> </div>
<div class="line"><a name="l00326"></a><span class="lineno"> 326</span>  <span class="keyword">template</span><<span class="keyword">typename</span> OtherDerived></div>
<div class="line"><a name="l00327"></a><span class="lineno"><a class="line" href="classEigen_1_1HouseholderSequence.html#a6abbb28d5386d39fc294ab8b5ead5375"> 327</a></span>  <span class="keyword">typename</span> <a class="code" href="classEigen_1_1Matrix.html">internal::matrix_type_times_scalar_type<Scalar, OtherDerived>::Type</a> <a class="code" href="classEigen_1_1HouseholderSequence.html#a6abbb28d5386d39fc294ab8b5ead5375">operator*</a>(<span class="keyword">const</span> <a class="code" href="classEigen_1_1MatrixBase.html">MatrixBase<OtherDerived></a>& other)<span class="keyword"> const</span></div>
<div class="line"><a name="l00328"></a><span class="lineno"> 328</span> <span class="keyword"> </span>{</div>
<div class="line"><a name="l00329"></a><span class="lineno"> 329</span>  <span class="keyword">typename</span> <a class="code" href="classEigen_1_1Matrix.html">internal::matrix_type_times_scalar_type<Scalar, OtherDerived>::Type</a></div>
<div class="line"><a name="l00330"></a><span class="lineno"> 330</span>  res(other.template cast<<span class="keyword">typename</span> internal::matrix_type_times_scalar_type<Scalar,OtherDerived>::ResultScalar>());</div>
<div class="line"><a name="l00331"></a><span class="lineno"> 331</span>  applyThisOnTheLeft(res);</div>
<div class="line"><a name="l00332"></a><span class="lineno"> 332</span>  <span class="keywordflow">return</span> res;</div>
<div class="line"><a name="l00333"></a><span class="lineno"> 333</span>  }</div>
<div class="line"><a name="l00334"></a><span class="lineno"> 334</span> </div>
<div class="line"><a name="l00335"></a><span class="lineno"> 335</span>  <span class="keyword">template</span><<span class="keyword">typename</span> _VectorsType, <span class="keyword">typename</span> _CoeffsType, <span class="keywordtype">int</span> _S<span class="keywordtype">id</span>e> <span class="keyword">friend</span> <span class="keyword">struct </span>internal::hseq_side_dependent_impl;</div>
<div class="line"><a name="l00336"></a><span class="lineno"> 336</span> </div>
<div class="line"><a name="l00346"></a><span class="lineno"><a class="line" href="classEigen_1_1HouseholderSequence.html#a11ea4599a61fff6b27734e4dc31f2701"> 346</a></span>  <a class="code" href="classEigen_1_1HouseholderSequence.html">HouseholderSequence</a>& <a class="code" href="classEigen_1_1HouseholderSequence.html#a11ea4599a61fff6b27734e4dc31f2701">setLength</a>(Index <a class="code" href="classEigen_1_1HouseholderSequence.html#ab03433b49fb0a856a189b52c61f4872d">length</a>)</div>
<div class="line"><a name="l00347"></a><span class="lineno"> 347</span>  {</div>
<div class="line"><a name="l00348"></a><span class="lineno"> 348</span>  m_length = <a class="code" href="classEigen_1_1HouseholderSequence.html#ab03433b49fb0a856a189b52c61f4872d">length</a>;</div>
<div class="line"><a name="l00349"></a><span class="lineno"> 349</span>  <span class="keywordflow">return</span> *<span class="keyword">this</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="l00363"></a><span class="lineno"><a class="line" href="classEigen_1_1HouseholderSequence.html#af60a8214544812a06d520bd6605c539b"> 363</a></span>  <a class="code" href="classEigen_1_1HouseholderSequence.html">HouseholderSequence</a>& <a class="code" href="classEigen_1_1HouseholderSequence.html#af60a8214544812a06d520bd6605c539b">setShift</a>(Index <a class="code" href="classEigen_1_1HouseholderSequence.html#a83a0b0137bca9a5429116067ca0a1e0a">shift</a>)</div>
<div class="line"><a name="l00364"></a><span class="lineno"> 364</span>  {</div>
<div class="line"><a name="l00365"></a><span class="lineno"> 365</span>  m_shift = <a class="code" href="classEigen_1_1HouseholderSequence.html#a83a0b0137bca9a5429116067ca0a1e0a">shift</a>;</div>
<div class="line"><a name="l00366"></a><span class="lineno"> 366</span>  <span class="keywordflow">return</span> *<span class="keyword">this</span>;</div>
<div class="line"><a name="l00367"></a><span class="lineno"> 367</span>  }</div>
<div class="line"><a name="l00368"></a><span class="lineno"> 368</span> </div>
<div class="line"><a name="l00369"></a><span class="lineno"><a class="line" href="classEigen_1_1HouseholderSequence.html#ab03433b49fb0a856a189b52c61f4872d"> 369</a></span>  Index <a class="code" href="classEigen_1_1HouseholderSequence.html#ab03433b49fb0a856a189b52c61f4872d">length</a>()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> m_length; } </div>
<div class="line"><a name="l00370"></a><span class="lineno"><a class="line" href="classEigen_1_1HouseholderSequence.html#a83a0b0137bca9a5429116067ca0a1e0a"> 370</a></span>  Index <a class="code" href="classEigen_1_1HouseholderSequence.html#a83a0b0137bca9a5429116067ca0a1e0a">shift</a>()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> m_shift; } </div>
<div class="line"><a name="l00372"></a><span class="lineno"> 372</span>  <span class="comment">/* Necessary for .adjoint() and .conjugate() */</span></div>
<div class="line"><a name="l00373"></a><span class="lineno"> 373</span>  <span class="keyword">template</span> <<span class="keyword">typename</span> VectorsType2, <span class="keyword">typename</span> CoeffsType2, <span class="keywordtype">int</span> S<span class="keywordtype">id</span>e2> <span class="keyword">friend</span> <span class="keyword">class </span><a class="code" href="classEigen_1_1HouseholderSequence.html">HouseholderSequence</a>;</div>
<div class="line"><a name="l00374"></a><span class="lineno"> 374</span> </div>
<div class="line"><a name="l00375"></a><span class="lineno"> 375</span>  <span class="keyword">protected</span>:</div>
<div class="line"><a name="l00376"></a><span class="lineno"> 376</span> </div>
<div class="line"><a name="l00385"></a><span class="lineno"><a class="line" href="classEigen_1_1HouseholderSequence.html#a10457dacb3949bc6dd5001878641819e"> 385</a></span>  <a class="code" href="classEigen_1_1HouseholderSequence.html">HouseholderSequence</a>& <a class="code" href="classEigen_1_1HouseholderSequence.html#a10457dacb3949bc6dd5001878641819e">setTrans</a>(<span class="keywordtype">bool</span> <a class="code" href="classEigen_1_1HouseholderSequence.html#a60112ec072cfadceb8e909715cc33a1c">trans</a>)</div>
<div class="line"><a name="l00386"></a><span class="lineno"> 386</span>  {</div>
<div class="line"><a name="l00387"></a><span class="lineno"> 387</span>  m_trans = <a class="code" href="classEigen_1_1HouseholderSequence.html#a60112ec072cfadceb8e909715cc33a1c">trans</a>;</div>
<div class="line"><a name="l00388"></a><span class="lineno"> 388</span>  <span class="keywordflow">return</span> *<span class="keyword">this</span>;</div>
<div class="line"><a name="l00389"></a><span class="lineno"> 389</span>  }</div>
<div class="line"><a name="l00390"></a><span class="lineno"> 390</span> </div>
<div class="line"><a name="l00391"></a><span class="lineno"><a class="line" href="classEigen_1_1HouseholderSequence.html#a60112ec072cfadceb8e909715cc33a1c"> 391</a></span>  <span class="keywordtype">bool</span> <a class="code" href="classEigen_1_1HouseholderSequence.html#a60112ec072cfadceb8e909715cc33a1c">trans</a>()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> m_trans; } </div>
<div class="line"><a name="l00393"></a><span class="lineno"> 393</span>  <span class="keyword">typename</span> VectorsType::Nested m_vectors;</div>
<div class="line"><a name="l00394"></a><span class="lineno"> 394</span>  <span class="keyword">typename</span> CoeffsType::Nested m_coeffs;</div>
<div class="line"><a name="l00395"></a><span class="lineno"> 395</span>  <span class="keywordtype">bool</span> m_trans;</div>
<div class="line"><a name="l00396"></a><span class="lineno"> 396</span>  Index m_length;</div>
<div class="line"><a name="l00397"></a><span class="lineno"> 397</span>  Index m_shift;</div>
<div class="line"><a name="l00398"></a><span class="lineno"> 398</span> };</div>
<div class="line"><a name="l00399"></a><span class="lineno"> 399</span> </div>
<div class="line"><a name="l00408"></a><span class="lineno"> 408</span> <span class="keyword">template</span><<span class="keyword">typename</span> OtherDerived, <span class="keyword">typename</span> VectorsType, <span class="keyword">typename</span> CoeffsType, <span class="keywordtype">int</span> S<span class="keywordtype">id</span>e></div>
<div class="line"><a name="l00409"></a><span class="lineno"><a class="line" href="namespaceEigen.html#a634bfd5e206a2e77f799b4c3956ea49e"> 409</a></span> <span class="keyword">typename</span> <a class="code" href="classEigen_1_1Matrix.html">internal::matrix_type_times_scalar_type<typename VectorsType::Scalar,OtherDerived>::Type</a> <a class="code" href="namespaceEigen.html#a81fb70d0dc1c6deb42e9816647607247">operator*</a>(<span class="keyword">const</span> <a class="code" href="classEigen_1_1MatrixBase.html">MatrixBase<OtherDerived></a>& other, <span class="keyword">const</span> <a class="code" href="classEigen_1_1HouseholderSequence.html">HouseholderSequence<VectorsType,CoeffsType,Side></a>& h)</div>
<div class="line"><a name="l00410"></a><span class="lineno"> 410</span> {</div>
<div class="line"><a name="l00411"></a><span class="lineno"> 411</span>  <span class="keyword">typename</span> <a class="code" href="classEigen_1_1Matrix.html">internal::matrix_type_times_scalar_type<typename VectorsType::Scalar,OtherDerived>::Type</a></div>
<div class="line"><a name="l00412"></a><span class="lineno"> 412</span>  res(other.template cast<<span class="keyword">typename</span> internal::matrix_type_times_scalar_type<typename VectorsType::Scalar,OtherDerived>::ResultScalar>());</div>
<div class="line"><a name="l00413"></a><span class="lineno"> 413</span>  h.applyThisOnTheRight(res);</div>
<div class="line"><a name="l00414"></a><span class="lineno"> 414</span>  <span class="keywordflow">return</span> res;</div>
<div class="line"><a name="l00415"></a><span class="lineno"> 415</span> }</div>
<div class="line"><a name="l00416"></a><span class="lineno"> 416</span> </div>
<div class="line"><a name="l00421"></a><span class="lineno"> 421</span> <span class="keyword">template</span><<span class="keyword">typename</span> VectorsType, <span class="keyword">typename</span> CoeffsType></div>
<div class="line"><a name="l00422"></a><span class="lineno"><a class="line" href="group__Householder__Module.html#ga5f2b3f80cdf7ae96609e4a8d2e55e371"> 422</a></span> <a class="code" href="classEigen_1_1HouseholderSequence.html">HouseholderSequence<VectorsType,CoeffsType></a> <a class="code" href="group__Householder__Module.html#ga5f2b3f80cdf7ae96609e4a8d2e55e371">householderSequence</a>(<span class="keyword">const</span> VectorsType& v, <span class="keyword">const</span> CoeffsType& h)</div>
<div class="line"><a name="l00423"></a><span class="lineno"> 423</span> {</div>
<div class="line"><a name="l00424"></a><span class="lineno"> 424</span>  <span class="keywordflow">return</span> <a class="code" href="classEigen_1_1HouseholderSequence.html">HouseholderSequence<VectorsType,CoeffsType,OnTheLeft></a>(v, h);</div>
<div class="line"><a name="l00425"></a><span class="lineno"> 425</span> }</div>
<div class="line"><a name="l00426"></a><span class="lineno"> 426</span> </div>
<div class="line"><a name="l00433"></a><span class="lineno"> 433</span> <span class="keyword">template</span><<span class="keyword">typename</span> VectorsType, <span class="keyword">typename</span> CoeffsType></div>
<div class="line"><a name="l00434"></a><span class="lineno"><a class="line" href="group__Householder__Module.html#ga897ebce658762148f706f73a05525e89"> 434</a></span> <a class="code" href="classEigen_1_1HouseholderSequence.html">HouseholderSequence<VectorsType,CoeffsType,OnTheRight></a> <a class="code" href="group__Householder__Module.html#ga897ebce658762148f706f73a05525e89">rightHouseholderSequence</a>(<span class="keyword">const</span> VectorsType& v, <span class="keyword">const</span> CoeffsType& h)</div>
<div class="line"><a name="l00435"></a><span class="lineno"> 435</span> {</div>
<div class="line"><a name="l00436"></a><span class="lineno"> 436</span>  <span class="keywordflow">return</span> <a class="code" href="classEigen_1_1HouseholderSequence.html">HouseholderSequence<VectorsType,CoeffsType,OnTheRight></a>(v, h);</div>
<div class="line"><a name="l00437"></a><span class="lineno"> 437</span> }</div>
<div class="line"><a name="l00438"></a><span class="lineno"> 438</span> </div>
<div class="line"><a name="l00439"></a><span class="lineno"> 439</span> } <span class="comment">// end namespace Eigen</span></div>
<div class="line"><a name="l00440"></a><span class="lineno"> 440</span> </div>
<div class="line"><a name="l00441"></a><span class="lineno"> 441</span> <span class="preprocessor">#endif // EIGEN_HOUSEHOLDER_SEQUENCE_H</span></div>
<div class="ttc" id="classEigen_1_1HouseholderSequence_html_a5dc0922b29ae5e2a867cff75cbf7ac1a"><div class="ttname"><a href="classEigen_1_1HouseholderSequence.html#a5dc0922b29ae5e2a867cff75cbf7ac1a">Eigen::HouseholderSequence::adjoint</a></div><div class="ttdeci">ConjugateReturnType adjoint() const </div><div class="ttdoc">Adjoint (conjugate transpose) of the Householder sequence. </div><div class="ttdef"><b>Definition:</b> HouseholderSequence.h:218</div></div>
<div class="ttc" id="classEigen_1_1HouseholderSequence_html_a6abbb28d5386d39fc294ab8b5ead5375"><div class="ttname"><a href="classEigen_1_1HouseholderSequence.html#a6abbb28d5386d39fc294ab8b5ead5375">Eigen::HouseholderSequence::operator*</a></div><div class="ttdeci">internal::matrix_type_times_scalar_type< Scalar, OtherDerived >::Type operator*(const MatrixBase< OtherDerived > &other) const </div><div class="ttdoc">Computes the product of a Householder sequence with a matrix. </div><div class="ttdef"><b>Definition:</b> HouseholderSequence.h:327</div></div>
<div class="ttc" id="classEigen_1_1HouseholderSequence_html_ad13f4e783d2a24b55b5280e0a9096df1"><div class="ttname"><a href="classEigen_1_1HouseholderSequence.html#ad13f4e783d2a24b55b5280e0a9096df1">Eigen::HouseholderSequence::inverse</a></div><div class="ttdeci">ConjugateReturnType inverse() const </div><div class="ttdoc">Inverse of the Householder sequence (equals the adjoint). </div><div class="ttdef"><b>Definition:</b> HouseholderSequence.h:224</div></div>
<div class="ttc" id="classEigen_1_1HouseholderSequence_html_a675ccc58e030cd6a2f43864257737ea0"><div class="ttname"><a href="classEigen_1_1HouseholderSequence.html#a675ccc58e030cd6a2f43864257737ea0">Eigen::HouseholderSequence::transpose</a></div><div class="ttdeci">HouseholderSequence transpose() const </div><div class="ttdoc">Transpose of the Householder sequence. </div><div class="ttdef"><b>Definition:</b> HouseholderSequence.h:203</div></div>
<div class="ttc" id="classEigen_1_1HouseholderSequence_html_aaca1908a5ec508a25ff0a8bca803e5f3"><div class="ttname"><a href="classEigen_1_1HouseholderSequence.html#aaca1908a5ec508a25ff0a8bca803e5f3">Eigen::HouseholderSequence::cols</a></div><div class="ttdeci">Index cols() const </div><div class="ttdoc">Number of columns of transformation viewed as a matrix. </div><div class="ttdef"><b>Definition:</b> HouseholderSequence.h:180</div></div>
<div class="ttc" id="classEigen_1_1HouseholderSequence_html_a17449d69230251d4fdcf3e43a1b3ddda"><div class="ttname"><a href="classEigen_1_1HouseholderSequence.html#a17449d69230251d4fdcf3e43a1b3ddda">Eigen::HouseholderSequence::HouseholderSequence</a></div><div class="ttdeci">HouseholderSequence(const HouseholderSequence &other)</div><div class="ttdoc">Copy constructor. </div><div class="ttdef"><b>Definition:</b> HouseholderSequence.h:161</div></div>
<div class="ttc" id="namespaceEigen_html_a81fb70d0dc1c6deb42e9816647607247"><div class="ttname"><a href="namespaceEigen.html#a81fb70d0dc1c6deb42e9816647607247">Eigen::operator*</a></div><div class="ttdeci">const internal::permut_matrix_product_retval< PermutationDerived, Derived, OnTheRight > operator*(const MatrixBase< Derived > &matrix, const PermutationBase< PermutationDerived > &permutation)</div><div class="ttdef"><b>Definition:</b> PermutationMatrix.h:510</div></div>
<div class="ttc" id="classEigen_1_1HouseholderSequence_html_a11ea4599a61fff6b27734e4dc31f2701"><div class="ttname"><a href="classEigen_1_1HouseholderSequence.html#a11ea4599a61fff6b27734e4dc31f2701">Eigen::HouseholderSequence::setLength</a></div><div class="ttdeci">HouseholderSequence & setLength(Index length)</div><div class="ttdoc">Sets the length of the Householder sequence. </div><div class="ttdef"><b>Definition:</b> HouseholderSequence.h:346</div></div>
<div class="ttc" id="group__Householder__Module_html_ga5f2b3f80cdf7ae96609e4a8d2e55e371"><div class="ttname"><a href="group__Householder__Module.html#ga5f2b3f80cdf7ae96609e4a8d2e55e371">Eigen::householderSequence</a></div><div class="ttdeci">HouseholderSequence< VectorsType, CoeffsType > householderSequence(const VectorsType &v, const CoeffsType &h)</div><div class="ttdoc">Convenience function for constructing a Householder sequence. </div><div class="ttdef"><b>Definition:</b> HouseholderSequence.h:422</div></div>
<div class="ttc" id="group__enums_html_gga0c5bde183ecefe103f70b49ad9740bcdac86184b0e3be936fbfd20249a057a0bf"><div class="ttname"><a href="group__enums.html#gga0c5bde183ecefe103f70b49ad9740bcdac86184b0e3be936fbfd20249a057a0bf">Eigen::ColMajor</a></div><div class="ttdef"><b>Definition:</b> Constants.h:264</div></div>
<div class="ttc" id="classEigen_1_1HouseholderSequence_html"><div class="ttname"><a href="classEigen_1_1HouseholderSequence.html">Eigen::HouseholderSequence</a></div><div class="ttdoc">Sequence of Householder reflections acting on subspaces with decreasing size. </div><div class="ttdef"><b>Definition:</b> ForwardDeclarations.h:227</div></div>
<div class="ttc" id="classEigen_1_1HouseholderSequence_html_af60a8214544812a06d520bd6605c539b"><div class="ttname"><a href="classEigen_1_1HouseholderSequence.html#af60a8214544812a06d520bd6605c539b">Eigen::HouseholderSequence::setShift</a></div><div class="ttdeci">HouseholderSequence & setShift(Index shift)</div><div class="ttdoc">Sets the shift of the Householder sequence. </div><div class="ttdef"><b>Definition:</b> HouseholderSequence.h:363</div></div>
<div class="ttc" id="classEigen_1_1HouseholderSequence_html_a5552abd83dbd03c85cea6d61fd8875a5"><div class="ttname"><a href="classEigen_1_1HouseholderSequence.html#a5552abd83dbd03c85cea6d61fd8875a5">Eigen::HouseholderSequence::rows</a></div><div class="ttdeci">Index rows() const </div><div class="ttdoc">Number of rows of transformation viewed as a matrix. </div><div class="ttdef"><b>Definition:</b> HouseholderSequence.h:174</div></div>
<div class="ttc" id="classEigen_1_1HouseholderSequence_html_a83a0b0137bca9a5429116067ca0a1e0a"><div class="ttname"><a href="classEigen_1_1HouseholderSequence.html#a83a0b0137bca9a5429116067ca0a1e0a">Eigen::HouseholderSequence::shift</a></div><div class="ttdeci">Index shift() const </div><div class="ttdoc">Returns the shift of the Householder sequence. </div><div class="ttdef"><b>Definition:</b> HouseholderSequence.h:370</div></div>
<div class="ttc" id="group__enums_html_gga3f4a95405348aa63ef907e692901011faeda0d7b1859ec757de18ee3b7c6c541c"><div class="ttname"><a href="group__enums.html#gga3f4a95405348aa63ef907e692901011faeda0d7b1859ec757de18ee3b7c6c541c">Eigen::OnTheRight</a></div><div class="ttdef"><b>Definition:</b> Constants.h:279</div></div>
<div class="ttc" id="group__enums_html_gga0c5bde183ecefe103f70b49ad9740bcda02a97bb4792f98916a1156a521fa9813"><div class="ttname"><a href="group__enums.html#gga0c5bde183ecefe103f70b49ad9740bcda02a97bb4792f98916a1156a521fa9813">Eigen::AutoAlign</a></div><div class="ttdef"><b>Definition:</b> Constants.h:268</div></div>
<div class="ttc" id="classEigen_1_1HouseholderSequence_html_a3202eb0eaf16ad05ef90ca741bbf1cbc"><div class="ttname"><a href="classEigen_1_1HouseholderSequence.html#a3202eb0eaf16ad05ef90ca741bbf1cbc">Eigen::HouseholderSequence::HouseholderSequence</a></div><div class="ttdeci">HouseholderSequence(const VectorsType &v, const CoeffsType &h)</div><div class="ttdoc">Constructor. </div><div class="ttdef"><b>Definition:</b> HouseholderSequence.h:154</div></div>
<div class="ttc" id="classEigen_1_1HouseholderSequence_html_a60112ec072cfadceb8e909715cc33a1c"><div class="ttname"><a href="classEigen_1_1HouseholderSequence.html#a60112ec072cfadceb8e909715cc33a1c">Eigen::HouseholderSequence::trans</a></div><div class="ttdeci">bool trans() const </div><div class="ttdoc">Returns the transpose flag. </div><div class="ttdef"><b>Definition:</b> HouseholderSequence.h:391</div></div>
<div class="ttc" id="group__Householder__Module_html_ga897ebce658762148f706f73a05525e89"><div class="ttname"><a href="group__Householder__Module.html#ga897ebce658762148f706f73a05525e89">Eigen::rightHouseholderSequence</a></div><div class="ttdeci">HouseholderSequence< VectorsType, CoeffsType, OnTheRight > rightHouseholderSequence(const VectorsType &v, const CoeffsType &h)</div><div class="ttdoc">Convenience function for constructing a Householder sequence. </div><div class="ttdef"><b>Definition:</b> HouseholderSequence.h:434</div></div>
<div class="ttc" id="classEigen_1_1Block_html"><div class="ttname"><a href="classEigen_1_1Block.html">Eigen::Block</a></div><div class="ttdoc">Expression of a fixed-size or dynamic-size block. </div><div class="ttdef"><b>Definition:</b> Block.h:102</div></div>
<div class="ttc" id="classEigen_1_1HouseholderSequence_html_aaeaaa79416e82ffed90e36543cc1f564"><div class="ttname"><a href="classEigen_1_1HouseholderSequence.html#aaeaaa79416e82ffed90e36543cc1f564">Eigen::HouseholderSequence::essentialVector</a></div><div class="ttdeci">const EssentialVectorType essentialVector(Index k) const </div><div class="ttdoc">Essential part of a Householder vector. </div><div class="ttdef"><b>Definition:</b> HouseholderSequence.h:196</div></div>
<div class="ttc" id="classEigen_1_1HouseholderSequence_html_ab03433b49fb0a856a189b52c61f4872d"><div class="ttname"><a href="classEigen_1_1HouseholderSequence.html#ab03433b49fb0a856a189b52c61f4872d">Eigen::HouseholderSequence::length</a></div><div class="ttdeci">Index length() const </div><div class="ttdoc">Returns the length of the Householder sequence. </div><div class="ttdef"><b>Definition:</b> HouseholderSequence.h:369</div></div>
<div class="ttc" id="classEigen_1_1HouseholderSequence_html_a10457dacb3949bc6dd5001878641819e"><div class="ttname"><a href="classEigen_1_1HouseholderSequence.html#a10457dacb3949bc6dd5001878641819e">Eigen::HouseholderSequence::setTrans</a></div><div class="ttdeci">HouseholderSequence & setTrans(bool trans)</div><div class="ttdoc">Sets the transpose flag. </div><div class="ttdef"><b>Definition:</b> HouseholderSequence.h:385</div></div>
<div class="ttc" id="classEigen_1_1HouseholderSequence_html_aab6c2241712d7faf07019a0d86d3fb79"><div class="ttname"><a href="classEigen_1_1HouseholderSequence.html#aab6c2241712d7faf07019a0d86d3fb79">Eigen::HouseholderSequence::conjugate</a></div><div class="ttdeci">ConjugateReturnType conjugate() const </div><div class="ttdoc">Complex conjugate of the Householder sequence. </div><div class="ttdef"><b>Definition:</b> HouseholderSequence.h:209</div></div>
<div class="ttc" id="classEigen_1_1Matrix_html"><div class="ttname"><a href="classEigen_1_1Matrix.html">Eigen::Matrix</a></div><div class="ttdoc">The matrix class, also used for vectors and row-vectors. </div><div class="ttdef"><b>Definition:</b> Matrix.h:127</div></div>
<div class="ttc" id="group__enums_html_gga3f4a95405348aa63ef907e692901011fa02217d2d79111440646e3b00c747745f"><div class="ttname"><a href="group__enums.html#gga3f4a95405348aa63ef907e692901011fa02217d2d79111440646e3b00c747745f">Eigen::OnTheLeft</a></div><div class="ttdef"><b>Definition:</b> Constants.h:277</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>
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