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<div class="title">chow_patel_ilu.hpp</div> </div>
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<a href="chow__patel__ilu_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno"> 1</span> <span class="preprocessor">#ifndef VIENNACL_LINALG_DETAIL_CHOW_PATEL_ILU_HPP_</span></div>
<div class="line"><a name="l00002"></a><span class="lineno"> 2</span> <span class="preprocessor">#define VIENNACL_LINALG_DETAIL_CHOW_PATEL_ILU_HPP_</span></div>
<div class="line"><a name="l00003"></a><span class="lineno"> 3</span> </div>
<div class="line"><a name="l00004"></a><span class="lineno"> 4</span> <span class="comment">/* =========================================================================</span></div>
<div class="line"><a name="l00005"></a><span class="lineno"> 5</span> <span class="comment"> Copyright (c) 2010-2016, Institute for Microelectronics,</span></div>
<div class="line"><a name="l00006"></a><span class="lineno"> 6</span> <span class="comment"> Institute for Analysis and Scientific Computing,</span></div>
<div class="line"><a name="l00007"></a><span class="lineno"> 7</span> <span class="comment"> TU Wien.</span></div>
<div class="line"><a name="l00008"></a><span class="lineno"> 8</span> <span class="comment"> Portions of this software are copyright by UChicago Argonne, LLC.</span></div>
<div class="line"><a name="l00009"></a><span class="lineno"> 9</span> <span class="comment"></span></div>
<div class="line"><a name="l00010"></a><span class="lineno"> 10</span> <span class="comment"> -----------------</span></div>
<div class="line"><a name="l00011"></a><span class="lineno"> 11</span> <span class="comment"> ViennaCL - The Vienna Computing Library</span></div>
<div class="line"><a name="l00012"></a><span class="lineno"> 12</span> <span class="comment"> -----------------</span></div>
<div class="line"><a name="l00013"></a><span class="lineno"> 13</span> <span class="comment"></span></div>
<div class="line"><a name="l00014"></a><span class="lineno"> 14</span> <span class="comment"> Project Head: Karl Rupp rupp@iue.tuwien.ac.at</span></div>
<div class="line"><a name="l00015"></a><span class="lineno"> 15</span> <span class="comment"></span></div>
<div class="line"><a name="l00016"></a><span class="lineno"> 16</span> <span class="comment"> (A list of authors and contributors can be found in the PDF manual)</span></div>
<div class="line"><a name="l00017"></a><span class="lineno"> 17</span> <span class="comment"></span></div>
<div class="line"><a name="l00018"></a><span class="lineno"> 18</span> <span class="comment"> License: MIT (X11), see file LICENSE in the base directory</span></div>
<div class="line"><a name="l00019"></a><span class="lineno"> 19</span> <span class="comment">============================================================================= */</span></div>
<div class="line"><a name="l00020"></a><span class="lineno"> 20</span> </div>
<div class="line"><a name="l00027"></a><span class="lineno"> 27</span> <span class="preprocessor">#include <vector></span></div>
<div class="line"><a name="l00028"></a><span class="lineno"> 28</span> <span class="preprocessor">#include <cmath></span></div>
<div class="line"><a name="l00029"></a><span class="lineno"> 29</span> <span class="preprocessor">#include <iostream></span></div>
<div class="line"><a name="l00030"></a><span class="lineno"> 30</span> <span class="preprocessor">#include "<a class="code" href="forwards_8h.html">viennacl/forwards.h</a>"</span></div>
<div class="line"><a name="l00031"></a><span class="lineno"> 31</span> <span class="preprocessor">#include "<a class="code" href="tools_8hpp.html">viennacl/tools/tools.hpp</a>"</span></div>
<div class="line"><a name="l00032"></a><span class="lineno"> 32</span> <span class="preprocessor">#include "<a class="code" href="linalg_2detail_2ilu_2common_8hpp.html">viennacl/linalg/detail/ilu/common.hpp</a>"</span></div>
<div class="line"><a name="l00033"></a><span class="lineno"> 33</span> <span class="preprocessor">#include "<a class="code" href="ilu__operations_8hpp.html">viennacl/linalg/ilu_operations.hpp</a>"</span></div>
<div class="line"><a name="l00034"></a><span class="lineno"> 34</span> <span class="preprocessor">#include "<a class="code" href="prod_8hpp.html">viennacl/linalg/prod.hpp</a>"</span></div>
<div class="line"><a name="l00035"></a><span class="lineno"> 35</span> <span class="preprocessor">#include "<a class="code" href="memory_8hpp.html">viennacl/backend/memory.hpp</a>"</span></div>
<div class="line"><a name="l00036"></a><span class="lineno"> 36</span> </div>
<div class="line"><a name="l00037"></a><span class="lineno"> 37</span> <span class="keyword">namespace </span>viennacl</div>
<div class="line"><a name="l00038"></a><span class="lineno"> 38</span> {</div>
<div class="line"><a name="l00039"></a><span class="lineno"> 39</span> <span class="keyword">namespace </span>linalg</div>
<div class="line"><a name="l00040"></a><span class="lineno"> 40</span> {</div>
<div class="line"><a name="l00041"></a><span class="lineno"> 41</span> </div>
<div class="line"><a name="l00044"></a><span class="lineno"><a class="line" href="classviennacl_1_1linalg_1_1chow__patel__tag.html"> 44</a></span> <span class="keyword">class </span><a class="code" href="classviennacl_1_1linalg_1_1chow__patel__tag.html">chow_patel_tag</a></div>
<div class="line"><a name="l00045"></a><span class="lineno"> 45</span> {</div>
<div class="line"><a name="l00046"></a><span class="lineno"> 46</span> <span class="keyword">public</span>:</div>
<div class="line"><a name="l00052"></a><span class="lineno"><a class="line" href="classviennacl_1_1linalg_1_1chow__patel__tag.html#aba43bb63c0169b6b9504677337d57218"> 52</a></span>  <a class="code" href="classviennacl_1_1linalg_1_1chow__patel__tag.html#aba43bb63c0169b6b9504677337d57218">chow_patel_tag</a>(<a class="code" href="namespaceviennacl.html#a98a0afcc513111ffa0bd138f891930df">vcl_size_t</a> num_sweeps = 3, <a class="code" href="namespaceviennacl.html#a98a0afcc513111ffa0bd138f891930df">vcl_size_t</a> num_jacobi_iters = 2) : sweeps_(num_sweeps), jacobi_iters_(num_jacobi_iters) {}</div>
<div class="line"><a name="l00053"></a><span class="lineno"> 53</span> </div>
<div class="line"><a name="l00055"></a><span class="lineno"><a class="line" href="classviennacl_1_1linalg_1_1chow__patel__tag.html#a646bc4b6df30814e9f64d96d9b872738"> 55</a></span>  <a class="code" href="namespaceviennacl.html#a98a0afcc513111ffa0bd138f891930df">vcl_size_t</a> <a class="code" href="classviennacl_1_1linalg_1_1chow__patel__tag.html#a646bc4b6df30814e9f64d96d9b872738">sweeps</a>()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> sweeps_; }</div>
<div class="line"><a name="l00057"></a><span class="lineno"><a class="line" href="classviennacl_1_1linalg_1_1chow__patel__tag.html#aef5eebaa9746d61f5155275f706b35bb"> 57</a></span>  <span class="keywordtype">void</span> <a class="code" href="classviennacl_1_1linalg_1_1chow__patel__tag.html#aef5eebaa9746d61f5155275f706b35bb">sweeps</a>(<a class="code" href="namespaceviennacl.html#a98a0afcc513111ffa0bd138f891930df">vcl_size_t</a> num) { sweeps_ = num; }</div>
<div class="line"><a name="l00058"></a><span class="lineno"> 58</span> </div>
<div class="line"><a name="l00060"></a><span class="lineno"><a class="line" href="classviennacl_1_1linalg_1_1chow__patel__tag.html#a57b522b1e889fe09b1e5b9ed47b7e036"> 60</a></span>  <a class="code" href="namespaceviennacl.html#a98a0afcc513111ffa0bd138f891930df">vcl_size_t</a> <a class="code" href="classviennacl_1_1linalg_1_1chow__patel__tag.html#a57b522b1e889fe09b1e5b9ed47b7e036">jacobi_iters</a>()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> jacobi_iters_; }</div>
<div class="line"><a name="l00062"></a><span class="lineno"><a class="line" href="classviennacl_1_1linalg_1_1chow__patel__tag.html#ac481d0e7a28ee1c4ec83e70877329aba"> 62</a></span>  <span class="keywordtype">void</span> <a class="code" href="classviennacl_1_1linalg_1_1chow__patel__tag.html#ac481d0e7a28ee1c4ec83e70877329aba">jacobi_iters</a>(<a class="code" href="namespaceviennacl.html#a98a0afcc513111ffa0bd138f891930df">vcl_size_t</a> num) { jacobi_iters_ = num; }</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> <span class="keyword">private</span>:</div>
<div class="line"><a name="l00065"></a><span class="lineno"> 65</span>  <a class="code" href="namespaceviennacl.html#a98a0afcc513111ffa0bd138f891930df">vcl_size_t</a> sweeps_;</div>
<div class="line"><a name="l00066"></a><span class="lineno"> 66</span>  <a class="code" href="namespaceviennacl.html#a98a0afcc513111ffa0bd138f891930df">vcl_size_t</a> jacobi_iters_;</div>
<div class="line"><a name="l00067"></a><span class="lineno"> 67</span> };</div>
<div class="line"><a name="l00068"></a><span class="lineno"> 68</span> </div>
<div class="line"><a name="l00069"></a><span class="lineno"> 69</span> <span class="keyword">namespace </span>detail</div>
<div class="line"><a name="l00070"></a><span class="lineno"> 70</span> {</div>
<div class="line"><a name="l00076"></a><span class="lineno"> 76</span>  <span class="keyword">template</span><<span class="keyword">typename</span> NumericT></div>
<div class="line"><a name="l00077"></a><span class="lineno"><a class="line" href="namespaceviennacl_1_1linalg_1_1detail.html#a006ad49a52d2d2bbe57a17732de8b236"> 77</a></span>  <span class="keywordtype">void</span> <a class="code" href="namespaceviennacl_1_1linalg_1_1detail.html#a006ad49a52d2d2bbe57a17732de8b236">precondition</a>(<a class="code" href="classviennacl_1_1compressed__matrix.html">viennacl::compressed_matrix<NumericT></a> <span class="keyword">const</span> & A,</div>
<div class="line"><a name="l00078"></a><span class="lineno"> 78</span>  <a class="code" href="classviennacl_1_1compressed__matrix.html">viennacl::compressed_matrix<NumericT></a> & L,</div>
<div class="line"><a name="l00079"></a><span class="lineno"> 79</span>  <a class="code" href="classviennacl_1_1vector.html">viennacl::vector<NumericT></a> & diag_L,</div>
<div class="line"><a name="l00080"></a><span class="lineno"> 80</span>  <a class="code" href="classviennacl_1_1compressed__matrix.html">viennacl::compressed_matrix<NumericT></a> & L_trans,</div>
<div class="line"><a name="l00081"></a><span class="lineno"> 81</span>  <a class="code" href="classviennacl_1_1linalg_1_1chow__patel__tag.html">chow_patel_tag</a> <span class="keyword">const</span> & tag)</div>
<div class="line"><a name="l00082"></a><span class="lineno"> 82</span>  {</div>
<div class="line"><a name="l00083"></a><span class="lineno"> 83</span>  <span class="comment">// make sure L and U have correct dimensions:</span></div>
<div class="line"><a name="l00084"></a><span class="lineno"> 84</span>  L.<a class="code" href="classviennacl_1_1compressed__matrix.html#afcf49945a63836e1edfca536fcd191fb">resize</a>(A.<a class="code" href="classviennacl_1_1compressed__matrix.html#a463cf1739f9cdd387aa185cb574db183">size1</a>(), A.<a class="code" href="classviennacl_1_1compressed__matrix.html#a4fc12fc4abfef4a1426575a2d73f18ab">size2</a>(), <span class="keyword">false</span>);</div>
<div class="line"><a name="l00085"></a><span class="lineno"> 85</span> </div>
<div class="line"><a name="l00086"></a><span class="lineno"> 86</span>  <span class="comment">// initialize L and U from values in A:</span></div>
<div class="line"><a name="l00087"></a><span class="lineno"> 87</span>  <a class="code" href="namespaceviennacl_1_1linalg.html#afe38139ef1b1fa4581104998c73ec424">viennacl::linalg::extract_L</a>(A, L);</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="comment">// diagonally scale values from A in L:</span></div>
<div class="line"><a name="l00090"></a><span class="lineno"> 90</span>  <a class="code" href="namespaceviennacl_1_1linalg.html#ad3d5695fc60367c6d3240ba6d693c015">viennacl::linalg::icc_scale</a>(A, L);</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>  <a class="code" href="classviennacl_1_1vector.html">viennacl::vector<NumericT></a> aij_L(L.<a class="code" href="classviennacl_1_1compressed__matrix.html#ae69ca21ded644fdd0c7a5168011b13ed">nnz</a>(), <a class="code" href="namespaceviennacl_1_1traits.html#a6707f5dab8f482170d2046a605f46ef8">viennacl::traits::context</a>(A));</div>
<div class="line"><a name="l00093"></a><span class="lineno"> 93</span>  <a class="code" href="namespaceviennacl_1_1backend.html#a39a91fd7aa68ebf64bd7bfa409732ec0">viennacl::backend::memory_copy</a>(L.<a class="code" href="classviennacl_1_1compressed__matrix.html#a87a0ad5f26983b1c2d24ee302d886562">handle</a>(), aij_L.handle(), 0, 0, <span class="keyword">sizeof</span>(<a class="code" href="tests_2src_2bisect_8cpp.html#a52b5d30a2d7b064678644a3bf49b7f6c">NumericT</a>) * L.<a class="code" href="classviennacl_1_1compressed__matrix.html#ae69ca21ded644fdd0c7a5168011b13ed">nnz</a>());</div>
<div class="line"><a name="l00094"></a><span class="lineno"> 94</span> </div>
<div class="line"><a name="l00095"></a><span class="lineno"> 95</span>  <span class="comment">// run sweeps:</span></div>
<div class="line"><a name="l00096"></a><span class="lineno"> 96</span>  <span class="keywordflow">for</span> (<a class="code" href="namespaceviennacl.html#a98a0afcc513111ffa0bd138f891930df">vcl_size_t</a> i=0; i<tag.<a class="code" href="classviennacl_1_1linalg_1_1chow__patel__tag.html#a646bc4b6df30814e9f64d96d9b872738">sweeps</a>(); ++i)</div>
<div class="line"><a name="l00097"></a><span class="lineno"> 97</span>  <a class="code" href="namespaceviennacl_1_1linalg.html#a15fb87042a449e9544121d6f3e004fd0">viennacl::linalg::icc_chow_patel_sweep</a>(L, aij_L);</div>
<div class="line"><a name="l00098"></a><span class="lineno"> 98</span> </div>
<div class="line"><a name="l00099"></a><span class="lineno"> 99</span>  <span class="comment">// transpose L to obtain L_trans:</span></div>
<div class="line"><a name="l00100"></a><span class="lineno"> 100</span>  <a class="code" href="namespaceviennacl_1_1linalg.html#a6ba9a2427b8985f9e6f8cb507346df5c">viennacl::linalg::ilu_transpose</a>(L, L_trans);</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="comment">// form (I - D_L^{-1}L) and (I - D_U^{-1} U), with U := L_trans</span></div>
<div class="line"><a name="l00103"></a><span class="lineno"> 103</span>  <a class="code" href="namespaceviennacl_1_1linalg.html#ad9f852e45ca5d5a753db43033bf4444b">viennacl::linalg::ilu_form_neumann_matrix</a>(L, diag_L);</div>
<div class="line"><a name="l00104"></a><span class="lineno"> 104</span>  <a class="code" href="namespaceviennacl_1_1linalg.html#ad9f852e45ca5d5a753db43033bf4444b">viennacl::linalg::ilu_form_neumann_matrix</a>(L_trans, diag_L);</div>
<div class="line"><a name="l00105"></a><span class="lineno"> 105</span>  }</div>
<div class="line"><a name="l00106"></a><span class="lineno"> 106</span> </div>
<div class="line"><a name="l00107"></a><span class="lineno"> 107</span> </div>
<div class="line"><a name="l00109"></a><span class="lineno"> 109</span>  <span class="keyword">template</span><<span class="keyword">typename</span> NumericT></div>
<div class="line"><a name="l00110"></a><span class="lineno"><a class="line" href="namespaceviennacl_1_1linalg_1_1detail.html#aa63ac0d6ae61cdd26429482310f7ec5a"> 110</a></span>  <span class="keywordtype">void</span> <a class="code" href="namespaceviennacl_1_1linalg_1_1detail.html#a006ad49a52d2d2bbe57a17732de8b236">precondition</a>(<a class="code" href="classviennacl_1_1compressed__matrix.html">viennacl::compressed_matrix<NumericT></a> <span class="keyword">const</span> & A,</div>
<div class="line"><a name="l00111"></a><span class="lineno"> 111</span>  <a class="code" href="classviennacl_1_1compressed__matrix.html">viennacl::compressed_matrix<NumericT></a> & L,</div>
<div class="line"><a name="l00112"></a><span class="lineno"> 112</span>  <a class="code" href="classviennacl_1_1vector.html">viennacl::vector<NumericT></a> & diag_L,</div>
<div class="line"><a name="l00113"></a><span class="lineno"> 113</span>  <a class="code" href="classviennacl_1_1compressed__matrix.html">viennacl::compressed_matrix<NumericT></a> & U,</div>
<div class="line"><a name="l00114"></a><span class="lineno"> 114</span>  <a class="code" href="classviennacl_1_1vector.html">viennacl::vector<NumericT></a> & diag_U,</div>
<div class="line"><a name="l00115"></a><span class="lineno"> 115</span>  <a class="code" href="classviennacl_1_1linalg_1_1chow__patel__tag.html">chow_patel_tag</a> <span class="keyword">const</span> & tag)</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="comment">// make sure L and U have correct dimensions:</span></div>
<div class="line"><a name="l00118"></a><span class="lineno"> 118</span>  L.<a class="code" href="classviennacl_1_1compressed__matrix.html#afcf49945a63836e1edfca536fcd191fb">resize</a>(A.<a class="code" href="classviennacl_1_1compressed__matrix.html#a463cf1739f9cdd387aa185cb574db183">size1</a>(), A.<a class="code" href="classviennacl_1_1compressed__matrix.html#a4fc12fc4abfef4a1426575a2d73f18ab">size2</a>(), <span class="keyword">false</span>);</div>
<div class="line"><a name="l00119"></a><span class="lineno"> 119</span>  U.<a class="code" href="classviennacl_1_1compressed__matrix.html#afcf49945a63836e1edfca536fcd191fb">resize</a>(A.<a class="code" href="classviennacl_1_1compressed__matrix.html#a463cf1739f9cdd387aa185cb574db183">size1</a>(), A.<a class="code" href="classviennacl_1_1compressed__matrix.html#a4fc12fc4abfef4a1426575a2d73f18ab">size2</a>(), <span class="keyword">false</span>);</div>
<div class="line"><a name="l00120"></a><span class="lineno"> 120</span> </div>
<div class="line"><a name="l00121"></a><span class="lineno"> 121</span>  <span class="comment">// initialize L and U from values in A:</span></div>
<div class="line"><a name="l00122"></a><span class="lineno"> 122</span>  <a class="code" href="namespaceviennacl_1_1linalg.html#a61379d44e4a0d7a05f0b327424796ca1">viennacl::linalg::extract_LU</a>(A, L, U);</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="comment">// diagonally scale values from A in L and U:</span></div>
<div class="line"><a name="l00125"></a><span class="lineno"> 125</span>  <a class="code" href="namespaceviennacl_1_1linalg.html#aa9dd52d566f9dbb5fad53131f294fd6e">viennacl::linalg::ilu_scale</a>(A, L, U);</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="comment">// transpose storage layout of U from CSR to CSC via transposition</span></div>
<div class="line"><a name="l00128"></a><span class="lineno"> 128</span>  <a class="code" href="classviennacl_1_1compressed__matrix.html">viennacl::compressed_matrix<NumericT></a> U_trans;</div>
<div class="line"><a name="l00129"></a><span class="lineno"> 129</span>  <a class="code" href="namespaceviennacl_1_1linalg.html#a6ba9a2427b8985f9e6f8cb507346df5c">viennacl::linalg::ilu_transpose</a>(U, U_trans);</div>
<div class="line"><a name="l00130"></a><span class="lineno"> 130</span> </div>
<div class="line"><a name="l00131"></a><span class="lineno"> 131</span>  <span class="comment">// keep entries of a_ij for the sweeps</span></div>
<div class="line"><a name="l00132"></a><span class="lineno"> 132</span>  <a class="code" href="classviennacl_1_1vector.html">viennacl::vector<NumericT></a> aij_L (L.<a class="code" href="classviennacl_1_1compressed__matrix.html#ae69ca21ded644fdd0c7a5168011b13ed">nnz</a>(), <a class="code" href="namespaceviennacl_1_1traits.html#a6707f5dab8f482170d2046a605f46ef8">viennacl::traits::context</a>(A));</div>
<div class="line"><a name="l00133"></a><span class="lineno"> 133</span>  <a class="code" href="classviennacl_1_1vector.html">viennacl::vector<NumericT></a> aij_U_trans(U_trans.<a class="code" href="classviennacl_1_1compressed__matrix.html#ae69ca21ded644fdd0c7a5168011b13ed">nnz</a>(), <a class="code" href="namespaceviennacl_1_1traits.html#a6707f5dab8f482170d2046a605f46ef8">viennacl::traits::context</a>(A));</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>  <a class="code" href="namespaceviennacl_1_1backend.html#a39a91fd7aa68ebf64bd7bfa409732ec0">viennacl::backend::memory_copy</a>( L.<a class="code" href="classviennacl_1_1compressed__matrix.html#a87a0ad5f26983b1c2d24ee302d886562">handle</a>(), aij_L.handle(), 0, 0, <span class="keyword">sizeof</span>(<a class="code" href="tests_2src_2bisect_8cpp.html#a52b5d30a2d7b064678644a3bf49b7f6c">NumericT</a>) * L.<a class="code" href="classviennacl_1_1compressed__matrix.html#ae69ca21ded644fdd0c7a5168011b13ed">nnz</a>());</div>
<div class="line"><a name="l00136"></a><span class="lineno"> 136</span>  <a class="code" href="namespaceviennacl_1_1backend.html#a39a91fd7aa68ebf64bd7bfa409732ec0">viennacl::backend::memory_copy</a>(U_trans.<a class="code" href="classviennacl_1_1compressed__matrix.html#a87a0ad5f26983b1c2d24ee302d886562">handle</a>(), aij_U_trans.handle(), 0, 0, <span class="keyword">sizeof</span>(<a class="code" href="tests_2src_2bisect_8cpp.html#a52b5d30a2d7b064678644a3bf49b7f6c">NumericT</a>) * U_trans.<a class="code" href="classviennacl_1_1compressed__matrix.html#ae69ca21ded644fdd0c7a5168011b13ed">nnz</a>());</div>
<div class="line"><a name="l00137"></a><span class="lineno"> 137</span> </div>
<div class="line"><a name="l00138"></a><span class="lineno"> 138</span>  <span class="comment">// run sweeps:</span></div>
<div class="line"><a name="l00139"></a><span class="lineno"> 139</span>  <span class="keywordflow">for</span> (<a class="code" href="namespaceviennacl.html#a98a0afcc513111ffa0bd138f891930df">vcl_size_t</a> i=0; i<tag.<a class="code" href="classviennacl_1_1linalg_1_1chow__patel__tag.html#a646bc4b6df30814e9f64d96d9b872738">sweeps</a>(); ++i)</div>
<div class="line"><a name="l00140"></a><span class="lineno"> 140</span>  <a class="code" href="namespaceviennacl_1_1linalg.html#a81ab7c38b6358aa7c3b71b4a0bb4b55f">viennacl::linalg::ilu_chow_patel_sweep</a>(L, aij_L, U_trans, aij_U_trans);</div>
<div class="line"><a name="l00141"></a><span class="lineno"> 141</span> </div>
<div class="line"><a name="l00142"></a><span class="lineno"> 142</span>  <span class="comment">// transpose U_trans back:</span></div>
<div class="line"><a name="l00143"></a><span class="lineno"> 143</span>  <a class="code" href="namespaceviennacl_1_1linalg.html#a6ba9a2427b8985f9e6f8cb507346df5c">viennacl::linalg::ilu_transpose</a>(U_trans, U);</div>
<div class="line"><a name="l00144"></a><span class="lineno"> 144</span> </div>
<div class="line"><a name="l00145"></a><span class="lineno"> 145</span>  <span class="comment">// form (I - D_L^{-1}L) and (I - D_U^{-1} U)</span></div>
<div class="line"><a name="l00146"></a><span class="lineno"> 146</span>  <a class="code" href="namespaceviennacl_1_1linalg.html#ad9f852e45ca5d5a753db43033bf4444b">viennacl::linalg::ilu_form_neumann_matrix</a>(L, diag_L);</div>
<div class="line"><a name="l00147"></a><span class="lineno"> 147</span>  <a class="code" href="namespaceviennacl_1_1linalg.html#ad9f852e45ca5d5a753db43033bf4444b">viennacl::linalg::ilu_form_neumann_matrix</a>(U, diag_U);</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="l00150"></a><span class="lineno"> 150</span> }</div>
<div class="line"><a name="l00151"></a><span class="lineno"> 151</span> </div>
<div class="line"><a name="l00152"></a><span class="lineno"> 152</span> </div>
<div class="line"><a name="l00153"></a><span class="lineno"> 153</span> </div>
<div class="line"><a name="l00154"></a><span class="lineno"> 154</span> </div>
<div class="line"><a name="l00157"></a><span class="lineno"> 157</span> <span class="keyword">template</span><<span class="keyword">typename</span> MatrixT></div>
<div class="line"><a name="l00158"></a><span class="lineno"><a class="line" href="classviennacl_1_1linalg_1_1chow__patel__icc__precond.html"> 158</a></span> <span class="keyword">class </span><a class="code" href="classviennacl_1_1linalg_1_1chow__patel__icc__precond.html">chow_patel_icc_precond</a></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="comment">// only works with compressed_matrix!</span></div>
<div class="line"><a name="l00161"></a><span class="lineno"> 161</span>  <span class="keyword">typedef</span> <span class="keyword">typename</span> MatrixT::CHOW_PATEL_ICC_ONLY_WORKS_WITH_COMPRESSED_MATRIX error_type;</div>
<div class="line"><a name="l00162"></a><span class="lineno"> 162</span> };</div>
<div class="line"><a name="l00163"></a><span class="lineno"> 163</span> </div>
<div class="line"><a name="l00164"></a><span class="lineno"> 164</span> </div>
<div class="line"><a name="l00169"></a><span class="lineno"> 169</span> <span class="keyword">template</span><<span class="keyword">typename</span> NumericT, <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> AlignmentV></div>
<div class="line"><a name="l00170"></a><span class="lineno"><a class="line" href="classviennacl_1_1linalg_1_1chow__patel__icc__precond_3_01viennacl_1_1compressed__matrix_3_01_num12c156ca568277646db4ffa0c9da3134.html"> 170</a></span> <span class="keyword">class </span><a class="code" href="classviennacl_1_1linalg_1_1chow__patel__icc__precond.html">chow_patel_icc_precond</a>< viennacl::<a class="code" href="classviennacl_1_1compressed__matrix.html">compressed_matrix</a><NumericT, AlignmentV> ></div>
<div class="line"><a name="l00171"></a><span class="lineno"> 171</span> {</div>
<div class="line"><a name="l00172"></a><span class="lineno"> 172</span> </div>
<div class="line"><a name="l00173"></a><span class="lineno"> 173</span> <span class="keyword">public</span>:</div>
<div class="line"><a name="l00174"></a><span class="lineno"><a class="line" href="classviennacl_1_1linalg_1_1chow__patel__icc__precond_3_01viennacl_1_1compressed__matrix_3_01_num12c156ca568277646db4ffa0c9da3134.html#ab7e63959070504a664e131ea1d227c3d"> 174</a></span>  <a class="code" href="classviennacl_1_1linalg_1_1chow__patel__icc__precond_3_01viennacl_1_1compressed__matrix_3_01_num12c156ca568277646db4ffa0c9da3134.html#ab7e63959070504a664e131ea1d227c3d">chow_patel_icc_precond</a>(<a class="code" href="classviennacl_1_1compressed__matrix.html">viennacl::compressed_matrix<NumericT, AlignmentV></a> <span class="keyword">const</span> & A, <a class="code" href="classviennacl_1_1linalg_1_1chow__patel__tag.html">chow_patel_tag</a> <span class="keyword">const</span> & tag)</div>
<div class="line"><a name="l00175"></a><span class="lineno"> 175</span>  : tag_(tag),</div>
<div class="line"><a name="l00176"></a><span class="lineno"> 176</span>  L_(0, 0, 0, viennacl::traits::<a class="code" href="classviennacl_1_1context.html">context</a>(A)),</div>
<div class="line"><a name="l00177"></a><span class="lineno"> 177</span>  diag_L_(A.<a class="code" href="namespaceviennacl_1_1traits.html#aa756f5d6820722094cae0d8b9bb6d5e2">size1</a>(), viennacl::traits::<a class="code" href="classviennacl_1_1context.html">context</a>(A)),</div>
<div class="line"><a name="l00178"></a><span class="lineno"> 178</span>  L_trans_(0, 0, 0, viennacl::traits::<a class="code" href="classviennacl_1_1context.html">context</a>(A)),</div>
<div class="line"><a name="l00179"></a><span class="lineno"> 179</span>  x_k_(A.<a class="code" href="namespaceviennacl_1_1traits.html#aa756f5d6820722094cae0d8b9bb6d5e2">size1</a>(), viennacl::traits::<a class="code" href="classviennacl_1_1context.html">context</a>(A)),</div>
<div class="line"><a name="l00180"></a><span class="lineno"> 180</span>  b_(A.<a class="code" href="namespaceviennacl_1_1traits.html#aa756f5d6820722094cae0d8b9bb6d5e2">size1</a>(), viennacl::traits::<a class="code" href="classviennacl_1_1context.html">context</a>(A))</div>
<div class="line"><a name="l00181"></a><span class="lineno"> 181</span>  {</div>
<div class="line"><a name="l00182"></a><span class="lineno"> 182</span>  <a class="code" href="namespaceviennacl_1_1linalg_1_1detail.html#a006ad49a52d2d2bbe57a17732de8b236">viennacl::linalg::detail::precondition</a>(A, L_, diag_L_, L_trans_, tag_);</div>
<div class="line"><a name="l00183"></a><span class="lineno"> 183</span>  }</div>
<div class="line"><a name="l00184"></a><span class="lineno"> 184</span> </div>
<div class="line"><a name="l00189"></a><span class="lineno"> 189</span>  <span class="keyword">template</span><<span class="keyword">typename</span> VectorT></div>
<div class="line"><a name="l00190"></a><span class="lineno"><a class="line" href="classviennacl_1_1linalg_1_1chow__patel__icc__precond_3_01viennacl_1_1compressed__matrix_3_01_num12c156ca568277646db4ffa0c9da3134.html#a98abf3d671f47070691e48559adb81cf"> 190</a></span>  <span class="keywordtype">void</span> <a class="code" href="classviennacl_1_1linalg_1_1chow__patel__icc__precond_3_01viennacl_1_1compressed__matrix_3_01_num12c156ca568277646db4ffa0c9da3134.html#a98abf3d671f47070691e48559adb81cf">apply</a>(VectorT & vec)<span class="keyword"> const</span></div>
<div class="line"><a name="l00191"></a><span class="lineno"> 191</span> <span class="keyword"> </span>{</div>
<div class="line"><a name="l00192"></a><span class="lineno"> 192</span>  <span class="comment">//</span></div>
<div class="line"><a name="l00193"></a><span class="lineno"> 193</span>  <span class="comment">// y = L^{-1} b through Jacobi iteration y_{k+1} = (I - D^{-1}L)y_k + D^{-1}x</span></div>
<div class="line"><a name="l00194"></a><span class="lineno"> 194</span>  <span class="comment">//</span></div>
<div class="line"><a name="l00195"></a><span class="lineno"> 195</span>  b_ = <a class="code" href="namespaceviennacl_1_1linalg.html#a3207a7759c34cfe4e961aabadd616a13">viennacl::linalg::element_div</a>(vec, diag_L_);</div>
<div class="line"><a name="l00196"></a><span class="lineno"> 196</span>  x_k_ = b_;</div>
<div class="line"><a name="l00197"></a><span class="lineno"> 197</span>  <span class="keywordflow">for</span> (<span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> i=0; i<tag_.jacobi_iters(); ++i)</div>
<div class="line"><a name="l00198"></a><span class="lineno"> 198</span>  {</div>
<div class="line"><a name="l00199"></a><span class="lineno"> 199</span>  vec = <a class="code" href="namespaceviennacl_1_1linalg.html#aa18d10f8a90e38bd9ff43c650fc670ef">viennacl::linalg::prod</a>(L_, x_k_);</div>
<div class="line"><a name="l00200"></a><span class="lineno"> 200</span>  x_k_ = vec + b_;</div>
<div class="line"><a name="l00201"></a><span class="lineno"> 201</span>  }</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>  <span class="comment">//</span></div>
<div class="line"><a name="l00204"></a><span class="lineno"> 204</span>  <span class="comment">// x = U^{-1} y through Jacobi iteration x_{k+1} = (I - D^{-1}L^T)x_k + D^{-1}b</span></div>
<div class="line"><a name="l00205"></a><span class="lineno"> 205</span>  <span class="comment">//</span></div>
<div class="line"><a name="l00206"></a><span class="lineno"> 206</span>  b_ = <a class="code" href="namespaceviennacl_1_1linalg.html#a3207a7759c34cfe4e961aabadd616a13">viennacl::linalg::element_div</a>(x_k_, diag_L_);</div>
<div class="line"><a name="l00207"></a><span class="lineno"> 207</span>  x_k_ = b_; <span class="comment">// x_1 if x_0 \equiv 0</span></div>
<div class="line"><a name="l00208"></a><span class="lineno"> 208</span>  <span class="keywordflow">for</span> (<span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> i=0; i<tag_.jacobi_iters(); ++i)</div>
<div class="line"><a name="l00209"></a><span class="lineno"> 209</span>  {</div>
<div class="line"><a name="l00210"></a><span class="lineno"> 210</span>  vec = <a class="code" href="namespaceviennacl_1_1linalg.html#aa18d10f8a90e38bd9ff43c650fc670ef">viennacl::linalg::prod</a>(L_trans_, x_k_);</div>
<div class="line"><a name="l00211"></a><span class="lineno"> 211</span>  x_k_ = vec + b_;</div>
<div class="line"><a name="l00212"></a><span class="lineno"> 212</span>  }</div>
<div class="line"><a name="l00213"></a><span class="lineno"> 213</span> </div>
<div class="line"><a name="l00214"></a><span class="lineno"> 214</span>  <span class="comment">// return result:</span></div>
<div class="line"><a name="l00215"></a><span class="lineno"> 215</span>  vec = x_k_;</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> </div>
<div class="line"><a name="l00218"></a><span class="lineno"> 218</span> <span class="keyword">private</span>:</div>
<div class="line"><a name="l00219"></a><span class="lineno"> 219</span>  <a class="code" href="classviennacl_1_1linalg_1_1chow__patel__tag.html">chow_patel_tag</a> tag_;</div>
<div class="line"><a name="l00220"></a><span class="lineno"> 220</span>  <a class="code" href="classviennacl_1_1compressed__matrix.html">viennacl::compressed_matrix<NumericT></a> L_;</div>
<div class="line"><a name="l00221"></a><span class="lineno"> 221</span>  <a class="code" href="classviennacl_1_1vector.html">viennacl::vector<NumericT></a> diag_L_;</div>
<div class="line"><a name="l00222"></a><span class="lineno"> 222</span>  <a class="code" href="classviennacl_1_1compressed__matrix.html">viennacl::compressed_matrix<NumericT></a> L_trans_;</div>
<div class="line"><a name="l00223"></a><span class="lineno"> 223</span> </div>
<div class="line"><a name="l00224"></a><span class="lineno"> 224</span>  <span class="keyword">mutable</span> <a class="code" href="classviennacl_1_1vector.html">viennacl::vector<NumericT></a> x_k_;</div>
<div class="line"><a name="l00225"></a><span class="lineno"> 225</span>  <span class="keyword">mutable</span> <a class="code" href="classviennacl_1_1vector.html">viennacl::vector<NumericT></a> b_;</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> </div>
<div class="line"><a name="l00228"></a><span class="lineno"> 228</span> </div>
<div class="line"><a name="l00229"></a><span class="lineno"> 229</span> </div>
<div class="line"><a name="l00230"></a><span class="lineno"> 230</span> </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> </div>
<div class="line"><a name="l00235"></a><span class="lineno"> 235</span> <span class="keyword">template</span><<span class="keyword">typename</span> MatrixT></div>
<div class="line"><a name="l00236"></a><span class="lineno"><a class="line" href="classviennacl_1_1linalg_1_1chow__patel__ilu__precond.html"> 236</a></span> <span class="keyword">class </span><a class="code" href="classviennacl_1_1linalg_1_1chow__patel__ilu__precond.html">chow_patel_ilu_precond</a></div>
<div class="line"><a name="l00237"></a><span class="lineno"> 237</span> {</div>
<div class="line"><a name="l00238"></a><span class="lineno"> 238</span>  <span class="comment">// only works with compressed_matrix!</span></div>
<div class="line"><a name="l00239"></a><span class="lineno"> 239</span>  <span class="keyword">typedef</span> <span class="keyword">typename</span> MatrixT::CHOW_PATEL_ILU_ONLY_WORKS_WITH_COMPRESSED_MATRIX error_type;</div>
<div class="line"><a name="l00240"></a><span class="lineno"> 240</span> };</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="l00247"></a><span class="lineno"> 247</span> <span class="keyword">template</span><<span class="keyword">typename</span> NumericT, <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> AlignmentV></div>
<div class="line"><a name="l00248"></a><span class="lineno"><a class="line" href="classviennacl_1_1linalg_1_1chow__patel__ilu__precond_3_01viennacl_1_1compressed__matrix_3_01_num1d4c01a16bf6e4ce8c15fcd9140c68ca.html"> 248</a></span> <span class="keyword">class </span><a class="code" href="classviennacl_1_1linalg_1_1chow__patel__ilu__precond.html">chow_patel_ilu_precond</a>< viennacl::<a class="code" href="classviennacl_1_1compressed__matrix.html">compressed_matrix</a><NumericT, AlignmentV> ></div>
<div class="line"><a name="l00249"></a><span class="lineno"> 249</span> {</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">public</span>:</div>
<div class="line"><a name="l00252"></a><span class="lineno"><a class="line" href="classviennacl_1_1linalg_1_1chow__patel__ilu__precond_3_01viennacl_1_1compressed__matrix_3_01_num1d4c01a16bf6e4ce8c15fcd9140c68ca.html#a75b0c4e1bba081c2777a13ed606da23a"> 252</a></span>  <a class="code" href="classviennacl_1_1linalg_1_1chow__patel__ilu__precond_3_01viennacl_1_1compressed__matrix_3_01_num1d4c01a16bf6e4ce8c15fcd9140c68ca.html#a75b0c4e1bba081c2777a13ed606da23a">chow_patel_ilu_precond</a>(<a class="code" href="classviennacl_1_1compressed__matrix.html">viennacl::compressed_matrix<NumericT, AlignmentV></a> <span class="keyword">const</span> & A, <a class="code" href="classviennacl_1_1linalg_1_1chow__patel__tag.html">chow_patel_tag</a> <span class="keyword">const</span> & tag)</div>
<div class="line"><a name="l00253"></a><span class="lineno"> 253</span>  : tag_(tag),</div>
<div class="line"><a name="l00254"></a><span class="lineno"> 254</span>  L_(0, 0, 0, viennacl::traits::<a class="code" href="classviennacl_1_1context.html">context</a>(A)),</div>
<div class="line"><a name="l00255"></a><span class="lineno"> 255</span>  diag_L_(A.<a class="code" href="namespaceviennacl_1_1traits.html#aa756f5d6820722094cae0d8b9bb6d5e2">size1</a>(), viennacl::traits::<a class="code" href="classviennacl_1_1context.html">context</a>(A)),</div>
<div class="line"><a name="l00256"></a><span class="lineno"> 256</span>  U_(0, 0, 0, viennacl::traits::<a class="code" href="classviennacl_1_1context.html">context</a>(A)),</div>
<div class="line"><a name="l00257"></a><span class="lineno"> 257</span>  diag_U_(A.<a class="code" href="namespaceviennacl_1_1traits.html#aa756f5d6820722094cae0d8b9bb6d5e2">size1</a>(), viennacl::traits::<a class="code" href="classviennacl_1_1context.html">context</a>(A)),</div>
<div class="line"><a name="l00258"></a><span class="lineno"> 258</span>  x_k_(A.<a class="code" href="namespaceviennacl_1_1traits.html#aa756f5d6820722094cae0d8b9bb6d5e2">size1</a>(), viennacl::traits::<a class="code" href="classviennacl_1_1context.html">context</a>(A)),</div>
<div class="line"><a name="l00259"></a><span class="lineno"> 259</span>  b_(A.<a class="code" href="namespaceviennacl_1_1traits.html#aa756f5d6820722094cae0d8b9bb6d5e2">size1</a>(), viennacl::traits::<a class="code" href="classviennacl_1_1context.html">context</a>(A))</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>  <a class="code" href="namespaceviennacl_1_1linalg_1_1detail.html#a006ad49a52d2d2bbe57a17732de8b236">viennacl::linalg::detail::precondition</a>(A, L_, diag_L_, U_, diag_U_, tag_);</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> </div>
<div class="line"><a name="l00268"></a><span class="lineno"> 268</span>  <span class="keyword">template</span><<span class="keyword">typename</span> VectorT></div>
<div class="line"><a name="l00269"></a><span class="lineno"><a class="line" href="classviennacl_1_1linalg_1_1chow__patel__ilu__precond_3_01viennacl_1_1compressed__matrix_3_01_num1d4c01a16bf6e4ce8c15fcd9140c68ca.html#af4ae9dfb90facc1d965e4e8c42157a94"> 269</a></span>  <span class="keywordtype">void</span> <a class="code" href="classviennacl_1_1linalg_1_1chow__patel__ilu__precond_3_01viennacl_1_1compressed__matrix_3_01_num1d4c01a16bf6e4ce8c15fcd9140c68ca.html#af4ae9dfb90facc1d965e4e8c42157a94">apply</a>(VectorT & vec)<span class="keyword"> const</span></div>
<div class="line"><a name="l00270"></a><span class="lineno"> 270</span> <span class="keyword"> </span>{</div>
<div class="line"><a name="l00271"></a><span class="lineno"> 271</span>  <span class="comment">//</span></div>
<div class="line"><a name="l00272"></a><span class="lineno"> 272</span>  <span class="comment">// y = L^{-1} b through Jacobi iteration y_{k+1} = (I - D^{-1}L)y_k + D^{-1}x</span></div>
<div class="line"><a name="l00273"></a><span class="lineno"> 273</span>  <span class="comment">//</span></div>
<div class="line"><a name="l00274"></a><span class="lineno"> 274</span>  b_ = <a class="code" href="namespaceviennacl_1_1linalg.html#a3207a7759c34cfe4e961aabadd616a13">viennacl::linalg::element_div</a>(vec, diag_L_);</div>
<div class="line"><a name="l00275"></a><span class="lineno"> 275</span>  x_k_ = b_;</div>
<div class="line"><a name="l00276"></a><span class="lineno"> 276</span>  <span class="keywordflow">for</span> (<span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> i=0; i<tag_.jacobi_iters(); ++i)</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>  vec = <a class="code" href="namespaceviennacl_1_1linalg.html#aa18d10f8a90e38bd9ff43c650fc670ef">viennacl::linalg::prod</a>(L_, x_k_);</div>
<div class="line"><a name="l00279"></a><span class="lineno"> 279</span>  x_k_ = vec + b_;</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>  <span class="comment">//</span></div>
<div class="line"><a name="l00283"></a><span class="lineno"> 283</span>  <span class="comment">// x = U^{-1} y through Jacobi iteration x_{k+1} = (I - D^{-1}U)x_k + D^{-1}b</span></div>
<div class="line"><a name="l00284"></a><span class="lineno"> 284</span>  <span class="comment">//</span></div>
<div class="line"><a name="l00285"></a><span class="lineno"> 285</span>  b_ = <a class="code" href="namespaceviennacl_1_1linalg.html#a3207a7759c34cfe4e961aabadd616a13">viennacl::linalg::element_div</a>(x_k_, diag_U_);</div>
<div class="line"><a name="l00286"></a><span class="lineno"> 286</span>  x_k_ = b_; <span class="comment">// x_1 if x_0 \equiv 0</span></div>
<div class="line"><a name="l00287"></a><span class="lineno"> 287</span>  <span class="keywordflow">for</span> (<span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> i=0; i<tag_.jacobi_iters(); ++i)</div>
<div class="line"><a name="l00288"></a><span class="lineno"> 288</span>  {</div>
<div class="line"><a name="l00289"></a><span class="lineno"> 289</span>  vec = <a class="code" href="namespaceviennacl_1_1linalg.html#aa18d10f8a90e38bd9ff43c650fc670ef">viennacl::linalg::prod</a>(U_, x_k_);</div>
<div class="line"><a name="l00290"></a><span class="lineno"> 290</span>  x_k_ = vec + b_;</div>
<div class="line"><a name="l00291"></a><span class="lineno"> 291</span>  }</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>  <span class="comment">// return result:</span></div>
<div class="line"><a name="l00294"></a><span class="lineno"> 294</span>  vec = x_k_;</div>
<div class="line"><a name="l00295"></a><span class="lineno"> 295</span>  }</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> <span class="keyword">private</span>:</div>
<div class="line"><a name="l00298"></a><span class="lineno"> 298</span>  <a class="code" href="classviennacl_1_1linalg_1_1chow__patel__tag.html">chow_patel_tag</a> tag_;</div>
<div class="line"><a name="l00299"></a><span class="lineno"> 299</span>  <a class="code" href="classviennacl_1_1compressed__matrix.html">viennacl::compressed_matrix<NumericT></a> L_;</div>
<div class="line"><a name="l00300"></a><span class="lineno"> 300</span>  <a class="code" href="classviennacl_1_1vector.html">viennacl::vector<NumericT></a> diag_L_;</div>
<div class="line"><a name="l00301"></a><span class="lineno"> 301</span>  <a class="code" href="classviennacl_1_1compressed__matrix.html">viennacl::compressed_matrix<NumericT></a> U_;</div>
<div class="line"><a name="l00302"></a><span class="lineno"> 302</span>  <a class="code" href="classviennacl_1_1vector.html">viennacl::vector<NumericT></a> diag_U_;</div>
<div class="line"><a name="l00303"></a><span class="lineno"> 303</span> </div>
<div class="line"><a name="l00304"></a><span class="lineno"> 304</span>  <span class="keyword">mutable</span> <a class="code" href="classviennacl_1_1vector.html">viennacl::vector<NumericT></a> x_k_;</div>
<div class="line"><a name="l00305"></a><span class="lineno"> 305</span>  <span class="keyword">mutable</span> <a class="code" href="classviennacl_1_1vector.html">viennacl::vector<NumericT></a> b_;</div>
<div class="line"><a name="l00306"></a><span class="lineno"> 306</span> };</div>
<div class="line"><a name="l00307"></a><span class="lineno"> 307</span> </div>
<div class="line"><a name="l00308"></a><span class="lineno"> 308</span> </div>
<div class="line"><a name="l00309"></a><span class="lineno"> 309</span> } <span class="comment">// namespace linalg</span></div>
<div class="line"><a name="l00310"></a><span class="lineno"> 310</span> } <span class="comment">// namespace viennacl</span></div>
<div class="line"><a name="l00311"></a><span class="lineno"> 311</span> </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> <span class="preprocessor">#endif</span></div>
<div class="line"><a name="l00314"></a><span class="lineno"> 314</span> </div>
<div class="line"><a name="l00315"></a><span class="lineno"> 315</span> </div>
<div class="line"><a name="l00316"></a><span class="lineno"> 316</span> </div>
<div class="ttc" id="classviennacl_1_1compressed__matrix_html_a4fc12fc4abfef4a1426575a2d73f18ab"><div class="ttname"><a href="classviennacl_1_1compressed__matrix.html#a4fc12fc4abfef4a1426575a2d73f18ab">viennacl::compressed_matrix::size2</a></div><div class="ttdeci">const vcl_size_t & size2() const </div><div class="ttdoc">Returns the number of columns. </div><div class="ttdef"><b>Definition:</b> <a href="compressed__matrix_8hpp_source.html#l00929">compressed_matrix.hpp:929</a></div></div>
<div class="ttc" id="classviennacl_1_1linalg_1_1chow__patel__icc__precond_3_01viennacl_1_1compressed__matrix_3_01_num12c156ca568277646db4ffa0c9da3134_html_a98abf3d671f47070691e48559adb81cf"><div class="ttname"><a href="classviennacl_1_1linalg_1_1chow__patel__icc__precond_3_01viennacl_1_1compressed__matrix_3_01_num12c156ca568277646db4ffa0c9da3134.html#a98abf3d671f47070691e48559adb81cf">viennacl::linalg::chow_patel_icc_precond< viennacl::compressed_matrix< NumericT, AlignmentV > >::apply</a></div><div class="ttdeci">void apply(VectorT &vec) const </div><div class="ttdoc">Preconditioner application: LL^Tx = b, computed via Ly = b, L^Tx = y using Jacobi iterations...</div><div class="ttdef"><b>Definition:</b> <a href="chow__patel__ilu_8hpp_source.html#l00190">chow_patel_ilu.hpp:190</a></div></div>
<div class="ttc" id="namespaceviennacl_1_1linalg_html_a3207a7759c34cfe4e961aabadd616a13"><div class="ttname"><a href="namespaceviennacl_1_1linalg.html#a3207a7759c34cfe4e961aabadd616a13">viennacl::linalg::element_div</a></div><div class="ttdeci">viennacl::vector_expression< const vector_base< T >, const vector_base< T >, op_element_binary< op_div > > element_div(vector_base< T > const &v1, vector_base< T > const &v2)</div></div>
<div class="ttc" id="classviennacl_1_1linalg_1_1chow__patel__tag_html"><div class="ttname"><a href="classviennacl_1_1linalg_1_1chow__patel__tag.html">viennacl::linalg::chow_patel_tag</a></div><div class="ttdoc">A tag for incomplete LU and incomplete Cholesky factorization with static pattern (Parallel-ILU0...</div><div class="ttdef"><b>Definition:</b> <a href="chow__patel__ilu_8hpp_source.html#l00044">chow_patel_ilu.hpp:44</a></div></div>
<div class="ttc" id="classviennacl_1_1linalg_1_1chow__patel__tag_html_ac481d0e7a28ee1c4ec83e70877329aba"><div class="ttname"><a href="classviennacl_1_1linalg_1_1chow__patel__tag.html#ac481d0e7a28ee1c4ec83e70877329aba">viennacl::linalg::chow_patel_tag::jacobi_iters</a></div><div class="ttdeci">void jacobi_iters(vcl_size_t num)</div><div class="ttdoc">Sets the number of Jacobi iterations for each triangular 'solve' when applying the preconditioner to ...</div><div class="ttdef"><b>Definition:</b> <a href="chow__patel__ilu_8hpp_source.html#l00062">chow_patel_ilu.hpp:62</a></div></div>
<div class="ttc" id="classviennacl_1_1compressed__matrix_html_a463cf1739f9cdd387aa185cb574db183"><div class="ttname"><a href="classviennacl_1_1compressed__matrix.html#a463cf1739f9cdd387aa185cb574db183">viennacl::compressed_matrix::size1</a></div><div class="ttdeci">const vcl_size_t & size1() const </div><div class="ttdoc">Returns the number of rows. </div><div class="ttdef"><b>Definition:</b> <a href="compressed__matrix_8hpp_source.html#l00927">compressed_matrix.hpp:927</a></div></div>
<div class="ttc" id="prod_8hpp_html"><div class="ttname"><a href="prod_8hpp.html">prod.hpp</a></div><div class="ttdoc">Generic interface for matrix-vector and matrix-matrix products. See viennacl/linalg/vector_operations...</div></div>
<div class="ttc" id="tools_8hpp_html"><div class="ttname"><a href="tools_8hpp.html">tools.hpp</a></div><div class="ttdoc">Various little tools used here and there in ViennaCL. </div></div>
<div class="ttc" id="namespaceviennacl_1_1traits_html_aa756f5d6820722094cae0d8b9bb6d5e2"><div class="ttname"><a href="namespaceviennacl_1_1traits.html#aa756f5d6820722094cae0d8b9bb6d5e2">viennacl::traits::size1</a></div><div class="ttdeci">vcl_size_t size1(MatrixType const &mat)</div><div class="ttdoc">Generic routine for obtaining the number of rows of a matrix (ViennaCL, uBLAS, etc.) </div><div class="ttdef"><b>Definition:</b> <a href="size_8hpp_source.html#l00163">size.hpp:163</a></div></div>
<div class="ttc" id="namespaceviennacl_1_1linalg_html_afe38139ef1b1fa4581104998c73ec424"><div class="ttname"><a href="namespaceviennacl_1_1linalg.html#afe38139ef1b1fa4581104998c73ec424">viennacl::linalg::extract_L</a></div><div class="ttdeci">void extract_L(compressed_matrix< NumericT > const &A, compressed_matrix< NumericT > &L)</div><div class="ttdoc">Extracts the lower triangular part L from A. </div><div class="ttdef"><b>Definition:</b> <a href="ilu__operations_8hpp_source.html#l00056">ilu_operations.hpp:56</a></div></div>
<div class="ttc" id="namespaceviennacl_1_1linalg_html_a81ab7c38b6358aa7c3b71b4a0bb4b55f"><div class="ttname"><a href="namespaceviennacl_1_1linalg.html#a81ab7c38b6358aa7c3b71b4a0bb4b55f">viennacl::linalg::ilu_chow_patel_sweep</a></div><div class="ttdeci">void ilu_chow_patel_sweep(compressed_matrix< NumericT > &L, vector< NumericT > const &aij_L, compressed_matrix< NumericT > &U_trans, vector< NumericT > const &aij_U_trans)</div><div class="ttdoc">Performs one nonlinear relaxation step in the Chow-Patel-ILU (cf. Algorithm 2 in paper) ...</div><div class="ttdef"><b>Definition:</b> <a href="ilu__operations_8hpp_source.html#l00272">ilu_operations.hpp:272</a></div></div>
<div class="ttc" id="forwards_8h_html"><div class="ttname"><a href="forwards_8h.html">forwards.h</a></div><div class="ttdoc">This file provides the forward declarations for the main types used within ViennaCL. </div></div>
<div class="ttc" id="classviennacl_1_1linalg_1_1chow__patel__icc__precond_html"><div class="ttname"><a href="classviennacl_1_1linalg_1_1chow__patel__icc__precond.html">viennacl::linalg::chow_patel_icc_precond</a></div><div class="ttdoc">Parallel Chow-Patel ILU preconditioner class, can be supplied to solve()-routines. </div><div class="ttdef"><b>Definition:</b> <a href="chow__patel__ilu_8hpp_source.html#l00158">chow_patel_ilu.hpp:158</a></div></div>
<div class="ttc" id="classviennacl_1_1linalg_1_1chow__patel__tag_html_aef5eebaa9746d61f5155275f706b35bb"><div class="ttname"><a href="classviennacl_1_1linalg_1_1chow__patel__tag.html#aef5eebaa9746d61f5155275f706b35bb">viennacl::linalg::chow_patel_tag::sweeps</a></div><div class="ttdeci">void sweeps(vcl_size_t num)</div><div class="ttdoc">Sets the number of sweeps (i.e. number of nonlinear iterations) in the solver setup stage...</div><div class="ttdef"><b>Definition:</b> <a href="chow__patel__ilu_8hpp_source.html#l00057">chow_patel_ilu.hpp:57</a></div></div>
<div class="ttc" id="classviennacl_1_1compressed__matrix_html_a87a0ad5f26983b1c2d24ee302d886562"><div class="ttname"><a href="classviennacl_1_1compressed__matrix.html#a87a0ad5f26983b1c2d24ee302d886562">viennacl::compressed_matrix::handle</a></div><div class="ttdeci">const handle_type & handle() const </div><div class="ttdoc">Returns the OpenCL handle to the matrix entry array. </div><div class="ttdef"><b>Definition:</b> <a href="compressed__matrix_8hpp_source.html#l00942">compressed_matrix.hpp:942</a></div></div>
<div class="ttc" id="classviennacl_1_1compressed__matrix_html_ae69ca21ded644fdd0c7a5168011b13ed"><div class="ttname"><a href="classviennacl_1_1compressed__matrix.html#ae69ca21ded644fdd0c7a5168011b13ed">viennacl::compressed_matrix::nnz</a></div><div class="ttdeci">const vcl_size_t & nnz() const </div><div class="ttdoc">Returns the number of nonzero entries. </div><div class="ttdef"><b>Definition:</b> <a href="compressed__matrix_8hpp_source.html#l00931">compressed_matrix.hpp:931</a></div></div>
<div class="ttc" id="tests_2src_2bisect_8cpp_html_a52b5d30a2d7b064678644a3bf49b7f6c"><div class="ttname"><a href="tests_2src_2bisect_8cpp.html#a52b5d30a2d7b064678644a3bf49b7f6c">NumericT</a></div><div class="ttdeci">float NumericT</div><div class="ttdef"><b>Definition:</b> <a href="tests_2src_2bisect_8cpp_source.html#l00040">bisect.cpp:40</a></div></div>
<div class="ttc" id="classviennacl_1_1context_html"><div class="ttname"><a href="classviennacl_1_1context.html">viennacl::context</a></div><div class="ttdoc">Represents a generic 'context' similar to an OpenCL context, but is backend-agnostic and thus also su...</div><div class="ttdef"><b>Definition:</b> <a href="context_8hpp_source.html#l00039">context.hpp:39</a></div></div>
<div class="ttc" id="ilu__operations_8hpp_html"><div class="ttname"><a href="ilu__operations_8hpp.html">ilu_operations.hpp</a></div><div class="ttdoc">Implementations of specialized routines for the Chow-Patel parallel ILU preconditioner. </div></div>
<div class="ttc" id="classviennacl_1_1linalg_1_1chow__patel__tag_html_a646bc4b6df30814e9f64d96d9b872738"><div class="ttname"><a href="classviennacl_1_1linalg_1_1chow__patel__tag.html#a646bc4b6df30814e9f64d96d9b872738">viennacl::linalg::chow_patel_tag::sweeps</a></div><div class="ttdeci">vcl_size_t sweeps() const </div><div class="ttdoc">Returns the number of sweeps (i.e. number of nonlinear iterations) in the solver setup stage...</div><div class="ttdef"><b>Definition:</b> <a href="chow__patel__ilu_8hpp_source.html#l00055">chow_patel_ilu.hpp:55</a></div></div>
<div class="ttc" id="namespaceviennacl_1_1linalg_html_aa18d10f8a90e38bd9ff43c650fc670ef"><div class="ttname"><a href="namespaceviennacl_1_1linalg.html#aa18d10f8a90e38bd9ff43c650fc670ef">viennacl::linalg::prod</a></div><div class="ttdeci">VectorT prod(std::vector< std::vector< T, A1 >, A2 > const &matrix, VectorT const &vector)</div><div class="ttdef"><b>Definition:</b> <a href="prod_8hpp_source.html#l00102">prod.hpp:102</a></div></div>
<div class="ttc" id="classviennacl_1_1linalg_1_1chow__patel__tag_html_aba43bb63c0169b6b9504677337d57218"><div class="ttname"><a href="classviennacl_1_1linalg_1_1chow__patel__tag.html#aba43bb63c0169b6b9504677337d57218">viennacl::linalg::chow_patel_tag::chow_patel_tag</a></div><div class="ttdeci">chow_patel_tag(vcl_size_t num_sweeps=3, vcl_size_t num_jacobi_iters=2)</div><div class="ttdoc">Constructor allowing to set the number of sweeps and Jacobi iterations. </div><div class="ttdef"><b>Definition:</b> <a href="chow__patel__ilu_8hpp_source.html#l00052">chow_patel_ilu.hpp:52</a></div></div>
<div class="ttc" id="namespaceviennacl_1_1linalg_html_ad3d5695fc60367c6d3240ba6d693c015"><div class="ttname"><a href="namespaceviennacl_1_1linalg.html#ad3d5695fc60367c6d3240ba6d693c015">viennacl::linalg::icc_scale</a></div><div class="ttdeci">void icc_scale(compressed_matrix< NumericT > const &A, compressed_matrix< NumericT > &L)</div><div class="ttdoc">Scales the values extracted from A such that A' = DAD has unit diagonal. Updates values from A in L a...</div><div class="ttdef"><b>Definition:</b> <a href="ilu__operations_8hpp_source.html#l00087">ilu_operations.hpp:87</a></div></div>
<div class="ttc" id="namespaceviennacl_1_1linalg_html_aa9dd52d566f9dbb5fad53131f294fd6e"><div class="ttname"><a href="namespaceviennacl_1_1linalg.html#aa9dd52d566f9dbb5fad53131f294fd6e">viennacl::linalg::ilu_scale</a></div><div class="ttdeci">void ilu_scale(compressed_matrix< NumericT > const &A, compressed_matrix< NumericT > &L, compressed_matrix< NumericT > &U)</div><div class="ttdoc">Scales the values extracted from A such that A' = DAD has unit diagonal. Updates values from A in L a...</div><div class="ttdef"><b>Definition:</b> <a href="ilu__operations_8hpp_source.html#l00188">ilu_operations.hpp:188</a></div></div>
<div class="ttc" id="namespaceviennacl_1_1linalg_html_a61379d44e4a0d7a05f0b327424796ca1"><div class="ttname"><a href="namespaceviennacl_1_1linalg.html#a61379d44e4a0d7a05f0b327424796ca1">viennacl::linalg::extract_LU</a></div><div class="ttdeci">void extract_LU(compressed_matrix< NumericT > const &A, compressed_matrix< NumericT > &L, compressed_matrix< NumericT > &U)</div><div class="ttdoc">Extracts the lower triangular part L and the upper triangular part U from A. </div><div class="ttdef"><b>Definition:</b> <a href="ilu__operations_8hpp_source.html#l00156">ilu_operations.hpp:156</a></div></div>
<div class="ttc" id="classviennacl_1_1linalg_1_1chow__patel__icc__precond_3_01viennacl_1_1compressed__matrix_3_01_num12c156ca568277646db4ffa0c9da3134_html_ab7e63959070504a664e131ea1d227c3d"><div class="ttname"><a href="classviennacl_1_1linalg_1_1chow__patel__icc__precond_3_01viennacl_1_1compressed__matrix_3_01_num12c156ca568277646db4ffa0c9da3134.html#ab7e63959070504a664e131ea1d227c3d">viennacl::linalg::chow_patel_icc_precond< viennacl::compressed_matrix< NumericT, AlignmentV > >::chow_patel_icc_precond</a></div><div class="ttdeci">chow_patel_icc_precond(viennacl::compressed_matrix< NumericT, AlignmentV > const &A, chow_patel_tag const &tag)</div><div class="ttdef"><b>Definition:</b> <a href="chow__patel__ilu_8hpp_source.html#l00174">chow_patel_ilu.hpp:174</a></div></div>
<div class="ttc" id="namespaceviennacl_html_a98a0afcc513111ffa0bd138f891930df"><div class="ttname"><a href="namespaceviennacl.html#a98a0afcc513111ffa0bd138f891930df">viennacl::vcl_size_t</a></div><div class="ttdeci">std::size_t vcl_size_t</div><div class="ttdef"><b>Definition:</b> <a href="forwards_8h_source.html#l00075">forwards.h:75</a></div></div>
<div class="ttc" id="classviennacl_1_1vector_html"><div class="ttname"><a href="classviennacl_1_1vector.html">viennacl::vector< NumericT ></a></div></div>
<div class="ttc" id="namespaceviennacl_1_1linalg_html_ad9f852e45ca5d5a753db43033bf4444b"><div class="ttname"><a href="namespaceviennacl_1_1linalg.html#ad9f852e45ca5d5a753db43033bf4444b">viennacl::linalg::ilu_form_neumann_matrix</a></div><div class="ttdeci">void ilu_form_neumann_matrix(compressed_matrix< NumericT > &R, vector< NumericT > &diag_R)</div><div class="ttdoc">Extracts the lower triangular part L and the upper triangular part U from A. </div><div class="ttdef"><b>Definition:</b> <a href="ilu__operations_8hpp_source.html#l00305">ilu_operations.hpp:305</a></div></div>
<div class="ttc" id="namespaceviennacl_1_1linalg_html_a6ba9a2427b8985f9e6f8cb507346df5c"><div class="ttname"><a href="namespaceviennacl_1_1linalg.html#a6ba9a2427b8985f9e6f8cb507346df5c">viennacl::linalg::ilu_transpose</a></div><div class="ttdeci">void ilu_transpose(compressed_matrix< NumericT > const &A, compressed_matrix< NumericT > &B)</div><div class="ttdoc">Transposition B <- A^T, where the aij-vector is permuted in the same way as the value array in A when...</div><div class="ttdef"><b>Definition:</b> <a href="ilu__operations_8hpp_source.html#l00220">ilu_operations.hpp:220</a></div></div>
<div class="ttc" id="namespaceviennacl_1_1backend_html_a39a91fd7aa68ebf64bd7bfa409732ec0"><div class="ttname"><a href="namespaceviennacl_1_1backend.html#a39a91fd7aa68ebf64bd7bfa409732ec0">viennacl::backend::memory_copy</a></div><div class="ttdeci">void memory_copy(mem_handle const &src_buffer, mem_handle &dst_buffer, vcl_size_t src_offset, vcl_size_t dst_offset, vcl_size_t bytes_to_copy)</div><div class="ttdoc">Copies 'bytes_to_copy' bytes from address 'src_buffer + src_offset' to memory starting at address 'ds...</div><div class="ttdef"><b>Definition:</b> <a href="memory_8hpp_source.html#l00140">memory.hpp:140</a></div></div>
<div class="ttc" id="namespaceviennacl_1_1traits_html_a6707f5dab8f482170d2046a605f46ef8"><div class="ttname"><a href="namespaceviennacl_1_1traits.html#a6707f5dab8f482170d2046a605f46ef8">viennacl::traits::context</a></div><div class="ttdeci">viennacl::context context(T const &t)</div><div class="ttdoc">Returns an ID for the currently active memory domain of an object. </div><div class="ttdef"><b>Definition:</b> <a href="traits_2context_8hpp_source.html#l00040">context.hpp:40</a></div></div>
<div class="ttc" id="namespaceviennacl_1_1linalg_html_a15fb87042a449e9544121d6f3e004fd0"><div class="ttname"><a href="namespaceviennacl_1_1linalg.html#a15fb87042a449e9544121d6f3e004fd0">viennacl::linalg::icc_chow_patel_sweep</a></div><div class="ttdeci">void icc_chow_patel_sweep(compressed_matrix< NumericT > &L, vector< NumericT > &aij_L)</div><div class="ttdoc">Performs one nonlinear relaxation step in the Chow-Patel-ICC (cf. Algorithm 3 in paper, but for L rather than U) </div><div class="ttdef"><b>Definition:</b> <a href="ilu__operations_8hpp_source.html#l00121">ilu_operations.hpp:121</a></div></div>
<div class="ttc" id="classviennacl_1_1compressed__matrix_html"><div class="ttname"><a href="classviennacl_1_1compressed__matrix.html">viennacl::compressed_matrix< NumericT ></a></div></div>
<div class="ttc" id="linalg_2detail_2ilu_2common_8hpp_html"><div class="ttname"><a href="linalg_2detail_2ilu_2common_8hpp.html">common.hpp</a></div><div class="ttdoc">Common routines used within ILU-type preconditioners. </div></div>
<div class="ttc" id="namespaceviennacl_1_1linalg_1_1detail_html_a006ad49a52d2d2bbe57a17732de8b236"><div class="ttname"><a href="namespaceviennacl_1_1linalg_1_1detail.html#a006ad49a52d2d2bbe57a17732de8b236">viennacl::linalg::detail::precondition</a></div><div class="ttdeci">void precondition(viennacl::compressed_matrix< NumericT > const &A, viennacl::compressed_matrix< NumericT > &L, viennacl::vector< NumericT > &diag_L, viennacl::compressed_matrix< NumericT > &L_trans, chow_patel_tag const &tag)</div><div class="ttdoc">Implementation of the parallel ICC0 factorization, Algorithm 3 in Chow-Patel paper. </div><div class="ttdef"><b>Definition:</b> <a href="chow__patel__ilu_8hpp_source.html#l00077">chow_patel_ilu.hpp:77</a></div></div>
<div class="ttc" id="classviennacl_1_1compressed__matrix_html_afcf49945a63836e1edfca536fcd191fb"><div class="ttname"><a href="classviennacl_1_1compressed__matrix.html#afcf49945a63836e1edfca536fcd191fb">viennacl::compressed_matrix::resize</a></div><div class="ttdeci">void resize(vcl_size_t new_size1, vcl_size_t new_size2, bool preserve=true)</div><div class="ttdoc">Resize the matrix. </div><div class="ttdef"><b>Definition:</b> <a href="compressed__matrix_8hpp_source.html#l00829">compressed_matrix.hpp:829</a></div></div>
<div class="ttc" id="classviennacl_1_1linalg_1_1chow__patel__ilu__precond_html"><div class="ttname"><a href="classviennacl_1_1linalg_1_1chow__patel__ilu__precond.html">viennacl::linalg::chow_patel_ilu_precond</a></div><div class="ttdoc">Parallel Chow-Patel ILU preconditioner class, can be supplied to solve()-routines. </div><div class="ttdef"><b>Definition:</b> <a href="chow__patel__ilu_8hpp_source.html#l00236">chow_patel_ilu.hpp:236</a></div></div>
<div class="ttc" id="memory_8hpp_html"><div class="ttname"><a href="memory_8hpp.html">memory.hpp</a></div><div class="ttdoc">Main interface routines for memory management. </div></div>
<div class="ttc" id="classviennacl_1_1linalg_1_1chow__patel__ilu__precond_3_01viennacl_1_1compressed__matrix_3_01_num1d4c01a16bf6e4ce8c15fcd9140c68ca_html_af4ae9dfb90facc1d965e4e8c42157a94"><div class="ttname"><a href="classviennacl_1_1linalg_1_1chow__patel__ilu__precond_3_01viennacl_1_1compressed__matrix_3_01_num1d4c01a16bf6e4ce8c15fcd9140c68ca.html#af4ae9dfb90facc1d965e4e8c42157a94">viennacl::linalg::chow_patel_ilu_precond< viennacl::compressed_matrix< NumericT, AlignmentV > >::apply</a></div><div class="ttdeci">void apply(VectorT &vec) const </div><div class="ttdoc">Preconditioner application: LUx = b, computed via Ly = b, Ux = y using Jacobi iterations. </div><div class="ttdef"><b>Definition:</b> <a href="chow__patel__ilu_8hpp_source.html#l00269">chow_patel_ilu.hpp:269</a></div></div>
<div class="ttc" id="classviennacl_1_1linalg_1_1chow__patel__tag_html_a57b522b1e889fe09b1e5b9ed47b7e036"><div class="ttname"><a href="classviennacl_1_1linalg_1_1chow__patel__tag.html#a57b522b1e889fe09b1e5b9ed47b7e036">viennacl::linalg::chow_patel_tag::jacobi_iters</a></div><div class="ttdeci">vcl_size_t jacobi_iters() const </div><div class="ttdoc">Returns the number of Jacobi iterations (i.e. applications of x_{k+1} = (I - D^{-1}R)x_k + D^{-1} b) ...</div><div class="ttdef"><b>Definition:</b> <a href="chow__patel__ilu_8hpp_source.html#l00060">chow_patel_ilu.hpp:60</a></div></div>
<div class="ttc" id="classviennacl_1_1linalg_1_1chow__patel__ilu__precond_3_01viennacl_1_1compressed__matrix_3_01_num1d4c01a16bf6e4ce8c15fcd9140c68ca_html_a75b0c4e1bba081c2777a13ed606da23a"><div class="ttname"><a href="classviennacl_1_1linalg_1_1chow__patel__ilu__precond_3_01viennacl_1_1compressed__matrix_3_01_num1d4c01a16bf6e4ce8c15fcd9140c68ca.html#a75b0c4e1bba081c2777a13ed606da23a">viennacl::linalg::chow_patel_ilu_precond< viennacl::compressed_matrix< NumericT, AlignmentV > >::chow_patel_ilu_precond</a></div><div class="ttdeci">chow_patel_ilu_precond(viennacl::compressed_matrix< NumericT, AlignmentV > const &A, chow_patel_tag const &tag)</div><div class="ttdef"><b>Definition:</b> <a href="chow__patel__ilu_8hpp_source.html#l00252">chow_patel_ilu.hpp:252</a></div></div>
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