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<div class="title">amg.hpp</div> </div>
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<a href="amg_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_AMG_HPP_</span></div>
<div class="line"><a name="l00002"></a><span class="lineno"> 2</span> <span class="preprocessor">#define VIENNACL_LINALG_AMG_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 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 "<a class="code" href="forwards_8h.html">viennacl/forwards.h</a>"</span></div>
<div class="line"><a name="l00030"></a><span class="lineno"> 30</span> <span class="preprocessor">#include "<a class="code" href="tools_8hpp.html">viennacl/tools/tools.hpp</a>"</span></div>
<div class="line"><a name="l00031"></a><span class="lineno"> 31</span> <span class="preprocessor">#include "<a class="code" href="prod_8hpp.html">viennacl/linalg/prod.hpp</a>"</span></div>
<div class="line"><a name="l00032"></a><span class="lineno"> 32</span> <span class="preprocessor">#include "<a class="code" href="direct__solve_8hpp.html">viennacl/linalg/direct_solve.hpp</a>"</span></div>
<div class="line"><a name="l00033"></a><span class="lineno"> 33</span> <span class="preprocessor">#include "<a class="code" href="compressed__matrix_8hpp.html">viennacl/compressed_matrix.hpp</a>"</span></div>
<div class="line"><a name="l00034"></a><span class="lineno"> 34</span> </div>
<div class="line"><a name="l00035"></a><span class="lineno"> 35</span> <span class="preprocessor">#include "<a class="code" href="amg__base_8hpp.html">viennacl/linalg/detail/amg/amg_base.hpp</a>"</span></div>
<div class="line"><a name="l00036"></a><span class="lineno"> 36</span> <span class="preprocessor">#include "<a class="code" href="sparse__matrix__operations_8hpp.html">viennacl/linalg/sparse_matrix_operations.hpp</a>"</span></div>
<div class="line"><a name="l00037"></a><span class="lineno"> 37</span> <span class="preprocessor">#include "<a class="code" href="amg__operations_8hpp.html">viennacl/linalg/amg_operations.hpp</a>"</span></div>
<div class="line"><a name="l00038"></a><span class="lineno"> 38</span> <span class="preprocessor">#include "<a class="code" href="timer_8hpp.html">viennacl/tools/timer.hpp</a>"</span></div>
<div class="line"><a name="l00039"></a><span class="lineno"> 39</span> <span class="preprocessor">#include "<a class="code" href="direct__solve_8hpp.html">viennacl/linalg/direct_solve.hpp</a>"</span></div>
<div class="line"><a name="l00040"></a><span class="lineno"> 40</span> <span class="preprocessor">#include "<a class="code" href="lu_8hpp.html">viennacl/linalg/lu.hpp</a>"</span></div>
<div class="line"><a name="l00041"></a><span class="lineno"> 41</span> </div>
<div class="line"><a name="l00042"></a><span class="lineno"> 42</span> <span class="preprocessor">#include <map></span></div>
<div class="line"><a name="l00043"></a><span class="lineno"> 43</span> </div>
<div class="line"><a name="l00044"></a><span class="lineno"> 44</span> <span class="preprocessor">#ifdef VIENNACL_WITH_OPENMP</span></div>
<div class="line"><a name="l00045"></a><span class="lineno"> 45</span> <span class="preprocessor"> #include <omp.h></span></div>
<div class="line"><a name="l00046"></a><span class="lineno"> 46</span> <span class="preprocessor">#endif</span></div>
<div class="line"><a name="l00047"></a><span class="lineno"> 47</span> </div>
<div class="line"><a name="l00048"></a><span class="lineno"><a class="line" href="amg_8hpp.html#aec49e82ddd8b8588ba2d2048b4c063d4"> 48</a></span> <span class="preprocessor">#define VIENNACL_AMG_MAX_LEVELS 20</span></div>
<div class="line"><a name="l00049"></a><span class="lineno"> 49</span> </div>
<div class="line"><a name="l00050"></a><span class="lineno"> 50</span> <span class="keyword">namespace </span>viennacl</div>
<div class="line"><a name="l00051"></a><span class="lineno"> 51</span> {</div>
<div class="line"><a name="l00052"></a><span class="lineno"> 52</span> <span class="keyword">namespace </span>linalg</div>
<div class="line"><a name="l00053"></a><span class="lineno"> 53</span> {</div>
<div class="line"><a name="l00054"></a><span class="lineno"> 54</span> </div>
<div class="line"><a name="l00055"></a><span class="lineno"><a class="line" href="classviennacl_1_1linalg_1_1amg__coarse__problem__too__large__exception.html"> 55</a></span> <span class="keyword">class </span><a class="code" href="classviennacl_1_1linalg_1_1amg__coarse__problem__too__large__exception.html">amg_coarse_problem_too_large_exception</a> : <span class="keyword">public</span> std::runtime_error</div>
<div class="line"><a name="l00056"></a><span class="lineno"> 56</span> {</div>
<div class="line"><a name="l00057"></a><span class="lineno"> 57</span> <span class="keyword">public</span>:</div>
<div class="line"><a name="l00058"></a><span class="lineno"><a class="line" href="classviennacl_1_1linalg_1_1amg__coarse__problem__too__large__exception.html#a19154e60a774a4e2788d0e91ca4eee74"> 58</a></span>  <a class="code" href="classviennacl_1_1linalg_1_1amg__coarse__problem__too__large__exception.html#a19154e60a774a4e2788d0e91ca4eee74">amg_coarse_problem_too_large_exception</a>(std::string <span class="keyword">const</span> & msg, <a class="code" href="namespaceviennacl.html#a98a0afcc513111ffa0bd138f891930df">vcl_size_t</a> num_points) : std::runtime_error(msg), c_points_(num_points) {}</div>
<div class="line"><a name="l00059"></a><span class="lineno"> 59</span> </div>
<div class="line"><a name="l00061"></a><span class="lineno"><a class="line" href="classviennacl_1_1linalg_1_1amg__coarse__problem__too__large__exception.html#a9ab9f7043339193e57e250007c547aae"> 61</a></span>  <a class="code" href="namespaceviennacl.html#a98a0afcc513111ffa0bd138f891930df">vcl_size_t</a> <a class="code" href="classviennacl_1_1linalg_1_1amg__coarse__problem__too__large__exception.html#a9ab9f7043339193e57e250007c547aae">coarse_points</a>()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> c_points_; }</div>
<div class="line"><a name="l00062"></a><span class="lineno"> 62</span> </div>
<div class="line"><a name="l00063"></a><span class="lineno"> 63</span> <span class="keyword">private</span>:</div>
<div class="line"><a name="l00064"></a><span class="lineno"> 64</span>  <a class="code" href="namespaceviennacl.html#a98a0afcc513111ffa0bd138f891930df">vcl_size_t</a> c_points_;</div>
<div class="line"><a name="l00065"></a><span class="lineno"> 65</span> };</div>
<div class="line"><a name="l00066"></a><span class="lineno"> 66</span> </div>
<div class="line"><a name="l00067"></a><span class="lineno"> 67</span> </div>
<div class="line"><a name="l00068"></a><span class="lineno"> 68</span> <span class="keyword">namespace </span>detail</div>
<div class="line"><a name="l00069"></a><span class="lineno"> 69</span> {</div>
<div class="line"><a name="l00077"></a><span class="lineno"> 77</span>  <span class="keyword">template</span><<span class="keyword">typename</span> NumericT></div>
<div class="line"><a name="l00078"></a><span class="lineno"><a class="line" href="namespaceviennacl_1_1linalg_1_1detail.html#ad99081b48c19672cd03b8f5ca82a23d7"> 78</a></span>  <span class="keywordtype">void</span> <a class="code" href="namespaceviennacl_1_1linalg_1_1detail.html#ad99081b48c19672cd03b8f5ca82a23d7">amg_galerkin_prod</a>(<a class="code" href="classviennacl_1_1compressed__matrix.html">compressed_matrix<NumericT></a> & A_fine,</div>
<div class="line"><a name="l00079"></a><span class="lineno"> 79</span>  <a class="code" href="classviennacl_1_1compressed__matrix.html">compressed_matrix<NumericT></a> & P,</div>
<div class="line"><a name="l00080"></a><span class="lineno"> 80</span>  <a class="code" href="classviennacl_1_1compressed__matrix.html">compressed_matrix<NumericT></a> & R, <span class="comment">//P^T</span></div>
<div class="line"><a name="l00081"></a><span class="lineno"> 81</span>  <a class="code" href="classviennacl_1_1compressed__matrix.html">compressed_matrix<NumericT></a> & A_coarse)</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> </div>
<div class="line"><a name="l00084"></a><span class="lineno"> 84</span>  <a class="code" href="classviennacl_1_1compressed__matrix.html">compressed_matrix<NumericT></a> A_fine_times_P(<a class="code" href="namespaceviennacl_1_1traits.html#a6707f5dab8f482170d2046a605f46ef8">viennacl::traits::context</a>(A_fine));</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">// transpose P in memory (no known way of efficiently multiplying P^T * B for CSR-matrices P and B):</span></div>
<div class="line"><a name="l00087"></a><span class="lineno"> 87</span>  <a class="code" href="namespaceviennacl_1_1linalg_1_1detail_1_1amg.html#a7e086cf2c9179128585159e368b450a2">viennacl::linalg::detail::amg::amg_transpose</a>(P, R);</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">// compute Galerkin product using a temporary for the result of A_fine * P</span></div>
<div class="line"><a name="l00090"></a><span class="lineno"> 90</span>  A_fine_times_P = <a class="code" href="namespaceviennacl_1_1linalg.html#aa18d10f8a90e38bd9ff43c650fc670ef">viennacl::linalg::prod</a>(A_fine, P);</div>
<div class="line"><a name="l00091"></a><span class="lineno"> 91</span>  A_coarse = <a class="code" href="namespaceviennacl_1_1linalg.html#aa18d10f8a90e38bd9ff43c650fc670ef">viennacl::linalg::prod</a>(R, A_fine_times_P);</div>
<div class="line"><a name="l00092"></a><span class="lineno"> 92</span> </div>
<div class="line"><a name="l00093"></a><span class="lineno"> 93</span>  }</div>
<div class="line"><a name="l00094"></a><span class="lineno"> 94</span> </div>
<div class="line"><a name="l00095"></a><span class="lineno"> 95</span> </div>
<div class="line"><a name="l00104"></a><span class="lineno"> 104</span>  <span class="keyword">template</span><<span class="keyword">typename</span> NumericT, <span class="keyword">typename</span> AMGContextListT></div>
<div class="line"><a name="l00105"></a><span class="lineno"><a class="line" href="namespaceviennacl_1_1linalg_1_1detail.html#af7b9c200aae8697ad72e84383ea41235"> 105</a></span>  <a class="code" href="namespaceviennacl.html#a98a0afcc513111ffa0bd138f891930df">vcl_size_t</a> <a class="code" href="namespaceviennacl_1_1linalg_1_1detail.html#af7b9c200aae8697ad72e84383ea41235">amg_setup</a>(std::vector<<a class="code" href="classviennacl_1_1compressed__matrix.html">compressed_matrix<NumericT></a> > & list_of_A,</div>
<div class="line"><a name="l00106"></a><span class="lineno"> 106</span>  std::vector<<a class="code" href="classviennacl_1_1compressed__matrix.html">compressed_matrix<NumericT></a> > & list_of_P,</div>
<div class="line"><a name="l00107"></a><span class="lineno"> 107</span>  std::vector<<a class="code" href="classviennacl_1_1compressed__matrix.html">compressed_matrix<NumericT></a> > & list_of_R,</div>
<div class="line"><a name="l00108"></a><span class="lineno"> 108</span>  AMGContextListT & list_of_amg_level_context,</div>
<div class="line"><a name="l00109"></a><span class="lineno"> 109</span>  <a class="code" href="classviennacl_1_1linalg_1_1amg__tag.html">amg_tag</a> & tag)</div>
<div class="line"><a name="l00110"></a><span class="lineno"> 110</span>  {</div>
<div class="line"><a name="l00111"></a><span class="lineno"> 111</span>  <span class="comment">// Set number of iterations. If automatic coarse grid construction is chosen (0), then set a maximum size and stop during the process.</span></div>
<div class="line"><a name="l00112"></a><span class="lineno"> 112</span>  <a class="code" href="namespaceviennacl.html#a98a0afcc513111ffa0bd138f891930df">vcl_size_t</a> iterations = tag.<a class="code" href="classviennacl_1_1linalg_1_1amg__tag.html#aaf8b264b0815ace331e56affb09fe4fb">get_coarse_levels</a>();</div>
<div class="line"><a name="l00113"></a><span class="lineno"> 113</span>  <span class="keywordflow">if</span> (iterations == 0)</div>
<div class="line"><a name="l00114"></a><span class="lineno"> 114</span>  iterations = <a class="code" href="amg_8hpp.html#aec49e82ddd8b8588ba2d2048b4c063d4">VIENNACL_AMG_MAX_LEVELS</a>;</div>
<div class="line"><a name="l00115"></a><span class="lineno"> 115</span> </div>
<div class="line"><a name="l00116"></a><span class="lineno"> 116</span>  <span class="keywordflow">for</span> (<a class="code" href="namespaceviennacl.html#a98a0afcc513111ffa0bd138f891930df">vcl_size_t</a> i=0; i<iterations; ++i)</div>
<div class="line"><a name="l00117"></a><span class="lineno"> 117</span>  {</div>
<div class="line"><a name="l00118"></a><span class="lineno"> 118</span>  list_of_amg_level_context[i].switch_context(tag.<a class="code" href="classviennacl_1_1linalg_1_1amg__tag.html#aaf11ae31671d807f858f6318db7be002">get_setup_context</a>());</div>
<div class="line"><a name="l00119"></a><span class="lineno"> 119</span>  list_of_amg_level_context[i].resize(list_of_A[i].<a class="code" href="namespaceviennacl_1_1traits.html#aa756f5d6820722094cae0d8b9bb6d5e2">size1</a>(), list_of_A[i].nnz());</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">// Construct C and F points on coarse level (i is fine level, i+1 coarse level).</span></div>
<div class="line"><a name="l00122"></a><span class="lineno"> 122</span>  <a class="code" href="namespaceviennacl_1_1linalg_1_1detail_1_1amg.html#a6d7bedbd7fc8f6aa53a05f4fdab6d196">detail::amg::amg_coarse</a>(list_of_A[i], list_of_amg_level_context[i], tag);</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">// Calculate number of C and F points on level i.</span></div>
<div class="line"><a name="l00125"></a><span class="lineno"> 125</span>  <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> c_points = list_of_amg_level_context[i].num_coarse_;</div>
<div class="line"><a name="l00126"></a><span class="lineno"> 126</span>  <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> f_points = <span class="keyword">static_cast<</span><span class="keywordtype">unsigned</span> <span class="keywordtype">int</span><span class="keyword">></span>(list_of_A[i].size1()) - c_points;</div>
<div class="line"><a name="l00127"></a><span class="lineno"> 127</span> </div>
<div class="line"><a name="l00128"></a><span class="lineno"> 128</span>  <span class="keywordflow">if</span> (f_points == 0 && c_points > tag.<a class="code" href="classviennacl_1_1linalg_1_1amg__tag.html#a46a73d0777b27f7e6a67645c69ed5d22">get_coarsening_cutoff</a>())</div>
<div class="line"><a name="l00129"></a><span class="lineno"> 129</span>  {</div>
<div class="line"><a name="l00130"></a><span class="lineno"> 130</span>  std::stringstream ss;</div>
<div class="line"><a name="l00131"></a><span class="lineno"> 131</span>  ss << <span class="stringliteral">"No further coarsening possible ("</span> << c_points << <span class="stringliteral">" coarse points). Consider changing the strong connection threshold or increasing the coarsening cutoff."</span> << std::endl;</div>
<div class="line"><a name="l00132"></a><span class="lineno"> 132</span>  <span class="keywordflow">throw</span> <a class="code" href="classviennacl_1_1linalg_1_1amg__coarse__problem__too__large__exception.html">amg_coarse_problem_too_large_exception</a>(ss.str(), c_points);</div>
<div class="line"><a name="l00133"></a><span class="lineno"> 133</span>  }</div>
<div class="line"><a name="l00134"></a><span class="lineno"> 134</span> </div>
<div class="line"><a name="l00135"></a><span class="lineno"> 135</span>  <span class="comment">// Stop routine when the maximal coarse level is found (no C or F point). Coarsest level is level i.</span></div>
<div class="line"><a name="l00136"></a><span class="lineno"> 136</span>  <span class="keywordflow">if</span> (c_points == 0 || f_points == 0)</div>
<div class="line"><a name="l00137"></a><span class="lineno"> 137</span>  <span class="keywordflow">break</span>;</div>
<div class="line"><a name="l00138"></a><span class="lineno"> 138</span> </div>
<div class="line"><a name="l00139"></a><span class="lineno"> 139</span>  <span class="comment">// Construct interpolation matrix for level i.</span></div>
<div class="line"><a name="l00140"></a><span class="lineno"> 140</span>  <a class="code" href="namespaceviennacl_1_1linalg_1_1detail_1_1amg.html#ac6c981d0cfcfdc804bc906234b42f4cb">detail::amg::amg_interpol</a>(list_of_A[i], list_of_P[i], list_of_amg_level_context[i], tag);</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">// Compute coarse grid operator (A[i+1] = R * A[i] * P) with R = trans(P).</span></div>
<div class="line"><a name="l00143"></a><span class="lineno"> 143</span>  <a class="code" href="namespaceviennacl_1_1linalg_1_1detail.html#ad99081b48c19672cd03b8f5ca82a23d7">amg_galerkin_prod</a>(list_of_A[i], list_of_P[i], list_of_R[i], list_of_A[i+1]);</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">// send matrices to target context:</span></div>
<div class="line"><a name="l00146"></a><span class="lineno"> 146</span>  list_of_A[i].switch_memory_context(tag.<a class="code" href="classviennacl_1_1linalg_1_1amg__tag.html#af3cab1d0755109166556d0840b256bed">get_target_context</a>());</div>
<div class="line"><a name="l00147"></a><span class="lineno"> 147</span>  list_of_P[i].switch_memory_context(tag.<a class="code" href="classviennacl_1_1linalg_1_1amg__tag.html#af3cab1d0755109166556d0840b256bed">get_target_context</a>());</div>
<div class="line"><a name="l00148"></a><span class="lineno"> 148</span>  list_of_R[i].switch_memory_context(tag.<a class="code" href="classviennacl_1_1linalg_1_1amg__tag.html#af3cab1d0755109166556d0840b256bed">get_target_context</a>());</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>  <span class="comment">// If Limit of coarse points is reached then stop. Coarsest level is level i+1.</span></div>
<div class="line"><a name="l00151"></a><span class="lineno"> 151</span>  <span class="keywordflow">if</span> (tag.<a class="code" href="classviennacl_1_1linalg_1_1amg__tag.html#aaf8b264b0815ace331e56affb09fe4fb">get_coarse_levels</a>() == 0 && c_points <= tag.<a class="code" href="classviennacl_1_1linalg_1_1amg__tag.html#a46a73d0777b27f7e6a67645c69ed5d22">get_coarsening_cutoff</a>())</div>
<div class="line"><a name="l00152"></a><span class="lineno"> 152</span>  <span class="keywordflow">return</span> i+1;</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="l00155"></a><span class="lineno"> 155</span>  <span class="keywordflow">return</span> iterations;</div>
<div class="line"><a name="l00156"></a><span class="lineno"> 156</span>  }</div>
<div class="line"><a name="l00157"></a><span class="lineno"> 157</span> </div>
<div class="line"><a name="l00158"></a><span class="lineno"> 158</span> </div>
<div class="line"><a name="l00168"></a><span class="lineno"> 168</span>  <span class="keyword">template</span><<span class="keyword">typename</span> MatrixT, <span class="keyword">typename</span> InternalT1, <span class="keyword">typename</span> InternalT2></div>
<div class="line"><a name="l00169"></a><span class="lineno"><a class="line" href="namespaceviennacl_1_1linalg_1_1detail.html#a178fed3977c23a15411a659d3884f07a"> 169</a></span>  <span class="keywordtype">void</span> <a class="code" href="namespaceviennacl_1_1linalg_1_1detail.html#a178fed3977c23a15411a659d3884f07a">amg_init</a>(MatrixT <span class="keyword">const</span> & mat, InternalT1 & list_of_A, InternalT1 & list_of_P, InternalT1 & list_of_R, InternalT2 & list_of_amg_level_context, <a class="code" href="classviennacl_1_1linalg_1_1amg__tag.html">amg_tag</a> & tag)</div>
<div class="line"><a name="l00170"></a><span class="lineno"> 170</span>  {</div>
<div class="line"><a name="l00171"></a><span class="lineno"> 171</span>  <span class="keyword">typedef</span> <span class="keyword">typename</span> InternalT1::value_type SparseMatrixType;</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>  <a class="code" href="namespaceviennacl.html#a98a0afcc513111ffa0bd138f891930df">vcl_size_t</a> num_levels = (tag.<a class="code" href="classviennacl_1_1linalg_1_1amg__tag.html#aaf8b264b0815ace331e56affb09fe4fb">get_coarse_levels</a>() > 0) ? tag.<a class="code" href="classviennacl_1_1linalg_1_1amg__tag.html#aaf8b264b0815ace331e56affb09fe4fb">get_coarse_levels</a>() : <a class="code" href="amg_8hpp.html#aec49e82ddd8b8588ba2d2048b4c063d4">VIENNACL_AMG_MAX_LEVELS</a>;</div>
<div class="line"><a name="l00174"></a><span class="lineno"> 174</span> </div>
<div class="line"><a name="l00175"></a><span class="lineno"> 175</span>  list_of_A.resize(num_levels+1, SparseMatrixType(tag.<a class="code" href="classviennacl_1_1linalg_1_1amg__tag.html#aaf11ae31671d807f858f6318db7be002">get_setup_context</a>()));</div>
<div class="line"><a name="l00176"></a><span class="lineno"> 176</span>  list_of_P.resize(num_levels, SparseMatrixType(tag.<a class="code" href="classviennacl_1_1linalg_1_1amg__tag.html#aaf11ae31671d807f858f6318db7be002">get_setup_context</a>()));</div>
<div class="line"><a name="l00177"></a><span class="lineno"> 177</span>  list_of_R.resize(num_levels, SparseMatrixType(tag.<a class="code" href="classviennacl_1_1linalg_1_1amg__tag.html#aaf11ae31671d807f858f6318db7be002">get_setup_context</a>()));</div>
<div class="line"><a name="l00178"></a><span class="lineno"> 178</span>  list_of_amg_level_context.resize(num_levels);</div>
<div class="line"><a name="l00179"></a><span class="lineno"> 179</span> </div>
<div class="line"><a name="l00180"></a><span class="lineno"> 180</span>  <span class="comment">// Insert operator matrix as operator for finest level.</span></div>
<div class="line"><a name="l00181"></a><span class="lineno"> 181</span>  <span class="comment">//SparseMatrixType A0(mat);</span></div>
<div class="line"><a name="l00182"></a><span class="lineno"> 182</span>  <span class="comment">//A.insert_element(0, A0);</span></div>
<div class="line"><a name="l00183"></a><span class="lineno"> 183</span>  list_of_A[0].switch_memory_context(<a class="code" href="namespaceviennacl_1_1traits.html#a6707f5dab8f482170d2046a605f46ef8">viennacl::traits::context</a>(mat));</div>
<div class="line"><a name="l00184"></a><span class="lineno"> 184</span>  list_of_A[0] = mat;</div>
<div class="line"><a name="l00185"></a><span class="lineno"> 185</span>  list_of_A[0].switch_memory_context(tag.<a class="code" href="classviennacl_1_1linalg_1_1amg__tag.html#aaf11ae31671d807f858f6318db7be002">get_setup_context</a>());</div>
<div class="line"><a name="l00186"></a><span class="lineno"> 186</span>  }</div>
<div class="line"><a name="l00187"></a><span class="lineno"> 187</span> </div>
<div class="line"><a name="l00198"></a><span class="lineno"> 198</span>  <span class="keyword">template</span><<span class="keyword">typename</span> InternalVectorT, <span class="keyword">typename</span> SparseMatrixT></div>
<div class="line"><a name="l00199"></a><span class="lineno"><a class="line" href="namespaceviennacl_1_1linalg_1_1detail.html#a1c1a1f8971b25ae6622b7b8e50e728d8"> 199</a></span>  <span class="keywordtype">void</span> <a class="code" href="namespaceviennacl_1_1linalg_1_1detail.html#a1c1a1f8971b25ae6622b7b8e50e728d8">amg_setup_apply</a>(InternalVectorT & result,</div>
<div class="line"><a name="l00200"></a><span class="lineno"> 200</span>  InternalVectorT & result_backup,</div>
<div class="line"><a name="l00201"></a><span class="lineno"> 201</span>  InternalVectorT & rhs,</div>
<div class="line"><a name="l00202"></a><span class="lineno"> 202</span>  InternalVectorT & residual,</div>
<div class="line"><a name="l00203"></a><span class="lineno"> 203</span>  SparseMatrixT <span class="keyword">const</span> & A,</div>
<div class="line"><a name="l00204"></a><span class="lineno"> 204</span>  <a class="code" href="namespaceviennacl.html#a98a0afcc513111ffa0bd138f891930df">vcl_size_t</a> coarse_levels,</div>
<div class="line"><a name="l00205"></a><span class="lineno"> 205</span>  <a class="code" href="classviennacl_1_1linalg_1_1amg__tag.html">amg_tag</a> <span class="keyword">const</span> & tag)</div>
<div class="line"><a name="l00206"></a><span class="lineno"> 206</span>  {</div>
<div class="line"><a name="l00207"></a><span class="lineno"> 207</span>  <span class="keyword">typedef</span> <span class="keyword">typename</span> InternalVectorT::value_type VectorType;</div>
<div class="line"><a name="l00208"></a><span class="lineno"> 208</span> </div>
<div class="line"><a name="l00209"></a><span class="lineno"> 209</span>  result.resize(coarse_levels + 1);</div>
<div class="line"><a name="l00210"></a><span class="lineno"> 210</span>  result_backup.resize(coarse_levels + 1);</div>
<div class="line"><a name="l00211"></a><span class="lineno"> 211</span>  rhs.resize(coarse_levels + 1);</div>
<div class="line"><a name="l00212"></a><span class="lineno"> 212</span>  residual.resize(coarse_levels);</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="keywordflow">for</span> (<a class="code" href="namespaceviennacl.html#a98a0afcc513111ffa0bd138f891930df">vcl_size_t</a> level=0; level <= coarse_levels; ++level)</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>  result[level] = VectorType(A[level].<a class="code" href="namespaceviennacl_1_1traits.html#aa756f5d6820722094cae0d8b9bb6d5e2">size1</a>(), tag.<a class="code" href="classviennacl_1_1linalg_1_1amg__tag.html#af3cab1d0755109166556d0840b256bed">get_target_context</a>());</div>
<div class="line"><a name="l00217"></a><span class="lineno"> 217</span>  result_backup[level] = VectorType(A[level].<a class="code" href="namespaceviennacl_1_1traits.html#aa756f5d6820722094cae0d8b9bb6d5e2">size1</a>(), tag.<a class="code" href="classviennacl_1_1linalg_1_1amg__tag.html#af3cab1d0755109166556d0840b256bed">get_target_context</a>());</div>
<div class="line"><a name="l00218"></a><span class="lineno"> 218</span>  rhs[level] = VectorType(A[level].<a class="code" href="namespaceviennacl_1_1traits.html#aa756f5d6820722094cae0d8b9bb6d5e2">size1</a>(), tag.<a class="code" href="classviennacl_1_1linalg_1_1amg__tag.html#af3cab1d0755109166556d0840b256bed">get_target_context</a>());</div>
<div class="line"><a name="l00219"></a><span class="lineno"> 219</span>  }</div>
<div class="line"><a name="l00220"></a><span class="lineno"> 220</span>  <span class="keywordflow">for</span> (<a class="code" href="namespaceviennacl.html#a98a0afcc513111ffa0bd138f891930df">vcl_size_t</a> level=0; level < coarse_levels; ++level)</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>  residual[level] = VectorType(A[level].<a class="code" href="namespaceviennacl_1_1traits.html#aa756f5d6820722094cae0d8b9bb6d5e2">size1</a>(), tag.<a class="code" href="classviennacl_1_1linalg_1_1amg__tag.html#af3cab1d0755109166556d0840b256bed">get_target_context</a>());</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>  }</div>
<div class="line"><a name="l00225"></a><span class="lineno"> 225</span> </div>
<div class="line"><a name="l00226"></a><span class="lineno"> 226</span> </div>
<div class="line"><a name="l00235"></a><span class="lineno"> 235</span>  <span class="keyword">template</span><<span class="keyword">typename</span> NumericT, <span class="keyword">typename</span> SparseMatrixT></div>
<div class="line"><a name="l00236"></a><span class="lineno"><a class="line" href="namespaceviennacl_1_1linalg_1_1detail.html#a8304f0ec7b9d0417a342aaed81431835"> 236</a></span>  <span class="keywordtype">void</span> <a class="code" href="namespaceviennacl_1_1linalg_1_1detail.html#a8304f0ec7b9d0417a342aaed81431835">amg_lu</a>(<a class="code" href="classviennacl_1_1matrix.html">viennacl::matrix<NumericT></a> & op,</div>
<div class="line"><a name="l00237"></a><span class="lineno"> 237</span>  SparseMatrixT <span class="keyword">const</span> & A,</div>
<div class="line"><a name="l00238"></a><span class="lineno"> 238</span>  <a class="code" href="classviennacl_1_1linalg_1_1amg__tag.html">amg_tag</a> <span class="keyword">const</span> & tag)</div>
<div class="line"><a name="l00239"></a><span class="lineno"> 239</span>  {</div>
<div class="line"><a name="l00240"></a><span class="lineno"> 240</span>  op.<a class="code" href="classviennacl_1_1matrix__base.html#a89b777f4dbd07ecc26f251192107539d">switch_memory_context</a>(tag.<a class="code" href="classviennacl_1_1linalg_1_1amg__tag.html#aaf11ae31671d807f858f6318db7be002">get_setup_context</a>());</div>
<div class="line"><a name="l00241"></a><span class="lineno"> 241</span>  op.<a class="code" href="classviennacl_1_1matrix.html#a69431725e09b2b73606dee084c962d7f">resize</a>(A.size1(), A.size2(), <span class="keyword">false</span>);</div>
<div class="line"><a name="l00242"></a><span class="lineno"> 242</span>  <a class="code" href="namespaceviennacl_1_1linalg_1_1detail_1_1amg.html#a7da349de29bec5384117238383f88e70">viennacl::linalg::detail::amg::assign_to_dense</a>(A, op);</div>
<div class="line"><a name="l00243"></a><span class="lineno"> 243</span> </div>
<div class="line"><a name="l00244"></a><span class="lineno"> 244</span>  <a class="code" href="namespaceviennacl_1_1linalg.html#a1050039fb153ae8ad818390a30f96bc4">viennacl::linalg::lu_factorize</a>(op);</div>
<div class="line"><a name="l00245"></a><span class="lineno"> 245</span>  op.<a class="code" href="classviennacl_1_1matrix__base.html#a89b777f4dbd07ecc26f251192107539d">switch_memory_context</a>(tag.<a class="code" href="classviennacl_1_1linalg_1_1amg__tag.html#af3cab1d0755109166556d0840b256bed">get_target_context</a>());</div>
<div class="line"><a name="l00246"></a><span class="lineno"> 246</span>  }</div>
<div class="line"><a name="l00247"></a><span class="lineno"> 247</span> </div>
<div class="line"><a name="l00248"></a><span class="lineno"> 248</span> }</div>
<div class="line"><a name="l00249"></a><span class="lineno"> 249</span> </div>
<div class="line"><a name="l00252"></a><span class="lineno"> 252</span> <span class="keyword">template</span><<span class="keyword">typename</span> MatrixT></div>
<div class="line"><a name="l00253"></a><span class="lineno"><a class="line" href="classviennacl_1_1linalg_1_1amg__precond.html"> 253</a></span> <span class="keyword">class </span><a class="code" href="classviennacl_1_1linalg_1_1amg__precond.html">amg_precond</a>;</div>
<div class="line"><a name="l00254"></a><span class="lineno"> 254</span> </div>
<div class="line"><a name="l00255"></a><span class="lineno"> 255</span> </div>
<div class="line"><a name="l00260"></a><span class="lineno"> 260</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="l00261"></a><span class="lineno"><a class="line" href="classviennacl_1_1linalg_1_1amg__precond_3_01compressed__matrix_3_01_numeric_t_00_01_alignment_v_01_4_01_4.html"> 261</a></span> <span class="keyword">class </span><a class="code" href="classviennacl_1_1linalg_1_1amg__precond.html">amg_precond</a>< <a class="code" href="classviennacl_1_1compressed__matrix.html">compressed_matrix</a><<a class="code" href="tests_2src_2bisect_8cpp.html#a52b5d30a2d7b064678644a3bf49b7f6c">NumericT</a>, AlignmentV> ></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="keyword">typedef</span> <a class="code" href="classviennacl_1_1compressed__matrix.html">viennacl::compressed_matrix<NumericT, AlignmentV></a> <a class="code" href="classviennacl_1_1compressed__matrix.html">SparseMatrixType</a>;</div>
<div class="line"><a name="l00264"></a><span class="lineno"> 264</span>  <span class="keyword">typedef</span> <a class="code" href="classviennacl_1_1vector.html">viennacl::vector<NumericT></a> <a class="code" href="classviennacl_1_1vector.html">VectorType</a>;</div>
<div class="line"><a name="l00265"></a><span class="lineno"> 265</span>  <span class="keyword">typedef</span> <a class="code" href="structviennacl_1_1linalg_1_1detail_1_1amg_1_1amg__level__context.html">detail::amg::amg_level_context</a> <a class="code" href="structviennacl_1_1linalg_1_1detail_1_1amg_1_1amg__level__context.html">AMGContextType</a>;</div>
<div class="line"><a name="l00266"></a><span class="lineno"> 266</span> </div>
<div class="line"><a name="l00267"></a><span class="lineno"> 267</span> <span class="keyword">public</span>:</div>
<div class="line"><a name="l00268"></a><span class="lineno"> 268</span> </div>
<div class="line"><a name="l00269"></a><span class="lineno"><a class="line" href="classviennacl_1_1linalg_1_1amg__precond_3_01compressed__matrix_3_01_numeric_t_00_01_alignment_v_01_4_01_4.html#a29fa521d8d197ef48625fb3136a0b5c7"> 269</a></span>  <a class="code" href="classviennacl_1_1linalg_1_1amg__precond_3_01compressed__matrix_3_01_numeric_t_00_01_alignment_v_01_4_01_4.html#a29fa521d8d197ef48625fb3136a0b5c7">amg_precond</a>() {}</div>
<div class="line"><a name="l00270"></a><span class="lineno"> 270</span> </div>
<div class="line"><a name="l00276"></a><span class="lineno"><a class="line" href="classviennacl_1_1linalg_1_1amg__precond_3_01compressed__matrix_3_01_numeric_t_00_01_alignment_v_01_4_01_4.html#a6753c39f2335407f6c15add355c79dbb"> 276</a></span>  <a class="code" href="classviennacl_1_1linalg_1_1amg__precond_3_01compressed__matrix_3_01_numeric_t_00_01_alignment_v_01_4_01_4.html#a6753c39f2335407f6c15add355c79dbb">amg_precond</a>(<a class="code" href="classviennacl_1_1compressed__matrix.html">compressed_matrix<NumericT, AlignmentV></a> <span class="keyword">const</span> & mat,</div>
<div class="line"><a name="l00277"></a><span class="lineno"> 277</span>  <a class="code" href="classviennacl_1_1linalg_1_1amg__tag.html">amg_tag</a> <span class="keyword">const</span> & tag)</div>
<div class="line"><a name="l00278"></a><span class="lineno"> 278</span>  {</div>
<div class="line"><a name="l00279"></a><span class="lineno"> 279</span>  tag_ = tag;</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>  <span class="comment">// Initialize data structures.</span></div>
<div class="line"><a name="l00282"></a><span class="lineno"> 282</span>  <a class="code" href="namespaceviennacl_1_1linalg_1_1detail.html#a178fed3977c23a15411a659d3884f07a">detail::amg_init</a>(mat, A_list_, P_list_, R_list_, amg_context_list_, tag_);</div>
<div class="line"><a name="l00283"></a><span class="lineno"> 283</span>  }</div>
<div class="line"><a name="l00284"></a><span class="lineno"> 284</span> </div>
<div class="line"><a name="l00287"></a><span class="lineno"><a class="line" href="classviennacl_1_1linalg_1_1amg__precond_3_01compressed__matrix_3_01_numeric_t_00_01_alignment_v_01_4_01_4.html#ab19fc3bc1120992a264b2e4816cc99c4"> 287</a></span>  <span class="keywordtype">void</span> <a class="code" href="classviennacl_1_1linalg_1_1amg__precond_3_01compressed__matrix_3_01_numeric_t_00_01_alignment_v_01_4_01_4.html#ab19fc3bc1120992a264b2e4816cc99c4">setup</a>()</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>  <span class="comment">// Start setup phase.</span></div>
<div class="line"><a name="l00290"></a><span class="lineno"> 290</span>  <a class="code" href="namespaceviennacl.html#a98a0afcc513111ffa0bd138f891930df">vcl_size_t</a> num_coarse_levels = <a class="code" href="namespaceviennacl_1_1linalg_1_1detail.html#af7b9c200aae8697ad72e84383ea41235">detail::amg_setup</a>(A_list_, P_list_, R_list_, amg_context_list_, tag_);</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>  <span class="comment">// Setup precondition phase (Data structures).</span></div>
<div class="line"><a name="l00293"></a><span class="lineno"> 293</span>  <a class="code" href="namespaceviennacl_1_1linalg_1_1detail.html#a1c1a1f8971b25ae6622b7b8e50e728d8">detail::amg_setup_apply</a>(result_list_, result_backup_list_, rhs_list_, residual_list_, A_list_, num_coarse_levels, tag_);</div>
<div class="line"><a name="l00294"></a><span class="lineno"> 294</span> </div>
<div class="line"><a name="l00295"></a><span class="lineno"> 295</span>  <span class="comment">// LU factorization for direct solve.</span></div>
<div class="line"><a name="l00296"></a><span class="lineno"> 296</span>  <a class="code" href="namespaceviennacl_1_1linalg_1_1detail.html#a8304f0ec7b9d0417a342aaed81431835">detail::amg_lu</a>(coarsest_op_, A_list_[num_coarse_levels], tag_);</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="l00299"></a><span class="lineno"> 299</span> </div>
<div class="line"><a name="l00304"></a><span class="lineno"> 304</span>  <span class="keyword">template</span><<span class="keyword">typename</span> VectorT></div>
<div class="line"><a name="l00305"></a><span class="lineno"><a class="line" href="classviennacl_1_1linalg_1_1amg__precond_3_01compressed__matrix_3_01_numeric_t_00_01_alignment_v_01_4_01_4.html#ad13c403b1d1d50a31ed3281120251295"> 305</a></span>  <span class="keywordtype">void</span> <a class="code" href="classviennacl_1_1linalg_1_1amg__precond_3_01compressed__matrix_3_01_numeric_t_00_01_alignment_v_01_4_01_4.html#ad13c403b1d1d50a31ed3281120251295">apply</a>(VectorT & vec)<span class="keyword"> const</span></div>
<div class="line"><a name="l00306"></a><span class="lineno"> 306</span> <span class="keyword"> </span>{</div>
<div class="line"><a name="l00307"></a><span class="lineno"> 307</span>  <a class="code" href="namespaceviennacl.html#a98a0afcc513111ffa0bd138f891930df">vcl_size_t</a> level;</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">// Precondition operation (Yang, p.3).</span></div>
<div class="line"><a name="l00310"></a><span class="lineno"> 310</span>  rhs_list_[0] = vec;</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>  <span class="comment">// Part 1: Restrict down to coarsest level</span></div>
<div class="line"><a name="l00313"></a><span class="lineno"> 313</span>  <span class="keywordflow">for</span> (level=0; level < residual_list_.size(); level++)</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>  result_list_[level].clear();</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>  <span class="comment">// Apply Smoother presmooth_ times.</span></div>
<div class="line"><a name="l00318"></a><span class="lineno"> 318</span>  <a class="code" href="namespaceviennacl_1_1linalg_1_1detail_1_1amg.html#a29ea7b468b23bb30826c1f94e6671147">viennacl::linalg::detail::amg::smooth_jacobi</a>(static_cast<unsigned int>(tag_.get_presmooth_steps()),</div>
<div class="line"><a name="l00319"></a><span class="lineno"> 319</span>  A_list_[level],</div>
<div class="line"><a name="l00320"></a><span class="lineno"> 320</span>  result_list_[level],</div>
<div class="line"><a name="l00321"></a><span class="lineno"> 321</span>  result_backup_list_[level],</div>
<div class="line"><a name="l00322"></a><span class="lineno"> 322</span>  rhs_list_[level],</div>
<div class="line"><a name="l00323"></a><span class="lineno"> 323</span>  static_cast<NumericT>(tag_.get_jacobi_weight()));</div>
<div class="line"><a name="l00324"></a><span class="lineno"> 324</span> </div>
<div class="line"><a name="l00325"></a><span class="lineno"> 325</span>  <span class="comment">// Compute residual.</span></div>
<div class="line"><a name="l00326"></a><span class="lineno"> 326</span>  <span class="comment">//residual[level] = rhs_[level] - viennacl::linalg::prod(A_[level], result_[level]);</span></div>
<div class="line"><a name="l00327"></a><span class="lineno"> 327</span>  residual_list_[level] = <a class="code" href="namespaceviennacl_1_1linalg.html#aa18d10f8a90e38bd9ff43c650fc670ef">viennacl::linalg::prod</a>(A_list_[level], result_list_[level]);</div>
<div class="line"><a name="l00328"></a><span class="lineno"> 328</span>  residual_list_[level] = rhs_list_[level] - residual_list_[level];</div>
<div class="line"><a name="l00329"></a><span class="lineno"> 329</span> </div>
<div class="line"><a name="l00330"></a><span class="lineno"> 330</span>  <span class="comment">// Restrict to coarse level. Result is RHS of coarse level equation.</span></div>
<div class="line"><a name="l00331"></a><span class="lineno"> 331</span>  <span class="comment">//residual_coarse[level] = viennacl::linalg::prod(R[level],residual[level]);</span></div>
<div class="line"><a name="l00332"></a><span class="lineno"> 332</span>  rhs_list_[level+1] = <a class="code" href="namespaceviennacl_1_1linalg.html#aa18d10f8a90e38bd9ff43c650fc670ef">viennacl::linalg::prod</a>(R_list_[level], residual_list_[level]);</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="comment">// Part 2: On highest level use direct solve to solve equation (on the CPU)</span></div>
<div class="line"><a name="l00336"></a><span class="lineno"> 336</span>  result_list_[level] = rhs_list_[level];</div>
<div class="line"><a name="l00337"></a><span class="lineno"> 337</span>  <a class="code" href="namespaceviennacl_1_1linalg.html#a118a9164bc965f8ec728eda73a5e2450">viennacl::linalg::lu_substitute</a>(coarsest_op_, result_list_[level]);</div>
<div class="line"><a name="l00338"></a><span class="lineno"> 338</span> </div>
<div class="line"><a name="l00339"></a><span class="lineno"> 339</span>  <span class="comment">// Part 3: Prolongation to finest level</span></div>
<div class="line"><a name="l00340"></a><span class="lineno"> 340</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> level2 = static_cast<int>(residual_list_.size()-1); level2 >= 0; level2--)</div>
<div class="line"><a name="l00341"></a><span class="lineno"> 341</span>  {</div>
<div class="line"><a name="l00342"></a><span class="lineno"> 342</span>  level = <span class="keyword">static_cast<</span><a class="code" href="namespaceviennacl.html#a98a0afcc513111ffa0bd138f891930df">vcl_size_t</a><span class="keyword">></span>(level2);</div>
<div class="line"><a name="l00343"></a><span class="lineno"> 343</span> </div>
<div class="line"><a name="l00344"></a><span class="lineno"> 344</span>  <span class="comment">// Interpolate error to fine level and correct solution.</span></div>
<div class="line"><a name="l00345"></a><span class="lineno"> 345</span>  result_backup_list_[level] = <a class="code" href="namespaceviennacl_1_1linalg.html#aa18d10f8a90e38bd9ff43c650fc670ef">viennacl::linalg::prod</a>(P_list_[level], result_list_[level+1]);</div>
<div class="line"><a name="l00346"></a><span class="lineno"> 346</span>  result_list_[level] += result_backup_list_[level];</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>  <span class="comment">// Apply Smoother postsmooth_ times.</span></div>
<div class="line"><a name="l00349"></a><span class="lineno"> 349</span>  <a class="code" href="namespaceviennacl_1_1linalg_1_1detail_1_1amg.html#a29ea7b468b23bb30826c1f94e6671147">viennacl::linalg::detail::amg::smooth_jacobi</a>(static_cast<unsigned int>(tag_.get_postsmooth_steps()),</div>
<div class="line"><a name="l00350"></a><span class="lineno"> 350</span>  A_list_[level],</div>
<div class="line"><a name="l00351"></a><span class="lineno"> 351</span>  result_list_[level],</div>
<div class="line"><a name="l00352"></a><span class="lineno"> 352</span>  result_backup_list_[level],</div>
<div class="line"><a name="l00353"></a><span class="lineno"> 353</span>  rhs_list_[level],</div>
<div class="line"><a name="l00354"></a><span class="lineno"> 354</span>  static_cast<NumericT>(tag_.get_jacobi_weight()));</div>
<div class="line"><a name="l00355"></a><span class="lineno"> 355</span>  }</div>
<div class="line"><a name="l00356"></a><span class="lineno"> 356</span>  vec = result_list_[0];</div>
<div class="line"><a name="l00357"></a><span class="lineno"> 357</span>  }</div>
<div class="line"><a name="l00358"></a><span class="lineno"> 358</span> </div>
<div class="line"><a name="l00360"></a><span class="lineno"><a class="line" href="classviennacl_1_1linalg_1_1amg__precond_3_01compressed__matrix_3_01_numeric_t_00_01_alignment_v_01_4_01_4.html#ae9eee454451fa7192489007ff195bee0"> 360</a></span>  <a class="code" href="namespaceviennacl.html#a98a0afcc513111ffa0bd138f891930df">vcl_size_t</a> <a class="code" href="classviennacl_1_1linalg_1_1amg__precond_3_01compressed__matrix_3_01_numeric_t_00_01_alignment_v_01_4_01_4.html#ae9eee454451fa7192489007ff195bee0">levels</a>()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> residual_list_.size(); }</div>
<div class="line"><a name="l00361"></a><span class="lineno"> 361</span> </div>
<div class="line"><a name="l00362"></a><span class="lineno"> 362</span> </div>
<div class="line"><a name="l00367"></a><span class="lineno"><a class="line" href="classviennacl_1_1linalg_1_1amg__precond_3_01compressed__matrix_3_01_numeric_t_00_01_alignment_v_01_4_01_4.html#ac343e007ddc01d12a893a2c9c9457e09"> 367</a></span>  <a class="code" href="namespaceviennacl.html#a98a0afcc513111ffa0bd138f891930df">vcl_size_t</a> <a class="code" href="classviennacl_1_1linalg_1_1amg__precond_3_01compressed__matrix_3_01_numeric_t_00_01_alignment_v_01_4_01_4.html#ac343e007ddc01d12a893a2c9c9457e09">size</a>(<a class="code" href="namespaceviennacl.html#a98a0afcc513111ffa0bd138f891930df">vcl_size_t</a> level)<span class="keyword"> const</span></div>
<div class="line"><a name="l00368"></a><span class="lineno"> 368</span> <span class="keyword"> </span>{</div>
<div class="line"><a name="l00369"></a><span class="lineno"> 369</span>  assert(level < levels() && <span class="keywordtype">bool</span>(<span class="stringliteral">"Level index out of bounds!"</span>));</div>
<div class="line"><a name="l00370"></a><span class="lineno"> 370</span>  <span class="keywordflow">return</span> residual_list_[level].size();</div>
<div class="line"><a name="l00371"></a><span class="lineno"> 371</span>  }</div>
<div class="line"><a name="l00372"></a><span class="lineno"> 372</span> </div>
<div class="line"><a name="l00374"></a><span class="lineno"><a class="line" href="classviennacl_1_1linalg_1_1amg__precond_3_01compressed__matrix_3_01_numeric_t_00_01_alignment_v_01_4_01_4.html#a0daa8b3ccddfd195c4cf4c55601dcc3b"> 374</a></span>  <a class="code" href="classviennacl_1_1linalg_1_1amg__tag.html">amg_tag</a> <span class="keyword">const</span> & <a class="code" href="classviennacl_1_1linalg_1_1amg__precond_3_01compressed__matrix_3_01_numeric_t_00_01_alignment_v_01_4_01_4.html#a0daa8b3ccddfd195c4cf4c55601dcc3b">tag</a>()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> tag_; }</div>
<div class="line"><a name="l00375"></a><span class="lineno"> 375</span> </div>
<div class="line"><a name="l00376"></a><span class="lineno"> 376</span> <span class="keyword">private</span>:</div>
<div class="line"><a name="l00377"></a><span class="lineno"> 377</span>  std::vector<SparseMatrixType> A_list_;</div>
<div class="line"><a name="l00378"></a><span class="lineno"> 378</span>  std::vector<SparseMatrixType> P_list_;</div>
<div class="line"><a name="l00379"></a><span class="lineno"> 379</span>  std::vector<SparseMatrixType> R_list_;</div>
<div class="line"><a name="l00380"></a><span class="lineno"> 380</span>  std::vector<AMGContextType> amg_context_list_;</div>
<div class="line"><a name="l00381"></a><span class="lineno"> 381</span> </div>
<div class="line"><a name="l00382"></a><span class="lineno"> 382</span>  <a class="code" href="classviennacl_1_1matrix.html">viennacl::matrix<NumericT></a> coarsest_op_;</div>
<div class="line"><a name="l00383"></a><span class="lineno"> 383</span> </div>
<div class="line"><a name="l00384"></a><span class="lineno"> 384</span>  <span class="keyword">mutable</span> std::vector<VectorType> result_list_;</div>
<div class="line"><a name="l00385"></a><span class="lineno"> 385</span>  <span class="keyword">mutable</span> std::vector<VectorType> result_backup_list_;</div>
<div class="line"><a name="l00386"></a><span class="lineno"> 386</span>  <span class="keyword">mutable</span> std::vector<VectorType> rhs_list_;</div>
<div class="line"><a name="l00387"></a><span class="lineno"> 387</span>  <span class="keyword">mutable</span> std::vector<VectorType> residual_list_;</div>
<div class="line"><a name="l00388"></a><span class="lineno"> 388</span> </div>
<div class="line"><a name="l00389"></a><span class="lineno"> 389</span>  <a class="code" href="classviennacl_1_1linalg_1_1amg__tag.html">amg_tag</a> tag_;</div>
<div class="line"><a name="l00390"></a><span class="lineno"> 390</span> };</div>
<div class="line"><a name="l00391"></a><span class="lineno"> 391</span> </div>
<div class="line"><a name="l00392"></a><span class="lineno"> 392</span> }</div>
<div class="line"><a name="l00393"></a><span class="lineno"> 393</span> }</div>
<div class="line"><a name="l00394"></a><span class="lineno"> 394</span> </div>
<div class="line"><a name="l00395"></a><span class="lineno"> 395</span> </div>
<div class="line"><a name="l00396"></a><span class="lineno"> 396</span> </div>
<div class="line"><a name="l00397"></a><span class="lineno"> 397</span> <span class="preprocessor">#endif</span></div>
<div class="line"><a name="l00398"></a><span class="lineno"> 398</span> </div>
<div class="ttc" id="classviennacl_1_1linalg_1_1amg__precond_3_01compressed__matrix_3_01_numeric_t_00_01_alignment_v_01_4_01_4_html_ad13c403b1d1d50a31ed3281120251295"><div class="ttname"><a href="classviennacl_1_1linalg_1_1amg__precond_3_01compressed__matrix_3_01_numeric_t_00_01_alignment_v_01_4_01_4.html#ad13c403b1d1d50a31ed3281120251295">viennacl::linalg::amg_precond< compressed_matrix< NumericT, AlignmentV > >::apply</a></div><div class="ttdeci">void apply(VectorT &vec) const </div><div class="ttdoc">Precondition Operation. </div><div class="ttdef"><b>Definition:</b> <a href="amg_8hpp_source.html#l00305">amg.hpp:305</a></div></div>
<div class="ttc" id="classviennacl_1_1linalg_1_1amg__tag_html_aaf11ae31671d807f858f6318db7be002"><div class="ttname"><a href="classviennacl_1_1linalg_1_1amg__tag.html#aaf11ae31671d807f858f6318db7be002">viennacl::linalg::amg_tag::get_setup_context</a></div><div class="ttdeci">viennacl::context const & get_setup_context() const </div><div class="ttdoc">Returns the ViennaCL context for the preconditioenr setup. </div><div class="ttdef"><b>Definition:</b> <a href="amg__base_8hpp_source.html#l00142">amg_base.hpp:142</a></div></div>
<div class="ttc" id="structviennacl_1_1linalg_1_1detail_1_1amg_1_1amg__level__context_html"><div class="ttname"><a href="structviennacl_1_1linalg_1_1detail_1_1amg_1_1amg__level__context.html">viennacl::linalg::detail::amg::amg_level_context</a></div><div class="ttdef"><b>Definition:</b> <a href="amg__base_8hpp_source.html#l00167">amg_base.hpp:167</a></div></div>
<div class="ttc" id="namespaceviennacl_1_1linalg_1_1detail_1_1amg_html_ac6c981d0cfcfdc804bc906234b42f4cb"><div class="ttname"><a href="namespaceviennacl_1_1linalg_1_1detail_1_1amg.html#ac6c981d0cfcfdc804bc906234b42f4cb">viennacl::linalg::detail::amg::amg_interpol</a></div><div class="ttdeci">void amg_interpol(compressed_matrix< NumericT > const &A, compressed_matrix< NumericT > &P, AMGContextT &amg_context, amg_tag &tag)</div><div class="ttdef"><b>Definition:</b> <a href="amg__operations_8hpp_source.html#l00103">amg_operations.hpp:103</a></div></div>
<div class="ttc" id="classviennacl_1_1linalg_1_1amg__precond_3_01compressed__matrix_3_01_numeric_t_00_01_alignment_v_01_4_01_4_html_ac343e007ddc01d12a893a2c9c9457e09"><div class="ttname"><a href="classviennacl_1_1linalg_1_1amg__precond_3_01compressed__matrix_3_01_numeric_t_00_01_alignment_v_01_4_01_4.html#ac343e007ddc01d12a893a2c9c9457e09">viennacl::linalg::amg_precond< compressed_matrix< NumericT, AlignmentV > >::size</a></div><div class="ttdeci">vcl_size_t size(vcl_size_t level) const </div><div class="ttdoc">Returns the problem/operator size at the respective multigrid level. </div><div class="ttdef"><b>Definition:</b> <a href="amg_8hpp_source.html#l00367">amg.hpp:367</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_a118a9164bc965f8ec728eda73a5e2450"><div class="ttname"><a href="namespaceviennacl_1_1linalg.html#a118a9164bc965f8ec728eda73a5e2450">viennacl::linalg::lu_substitute</a></div><div class="ttdeci">void lu_substitute(matrix< NumericT, F1, AlignmentV1 > const &A, matrix< NumericT, F2, AlignmentV2 > &B)</div><div class="ttdoc">LU substitution for the system LU = rhs. </div><div class="ttdef"><b>Definition:</b> <a href="lu_8hpp_source.html#l00201">lu.hpp:201</a></div></div>
<div class="ttc" id="namespaceviennacl_1_1linalg_1_1detail_html_a8304f0ec7b9d0417a342aaed81431835"><div class="ttname"><a href="namespaceviennacl_1_1linalg_1_1detail.html#a8304f0ec7b9d0417a342aaed81431835">viennacl::linalg::detail::amg_lu</a></div><div class="ttdeci">void amg_lu(viennacl::matrix< NumericT > &op, SparseMatrixT const &A, amg_tag const &tag)</div><div class="ttdoc">Pre-compute LU factorization for direct solve (ublas library). </div><div class="ttdef"><b>Definition:</b> <a href="amg_8hpp_source.html#l00236">amg.hpp:236</a></div></div>
<div class="ttc" id="classviennacl_1_1linalg_1_1amg__precond_3_01compressed__matrix_3_01_numeric_t_00_01_alignment_v_01_4_01_4_html_ae9eee454451fa7192489007ff195bee0"><div class="ttname"><a href="classviennacl_1_1linalg_1_1amg__precond_3_01compressed__matrix_3_01_numeric_t_00_01_alignment_v_01_4_01_4.html#ae9eee454451fa7192489007ff195bee0">viennacl::linalg::amg_precond< compressed_matrix< NumericT, AlignmentV > >::levels</a></div><div class="ttdeci">vcl_size_t levels() const </div><div class="ttdoc">Returns the total number of multigrid levels in the hierarchy including the finest level...</div><div class="ttdef"><b>Definition:</b> <a href="amg_8hpp_source.html#l00360">amg.hpp:360</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_1matrix_html"><div class="ttname"><a href="classviennacl_1_1matrix.html">viennacl::matrix< NumericT ></a></div></div>
<div class="ttc" id="namespaceviennacl_1_1linalg_1_1detail_1_1amg_html_a6d7bedbd7fc8f6aa53a05f4fdab6d196"><div class="ttname"><a href="namespaceviennacl_1_1linalg_1_1detail_1_1amg.html#a6d7bedbd7fc8f6aa53a05f4fdab6d196">viennacl::linalg::detail::amg::amg_coarse</a></div><div class="ttdeci">void amg_coarse(compressed_matrix< NumericT > const &A, AMGContextT &amg_context, amg_tag &tag)</div><div class="ttdef"><b>Definition:</b> <a href="amg__operations_8hpp_source.html#l00077">amg_operations.hpp:77</a></div></div>
<div class="ttc" id="classviennacl_1_1linalg_1_1amg__tag_html_a46a73d0777b27f7e6a67645c69ed5d22"><div class="ttname"><a href="classviennacl_1_1linalg_1_1amg__tag.html#a46a73d0777b27f7e6a67645c69ed5d22">viennacl::linalg::amg_tag::get_coarsening_cutoff</a></div><div class="ttdeci">vcl_size_t get_coarsening_cutoff() const </div><div class="ttdoc">Returns the coarse grid size for which the recursive multigrid scheme is stopped and a direct solver ...</div><div class="ttdef"><b>Definition:</b> <a href="amg__base_8hpp_source.html#l00133">amg_base.hpp:133</a></div></div>
<div class="ttc" id="namespaceviennacl_1_1linalg_1_1detail_html_a1c1a1f8971b25ae6622b7b8e50e728d8"><div class="ttname"><a href="namespaceviennacl_1_1linalg_1_1detail.html#a1c1a1f8971b25ae6622b7b8e50e728d8">viennacl::linalg::detail::amg_setup_apply</a></div><div class="ttdeci">void amg_setup_apply(InternalVectorT &result, InternalVectorT &result_backup, InternalVectorT &rhs, InternalVectorT &residual, SparseMatrixT const &A, vcl_size_t coarse_levels, amg_tag const &tag)</div><div class="ttdoc">Setup data structures for precondition phase for later use on the GPU. </div><div class="ttdef"><b>Definition:</b> <a href="amg_8hpp_source.html#l00199">amg.hpp:199</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="namespaceviennacl_1_1linalg_1_1detail_html_a178fed3977c23a15411a659d3884f07a"><div class="ttname"><a href="namespaceviennacl_1_1linalg_1_1detail.html#a178fed3977c23a15411a659d3884f07a">viennacl::linalg::detail::amg_init</a></div><div class="ttdeci">void amg_init(MatrixT const &mat, InternalT1 &list_of_A, InternalT1 &list_of_P, InternalT1 &list_of_R, InternalT2 &list_of_amg_level_context, amg_tag &tag)</div><div class="ttdoc">Initialize AMG preconditioner. </div><div class="ttdef"><b>Definition:</b> <a href="amg_8hpp_source.html#l00169">amg.hpp:169</a></div></div>
<div class="ttc" id="classviennacl_1_1matrix_html_a69431725e09b2b73606dee084c962d7f"><div class="ttname"><a href="classviennacl_1_1matrix.html#a69431725e09b2b73606dee084c962d7f">viennacl::matrix::resize</a></div><div class="ttdeci">void resize(size_type rows, size_type columns, bool preserve=true)</div><div class="ttdoc">Resizes the matrix. Existing entries can optionally be preserved. </div><div class="ttdef"><b>Definition:</b> <a href="matrix_8hpp_source.html#l00813">matrix.hpp:813</a></div></div>
<div class="ttc" id="amg_8hpp_html_aec49e82ddd8b8588ba2d2048b4c063d4"><div class="ttname"><a href="amg_8hpp.html#aec49e82ddd8b8588ba2d2048b4c063d4">VIENNACL_AMG_MAX_LEVELS</a></div><div class="ttdeci">#define VIENNACL_AMG_MAX_LEVELS</div><div class="ttdef"><b>Definition:</b> <a href="amg_8hpp_source.html#l00048">amg.hpp:48</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_1amg__tag_html_af3cab1d0755109166556d0840b256bed"><div class="ttname"><a href="classviennacl_1_1linalg_1_1amg__tag.html#af3cab1d0755109166556d0840b256bed">viennacl::linalg::amg_tag::get_target_context</a></div><div class="ttdeci">viennacl::context const & get_target_context() const </div><div class="ttdoc">Returns the ViennaCL context for the solver cycle stage (i.e. preconditioner applications). </div><div class="ttdef"><b>Definition:</b> <a href="amg__base_8hpp_source.html#l00150">amg_base.hpp:150</a></div></div>
<div class="ttc" id="classviennacl_1_1matrix__base_html_a89b777f4dbd07ecc26f251192107539d"><div class="ttname"><a href="classviennacl_1_1matrix__base.html#a89b777f4dbd07ecc26f251192107539d">viennacl::matrix_base::switch_memory_context</a></div><div class="ttdeci">void switch_memory_context(viennacl::context new_ctx)</div><div class="ttdef"><b>Definition:</b> <a href="matrix__def_8hpp_source.html#l00249">matrix_def.hpp:249</a></div></div>
<div class="ttc" id="namespaceviennacl_1_1linalg_1_1detail_1_1amg_html_a7da349de29bec5384117238383f88e70"><div class="ttname"><a href="namespaceviennacl_1_1linalg_1_1detail_1_1amg.html#a7da349de29bec5384117238383f88e70">viennacl::linalg::detail::amg::assign_to_dense</a></div><div class="ttdeci">viennacl::enable_if< viennacl::is_any_sparse_matrix< SparseMatrixType >::value >::type assign_to_dense(SparseMatrixType const &A, viennacl::matrix_base< NumericT > &B)</div><div class="ttdef"><b>Definition:</b> <a href="amg__operations_8hpp_source.html#l00174">amg_operations.hpp:174</a></div></div>
<div class="ttc" id="classviennacl_1_1linalg_1_1amg__coarse__problem__too__large__exception_html_a9ab9f7043339193e57e250007c547aae"><div class="ttname"><a href="classviennacl_1_1linalg_1_1amg__coarse__problem__too__large__exception.html#a9ab9f7043339193e57e250007c547aae">viennacl::linalg::amg_coarse_problem_too_large_exception::coarse_points</a></div><div class="ttdeci">vcl_size_t coarse_points() const </div><div class="ttdoc">Returns the number of coarse points for which no further coarsening could be applied. </div><div class="ttdef"><b>Definition:</b> <a href="amg_8hpp_source.html#l00061">amg.hpp:61</a></div></div>
<div class="ttc" id="namespaceviennacl_1_1linalg_1_1detail_1_1amg_html_a29ea7b468b23bb30826c1f94e6671147"><div class="ttname"><a href="namespaceviennacl_1_1linalg_1_1detail_1_1amg.html#a29ea7b468b23bb30826c1f94e6671147">viennacl::linalg::detail::amg::smooth_jacobi</a></div><div class="ttdeci">void smooth_jacobi(unsigned int iterations, compressed_matrix< NumericT > const &A, vector< NumericT > &x, vector< NumericT > &x_backup, vector< NumericT > const &rhs_smooth, NumericT weight)</div><div class="ttdef"><b>Definition:</b> <a href="amg__operations_8hpp_source.html#l00203">amg_operations.hpp:203</a></div></div>
<div class="ttc" id="compressed__matrix_8hpp_html"><div class="ttname"><a href="compressed__matrix_8hpp.html">compressed_matrix.hpp</a></div><div class="ttdoc">Implementation of the compressed_matrix class. </div></div>
<div class="ttc" id="sparse__matrix__operations_8hpp_html"><div class="ttname"><a href="sparse__matrix__operations_8hpp.html">sparse_matrix_operations.hpp</a></div><div class="ttdoc">Implementations of operations using sparse matrices. </div></div>
<div class="ttc" id="classviennacl_1_1linalg_1_1amg__precond_html"><div class="ttname"><a href="classviennacl_1_1linalg_1_1amg__precond.html">viennacl::linalg::amg_precond</a></div><div class="ttdoc">AMG preconditioner class, can be supplied to solve()-routines. </div><div class="ttdef"><b>Definition:</b> <a href="amg_8hpp_source.html#l00253">amg.hpp:253</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="namespaceviennacl_1_1linalg_1_1detail_1_1amg_html_a7e086cf2c9179128585159e368b450a2"><div class="ttname"><a href="namespaceviennacl_1_1linalg_1_1detail_1_1amg.html#a7e086cf2c9179128585159e368b450a2">viennacl::linalg::detail::amg::amg_transpose</a></div><div class="ttdeci">void amg_transpose(compressed_matrix< NumericT > &A, compressed_matrix< NumericT > &B)</div><div class="ttdef"><b>Definition:</b> <a href="amg__operations_8hpp_source.html#l00132">amg_operations.hpp:132</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="classviennacl_1_1linalg_1_1amg__precond_3_01compressed__matrix_3_01_numeric_t_00_01_alignment_v_01_4_01_4_html_a0daa8b3ccddfd195c4cf4c55601dcc3b"><div class="ttname"><a href="classviennacl_1_1linalg_1_1amg__precond_3_01compressed__matrix_3_01_numeric_t_00_01_alignment_v_01_4_01_4.html#a0daa8b3ccddfd195c4cf4c55601dcc3b">viennacl::linalg::amg_precond< compressed_matrix< NumericT, AlignmentV > >::tag</a></div><div class="ttdeci">amg_tag const & tag() const </div><div class="ttdoc">Returns the associated preconditioner tag containing the configuration for the multigrid precondition...</div><div class="ttdef"><b>Definition:</b> <a href="amg_8hpp_source.html#l00374">amg.hpp:374</a></div></div>
<div class="ttc" id="classviennacl_1_1linalg_1_1amg__coarse__problem__too__large__exception_html"><div class="ttname"><a href="classviennacl_1_1linalg_1_1amg__coarse__problem__too__large__exception.html">viennacl::linalg::amg_coarse_problem_too_large_exception</a></div><div class="ttdef"><b>Definition:</b> <a href="amg_8hpp_source.html#l00055">amg.hpp:55</a></div></div>
<div class="ttc" id="lu_8hpp_html"><div class="ttname"><a href="lu_8hpp.html">lu.hpp</a></div><div class="ttdoc">Implementations of LU factorization for row-major and column-major dense matrices. </div></div>
<div class="ttc" id="direct__solve_8hpp_html"><div class="ttname"><a href="direct__solve_8hpp.html">direct_solve.hpp</a></div><div class="ttdoc">Implementations of dense direct solvers are found here. </div></div>
<div class="ttc" id="classviennacl_1_1linalg_1_1amg__precond_3_01compressed__matrix_3_01_numeric_t_00_01_alignment_v_01_4_01_4_html_a29fa521d8d197ef48625fb3136a0b5c7"><div class="ttname"><a href="classviennacl_1_1linalg_1_1amg__precond_3_01compressed__matrix_3_01_numeric_t_00_01_alignment_v_01_4_01_4.html#a29fa521d8d197ef48625fb3136a0b5c7">viennacl::linalg::amg_precond< compressed_matrix< NumericT, AlignmentV > >::amg_precond</a></div><div class="ttdeci">amg_precond()</div><div class="ttdef"><b>Definition:</b> <a href="amg_8hpp_source.html#l00269">amg.hpp:269</a></div></div>
<div class="ttc" id="classviennacl_1_1linalg_1_1amg__precond_3_01compressed__matrix_3_01_numeric_t_00_01_alignment_v_01_4_01_4_html_a6753c39f2335407f6c15add355c79dbb"><div class="ttname"><a href="classviennacl_1_1linalg_1_1amg__precond_3_01compressed__matrix_3_01_numeric_t_00_01_alignment_v_01_4_01_4.html#a6753c39f2335407f6c15add355c79dbb">viennacl::linalg::amg_precond< compressed_matrix< NumericT, AlignmentV > >::amg_precond</a></div><div class="ttdeci">amg_precond(compressed_matrix< NumericT, AlignmentV > const &mat, amg_tag const &tag)</div><div class="ttdoc">The constructor. Builds data structures. </div><div class="ttdef"><b>Definition:</b> <a href="amg_8hpp_source.html#l00276">amg.hpp:276</a></div></div>
<div class="ttc" id="classviennacl_1_1linalg_1_1amg__tag_html_aaf8b264b0815ace331e56affb09fe4fb"><div class="ttname"><a href="classviennacl_1_1linalg_1_1amg__tag.html#aaf8b264b0815ace331e56affb09fe4fb">viennacl::linalg::amg_tag::get_coarse_levels</a></div><div class="ttdeci">vcl_size_t get_coarse_levels() const </div><div class="ttdoc">Returns the number of coarse levels. If zero, then coarse levels are constructed until the cutoff siz...</div><div class="ttdef"><b>Definition:</b> <a href="amg__base_8hpp_source.html#l00128">amg_base.hpp:128</a></div></div>
<div class="ttc" id="timer_8hpp_html"><div class="ttname"><a href="timer_8hpp.html">timer.hpp</a></div><div class="ttdoc">A simple, yet (mostly) sufficiently accurate timer for benchmarking and profiling. </div></div>
<div class="ttc" id="classviennacl_1_1linalg_1_1amg__tag_html"><div class="ttname"><a href="classviennacl_1_1linalg_1_1amg__tag.html">viennacl::linalg::amg_tag</a></div><div class="ttdoc">A tag for algebraic multigrid (AMG). Used to transport information from the user to the implementatio...</div><div class="ttdef"><b>Definition:</b> <a href="amg__base_8hpp_source.html#l00064">amg_base.hpp:64</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="classviennacl_1_1linalg_1_1amg__precond_3_01compressed__matrix_3_01_numeric_t_00_01_alignment_v_01_4_01_4_html_ab19fc3bc1120992a264b2e4816cc99c4"><div class="ttname"><a href="classviennacl_1_1linalg_1_1amg__precond_3_01compressed__matrix_3_01_numeric_t_00_01_alignment_v_01_4_01_4.html#ab19fc3bc1120992a264b2e4816cc99c4">viennacl::linalg::amg_precond< compressed_matrix< NumericT, AlignmentV > >::setup</a></div><div class="ttdeci">void setup()</div><div class="ttdoc">Start setup phase for this class and copy data structures. </div><div class="ttdef"><b>Definition:</b> <a href="amg_8hpp_source.html#l00287">amg.hpp:287</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="namespaceviennacl_1_1linalg_1_1detail_html_af7b9c200aae8697ad72e84383ea41235"><div class="ttname"><a href="namespaceviennacl_1_1linalg_1_1detail.html#af7b9c200aae8697ad72e84383ea41235">viennacl::linalg::detail::amg_setup</a></div><div class="ttdeci">vcl_size_t amg_setup(std::vector< compressed_matrix< NumericT > > &list_of_A, std::vector< compressed_matrix< NumericT > > &list_of_P, std::vector< compressed_matrix< NumericT > > &list_of_R, AMGContextListT &list_of_amg_level_context, amg_tag &tag)</div><div class="ttdoc">Setup AMG preconditioner. </div><div class="ttdef"><b>Definition:</b> <a href="amg_8hpp_source.html#l00105">amg.hpp:105</a></div></div>
<div class="ttc" id="amg__base_8hpp_html"><div class="ttname"><a href="amg__base_8hpp.html">amg_base.hpp</a></div><div class="ttdoc">Helper classes and functions for the AMG preconditioner. Experimental. </div></div>
<div class="ttc" id="classviennacl_1_1linalg_1_1amg__coarse__problem__too__large__exception_html_a19154e60a774a4e2788d0e91ca4eee74"><div class="ttname"><a href="classviennacl_1_1linalg_1_1amg__coarse__problem__too__large__exception.html#a19154e60a774a4e2788d0e91ca4eee74">viennacl::linalg::amg_coarse_problem_too_large_exception::amg_coarse_problem_too_large_exception</a></div><div class="ttdeci">amg_coarse_problem_too_large_exception(std::string const &msg, vcl_size_t num_points)</div><div class="ttdef"><b>Definition:</b> <a href="amg_8hpp_source.html#l00058">amg.hpp:58</a></div></div>
<div class="ttc" id="amg__operations_8hpp_html"><div class="ttname"><a href="amg__operations_8hpp.html">amg_operations.hpp</a></div><div class="ttdoc">Implementations of operations for algebraic multigrid. </div></div>
<div class="ttc" id="namespaceviennacl_1_1linalg_1_1detail_html_ad99081b48c19672cd03b8f5ca82a23d7"><div class="ttname"><a href="namespaceviennacl_1_1linalg_1_1detail.html#ad99081b48c19672cd03b8f5ca82a23d7">viennacl::linalg::detail::amg_galerkin_prod</a></div><div class="ttdeci">void amg_galerkin_prod(compressed_matrix< NumericT > &A_fine, compressed_matrix< NumericT > &P, compressed_matrix< NumericT > &R, compressed_matrix< NumericT > &A_coarse)</div><div class="ttdoc">Sparse Galerkin product: Calculates A_coarse = trans(P)*A_fine*P = R*A_fine*P. </div><div class="ttdef"><b>Definition:</b> <a href="amg_8hpp_source.html#l00078">amg.hpp:78</a></div></div>
<div class="ttc" id="namespaceviennacl_1_1linalg_html_a1050039fb153ae8ad818390a30f96bc4"><div class="ttname"><a href="namespaceviennacl_1_1linalg.html#a1050039fb153ae8ad818390a30f96bc4">viennacl::linalg::lu_factorize</a></div><div class="ttdeci">void lu_factorize(matrix< NumericT, viennacl::row_major > &A)</div><div class="ttdoc">LU factorization of a row-major dense matrix. </div><div class="ttdef"><b>Definition:</b> <a href="lu_8hpp_source.html#l00042">lu.hpp:42</a></div></div>
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