1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
258
259
260
261
262
263
264
265
266
267
268
269
270
271
272
273
274
275
276
277
278
279
280
281
282
283
284
285
286
287
288
289
290
291
292
293
294
295
296
297
298
299
300
301
302
303
304
305
306
307
308
309
310
311
312
313
314
315
316
317
318
319
320
321
322
323
324
325
326
327
328
329
330
331
332
333
334
335
336
337
|
<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd">
<html xmlns="http://www.w3.org/1999/xhtml">
<head>
<meta http-equiv="Content-Type" content="text/xhtml;charset=UTF-8"/>
<meta http-equiv="X-UA-Compatible" content="IE=9"/>
<meta name="generator" content="Doxygen 1.8.6"/>
<title>ViennaCL - The Vienna Computing Library: viennacl/linalg/lu.hpp Source File</title>
<link href="tabs.css" rel="stylesheet" type="text/css"/>
<script type="text/javascript" src="jquery.js"></script>
<script type="text/javascript" src="dynsections.js"></script>
<link href="navtree.css" rel="stylesheet" type="text/css"/>
<script type="text/javascript" src="resize.js"></script>
<script type="text/javascript" src="navtree.js"></script>
<script type="text/javascript">
$(document).ready(initResizable);
$(window).load(resizeHeight);
</script>
<link href="search/search.css" rel="stylesheet" type="text/css"/>
<script type="text/javascript" src="search/search.js"></script>
<script type="text/javascript">
$(document).ready(function() { searchBox.OnSelectItem(0); });
</script>
<link href="doxygen.css" rel="stylesheet" type="text/css" />
</head>
<body>
<div id="top"><!-- do not remove this div, it is closed by doxygen! -->
<div id="titlearea">
<table cellspacing="0" cellpadding="0">
<tbody>
<tr style="height: 56px;">
<td style="padding-left: 0.5em;">
<div id="projectname">ViennaCL - The Vienna Computing Library
 <span id="projectnumber">1.7.1</span>
</div>
<div id="projectbrief">Free open-source GPU-accelerated linear algebra and solver library.</div>
</td>
<td> <div id="MSearchBox" class="MSearchBoxInactive">
<span class="left">
<img id="MSearchSelect" src="search/mag_sel.png"
onmouseover="return searchBox.OnSearchSelectShow()"
onmouseout="return searchBox.OnSearchSelectHide()"
alt=""/>
<input type="text" id="MSearchField" value="Search" accesskey="S"
onfocus="searchBox.OnSearchFieldFocus(true)"
onblur="searchBox.OnSearchFieldFocus(false)"
onkeyup="searchBox.OnSearchFieldChange(event)"/>
</span><span class="right">
<a id="MSearchClose" href="javascript:searchBox.CloseResultsWindow()"><img id="MSearchCloseImg" border="0" src="search/close.png" alt=""/></a>
</span>
</div>
</td>
</tr>
</tbody>
</table>
</div>
<!-- end header part -->
<!-- Generated by Doxygen 1.8.6 -->
<script type="text/javascript">
var searchBox = new SearchBox("searchBox", "search",false,'Search');
</script>
</div><!-- top -->
<div id="side-nav" class="ui-resizable side-nav-resizable">
<div id="nav-tree">
<div id="nav-tree-contents">
<div id="nav-sync" class="sync"></div>
</div>
</div>
<div id="splitbar" style="-moz-user-select:none;"
class="ui-resizable-handle">
</div>
</div>
<script type="text/javascript">
$(document).ready(function(){initNavTree('lu_8hpp_source.html','');});
</script>
<div id="doc-content">
<!-- window showing the filter options -->
<div id="MSearchSelectWindow"
onmouseover="return searchBox.OnSearchSelectShow()"
onmouseout="return searchBox.OnSearchSelectHide()"
onkeydown="return searchBox.OnSearchSelectKey(event)">
<a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(0)"><span class="SelectionMark"> </span>All</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(1)"><span class="SelectionMark"> </span>Classes</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(2)"><span class="SelectionMark"> </span>Namespaces</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(3)"><span class="SelectionMark"> </span>Files</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(4)"><span class="SelectionMark"> </span>Functions</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(5)"><span class="SelectionMark"> </span>Variables</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(6)"><span class="SelectionMark"> </span>Typedefs</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(7)"><span class="SelectionMark"> </span>Enumerations</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(8)"><span class="SelectionMark"> </span>Enumerator</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(9)"><span class="SelectionMark"> </span>Friends</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(10)"><span class="SelectionMark"> </span>Macros</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(11)"><span class="SelectionMark"> </span>Pages</a></div>
<!-- iframe showing the search results (closed by default) -->
<div id="MSearchResultsWindow">
<iframe src="javascript:void(0)" frameborder="0"
name="MSearchResults" id="MSearchResults">
</iframe>
</div>
<div class="header">
<div class="headertitle">
<div class="title">lu.hpp</div> </div>
</div><!--header-->
<div class="contents">
<a href="lu_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_LU_HPP</span></div>
<div class="line"><a name="l00002"></a><span class="lineno"> 2</span> <span class="preprocessor">#define VIENNACL_LINALG_LU_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="l00025"></a><span class="lineno"> 25</span> <span class="preprocessor">#include <algorithm></span> <span class="comment">//for std::min</span></div>
<div class="line"><a name="l00026"></a><span class="lineno"> 26</span> </div>
<div class="line"><a name="l00027"></a><span class="lineno"> 27</span> <span class="preprocessor">#include "<a class="code" href="matrix_8hpp.html">viennacl/matrix.hpp</a>"</span></div>
<div class="line"><a name="l00028"></a><span class="lineno"> 28</span> <span class="preprocessor">#include "<a class="code" href="matrix__proxy_8hpp.html">viennacl/matrix_proxy.hpp</a>"</span></div>
<div class="line"><a name="l00029"></a><span class="lineno"> 29</span> </div>
<div class="line"><a name="l00030"></a><span class="lineno"> 30</span> <span class="preprocessor">#include "<a class="code" href="prod_8hpp.html">viennacl/linalg/prod.hpp</a>"</span></div>
<div class="line"><a name="l00031"></a><span class="lineno"> 31</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="l00032"></a><span class="lineno"> 32</span> </div>
<div class="line"><a name="l00033"></a><span class="lineno"> 33</span> <span class="keyword">namespace </span>viennacl</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="keyword">namespace </span>linalg</div>
<div class="line"><a name="l00036"></a><span class="lineno"> 36</span> {</div>
<div class="line"><a name="l00041"></a><span class="lineno"> 41</span> <span class="keyword">template</span><<span class="keyword">typename</span> NumericT></div>
<div class="line"><a name="l00042"></a><span class="lineno"><a class="line" href="namespaceviennacl_1_1linalg.html#a1050039fb153ae8ad818390a30f96bc4"> 42</a></span> <span class="keywordtype">void</span> <a class="code" href="namespaceviennacl_1_1linalg.html#a1050039fb153ae8ad818390a30f96bc4">lu_factorize</a>(<a class="code" href="classviennacl_1_1matrix.html">matrix<NumericT, viennacl::row_major></a> & A)</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="keyword">typedef</span> <a class="code" href="classviennacl_1_1matrix.html">matrix<NumericT, viennacl::row_major></a> MatrixType;</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>  <a class="code" href="namespaceviennacl.html#a98a0afcc513111ffa0bd138f891930df">vcl_size_t</a> max_block_size = 32;</div>
<div class="line"><a name="l00047"></a><span class="lineno"> 47</span>  <a class="code" href="namespaceviennacl.html#a98a0afcc513111ffa0bd138f891930df">vcl_size_t</a> num_blocks = (A.<a class="code" href="classviennacl_1_1matrix__base.html#a4348766b3b9cb049f7acd6a795272dbe">size2</a>() - 1) / max_block_size + 1;</div>
<div class="line"><a name="l00048"></a><span class="lineno"> 48</span>  std::vector<NumericT> temp_buffer(A.<a class="code" href="classviennacl_1_1matrix__base.html#a00e30fdc61081a73995b54175a91d220">internal_size2</a>() * max_block_size);</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="comment">// Iterate over panels</span></div>
<div class="line"><a name="l00051"></a><span class="lineno"> 51</span>  <span class="keywordflow">for</span> (<a class="code" href="namespaceviennacl.html#a98a0afcc513111ffa0bd138f891930df">vcl_size_t</a> panel_id = 0; panel_id < num_blocks; ++panel_id)</div>
<div class="line"><a name="l00052"></a><span class="lineno"> 52</span>  {</div>
<div class="line"><a name="l00053"></a><span class="lineno"> 53</span>  <a class="code" href="namespaceviennacl.html#a98a0afcc513111ffa0bd138f891930df">vcl_size_t</a> row_start = panel_id * max_block_size;</div>
<div class="line"><a name="l00054"></a><span class="lineno"> 54</span>  <a class="code" href="namespaceviennacl.html#a98a0afcc513111ffa0bd138f891930df">vcl_size_t</a> current_block_size = std::min<vcl_size_t>(A.<a class="code" href="classviennacl_1_1matrix__base.html#a24e4f5fa27a1af5ad47e52a97c065d68">size1</a>() - row_start, max_block_size);</div>
<div class="line"><a name="l00055"></a><span class="lineno"> 55</span> </div>
<div class="line"><a name="l00056"></a><span class="lineno"> 56</span>  <a class="code" href="classviennacl_1_1basic__range.html">viennacl::range</a> block_range(row_start, row_start + current_block_size);</div>
<div class="line"><a name="l00057"></a><span class="lineno"> 57</span>  <a class="code" href="classviennacl_1_1basic__range.html">viennacl::range</a> remainder_range(row_start + current_block_size, A.<a class="code" href="classviennacl_1_1matrix__base.html#a24e4f5fa27a1af5ad47e52a97c065d68">size1</a>());</div>
<div class="line"><a name="l00058"></a><span class="lineno"> 58</span> </div>
<div class="line"><a name="l00059"></a><span class="lineno"> 59</span>  <span class="comment">//</span></div>
<div class="line"><a name="l00060"></a><span class="lineno"> 60</span>  <span class="comment">// Perform LU factorization on panel:</span></div>
<div class="line"><a name="l00061"></a><span class="lineno"> 61</span>  <span class="comment">//</span></div>
<div class="line"><a name="l00062"></a><span class="lineno"> 62</span> </div>
<div class="line"><a name="l00063"></a><span class="lineno"> 63</span> </div>
<div class="line"><a name="l00064"></a><span class="lineno"> 64</span>  <span class="comment">// Read from matrix to buffer:</span></div>
<div class="line"><a name="l00065"></a><span class="lineno"> 65</span>  <a class="code" href="namespaceviennacl_1_1backend.html#a62854cfd6f04404b274f8ede36f63e2d">viennacl::backend::memory_read</a>(A.<a class="code" href="classviennacl_1_1matrix__base.html#a4082cd3586bc99deb68733257b30c51f">handle</a>(),</div>
<div class="line"><a name="l00066"></a><span class="lineno"> 66</span>  <span class="keyword">sizeof</span>(<a class="code" href="tests_2src_2bisect_8cpp.html#a52b5d30a2d7b064678644a3bf49b7f6c">NumericT</a>) * row_start * A.<a class="code" href="classviennacl_1_1matrix__base.html#a00e30fdc61081a73995b54175a91d220">internal_size2</a>(),</div>
<div class="line"><a name="l00067"></a><span class="lineno"> 67</span>  <span class="keyword">sizeof</span>(<a class="code" href="tests_2src_2bisect_8cpp.html#a52b5d30a2d7b064678644a3bf49b7f6c">NumericT</a>) * current_block_size * A.<a class="code" href="classviennacl_1_1matrix__base.html#a00e30fdc61081a73995b54175a91d220">internal_size2</a>(),</div>
<div class="line"><a name="l00068"></a><span class="lineno"> 68</span>  &(temp_buffer[0]));</div>
<div class="line"><a name="l00069"></a><span class="lineno"> 69</span> </div>
<div class="line"><a name="l00070"></a><span class="lineno"> 70</span>  <span class="comment">// Factorize (kij-version):</span></div>
<div class="line"><a name="l00071"></a><span class="lineno"> 71</span>  <span class="keywordflow">for</span> (<a class="code" href="namespaceviennacl.html#a98a0afcc513111ffa0bd138f891930df">vcl_size_t</a> k=0; k < current_block_size - 1; ++k)</div>
<div class="line"><a name="l00072"></a><span class="lineno"> 72</span>  {</div>
<div class="line"><a name="l00073"></a><span class="lineno"> 73</span>  <span class="keywordflow">for</span> (<a class="code" href="namespaceviennacl.html#a98a0afcc513111ffa0bd138f891930df">vcl_size_t</a> i=k+1; i < current_block_size; ++i)</div>
<div class="line"><a name="l00074"></a><span class="lineno"> 74</span>  {</div>
<div class="line"><a name="l00075"></a><span class="lineno"> 75</span>  temp_buffer[row_start + i * A.<a class="code" href="classviennacl_1_1matrix__base.html#a00e30fdc61081a73995b54175a91d220">internal_size2</a>() + k] /= temp_buffer[row_start + k * A.<a class="code" href="classviennacl_1_1matrix__base.html#a00e30fdc61081a73995b54175a91d220">internal_size2</a>() + k]; <span class="comment">// write l_ik</span></div>
<div class="line"><a name="l00076"></a><span class="lineno"> 76</span> </div>
<div class="line"><a name="l00077"></a><span class="lineno"> 77</span>  <a class="code" href="tests_2src_2bisect_8cpp.html#a52b5d30a2d7b064678644a3bf49b7f6c">NumericT</a> l_ik = temp_buffer[row_start + i * A.<a class="code" href="classviennacl_1_1matrix__base.html#a00e30fdc61081a73995b54175a91d220">internal_size2</a>() + k];</div>
<div class="line"><a name="l00078"></a><span class="lineno"> 78</span> </div>
<div class="line"><a name="l00079"></a><span class="lineno"> 79</span>  <span class="keywordflow">for</span> (<a class="code" href="namespaceviennacl.html#a98a0afcc513111ffa0bd138f891930df">vcl_size_t</a> j = row_start + k + 1; j < A.<a class="code" href="classviennacl_1_1matrix__base.html#a24e4f5fa27a1af5ad47e52a97c065d68">size1</a>(); ++j)</div>
<div class="line"><a name="l00080"></a><span class="lineno"> 80</span>  temp_buffer[i * A.<a class="code" href="classviennacl_1_1matrix__base.html#a00e30fdc61081a73995b54175a91d220">internal_size2</a>() + j] -= l_ik * temp_buffer[k * A.<a class="code" href="classviennacl_1_1matrix__base.html#a00e30fdc61081a73995b54175a91d220">internal_size2</a>() + j]; <span class="comment">// l_ik * a_kj</span></div>
<div class="line"><a name="l00081"></a><span class="lineno"> 81</span>  }</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>  <span class="comment">// Write back:</span></div>
<div class="line"><a name="l00085"></a><span class="lineno"> 85</span>  <a class="code" href="namespaceviennacl_1_1backend.html#a06bdedb2bc72dc1922cada91e9bbbd61">viennacl::backend::memory_write</a>(A.<a class="code" href="classviennacl_1_1matrix__base.html#a4082cd3586bc99deb68733257b30c51f">handle</a>(),</div>
<div class="line"><a name="l00086"></a><span class="lineno"> 86</span>  <span class="keyword">sizeof</span>(<a class="code" href="tests_2src_2bisect_8cpp.html#a52b5d30a2d7b064678644a3bf49b7f6c">NumericT</a>) * row_start * A.<a class="code" href="classviennacl_1_1matrix__base.html#a00e30fdc61081a73995b54175a91d220">internal_size2</a>(),</div>
<div class="line"><a name="l00087"></a><span class="lineno"> 87</span>  <span class="keyword">sizeof</span>(<a class="code" href="tests_2src_2bisect_8cpp.html#a52b5d30a2d7b064678644a3bf49b7f6c">NumericT</a>) * current_block_size * A.<a class="code" href="classviennacl_1_1matrix__base.html#a00e30fdc61081a73995b54175a91d220">internal_size2</a>(),</div>
<div class="line"><a name="l00088"></a><span class="lineno"> 88</span>  &(temp_buffer[0]));</div>
<div class="line"><a name="l00089"></a><span class="lineno"> 89</span> </div>
<div class="line"><a name="l00090"></a><span class="lineno"> 90</span>  <span class="keywordflow">if</span> (remainder_range.size() > 0)</div>
<div class="line"><a name="l00091"></a><span class="lineno"> 91</span>  {</div>
<div class="line"><a name="l00092"></a><span class="lineno"> 92</span>  <span class="comment">//</span></div>
<div class="line"><a name="l00093"></a><span class="lineno"> 93</span>  <span class="comment">// Compute L_12 = [ (U_11)^{T}^{-1} A_{21}^T ]^T</span></div>
<div class="line"><a name="l00094"></a><span class="lineno"> 94</span>  <span class="comment">//</span></div>
<div class="line"><a name="l00095"></a><span class="lineno"> 95</span>  <a class="code" href="classviennacl_1_1matrix__range.html">viennacl::matrix_range<MatrixType></a> U_11(A, block_range, block_range);</div>
<div class="line"><a name="l00096"></a><span class="lineno"> 96</span>  <a class="code" href="classviennacl_1_1matrix__range.html">viennacl::matrix_range<MatrixType></a> A_21(A, remainder_range, block_range);</div>
<div class="line"><a name="l00097"></a><span class="lineno"> 97</span>  <a class="code" href="namespaceviennacl_1_1linalg.html#adf06f61be9418e5817eed66004f9dd2b">viennacl::linalg::inplace_solve</a>(<a class="code" href="namespaceviennacl_1_1linalg.html#ad88c948ebe30524e225cb523fe6f6cd7">trans</a>(U_11), <a class="code" href="namespaceviennacl_1_1linalg.html#ad88c948ebe30524e225cb523fe6f6cd7">trans</a>(A_21), <a class="code" href="structviennacl_1_1linalg_1_1lower__tag.html">viennacl::linalg::lower_tag</a>());</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">//</span></div>
<div class="line"><a name="l00100"></a><span class="lineno"> 100</span>  <span class="comment">// Update remainder of A</span></div>
<div class="line"><a name="l00101"></a><span class="lineno"> 101</span>  <span class="comment">//</span></div>
<div class="line"><a name="l00102"></a><span class="lineno"> 102</span>  <a class="code" href="classviennacl_1_1matrix__range.html">viennacl::matrix_range<MatrixType></a> L_21(A, remainder_range, block_range);</div>
<div class="line"><a name="l00103"></a><span class="lineno"> 103</span>  <a class="code" href="classviennacl_1_1matrix__range.html">viennacl::matrix_range<MatrixType></a> U_12(A, block_range, remainder_range);</div>
<div class="line"><a name="l00104"></a><span class="lineno"> 104</span>  <a class="code" href="classviennacl_1_1matrix__range.html">viennacl::matrix_range<MatrixType></a> A_22(A, remainder_range, remainder_range);</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>  A_22 -= <a class="code" href="namespaceviennacl_1_1linalg.html#aa18d10f8a90e38bd9ff43c650fc670ef">viennacl::linalg::prod</a>(L_21, U_12);</div>
<div class="line"><a name="l00107"></a><span class="lineno"> 107</span>  }</div>
<div class="line"><a name="l00108"></a><span class="lineno"> 108</span>  }</div>
<div class="line"><a name="l00109"></a><span class="lineno"> 109</span> </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> </div>
<div class="line"><a name="l00112"></a><span class="lineno"> 112</span> </div>
<div class="line"><a name="l00117"></a><span class="lineno"> 117</span> <span class="keyword">template</span><<span class="keyword">typename</span> NumericT></div>
<div class="line"><a name="l00118"></a><span class="lineno"><a class="line" href="namespaceviennacl_1_1linalg.html#a81d79dbd3e481d712806e161aba77d3d"> 118</a></span> <span class="keywordtype">void</span> <a class="code" href="namespaceviennacl_1_1linalg.html#a1050039fb153ae8ad818390a30f96bc4">lu_factorize</a>(<a class="code" href="classviennacl_1_1matrix.html">matrix<NumericT, viennacl::column_major></a> & A)</div>
<div class="line"><a name="l00119"></a><span class="lineno"> 119</span> {</div>
<div class="line"><a name="l00120"></a><span class="lineno"> 120</span>  <span class="keyword">typedef</span> <a class="code" href="classviennacl_1_1matrix.html">matrix<NumericT, viennacl::column_major></a> MatrixType;</div>
<div class="line"><a name="l00121"></a><span class="lineno"> 121</span> </div>
<div class="line"><a name="l00122"></a><span class="lineno"> 122</span>  <a class="code" href="namespaceviennacl.html#a98a0afcc513111ffa0bd138f891930df">vcl_size_t</a> max_block_size = 32;</div>
<div class="line"><a name="l00123"></a><span class="lineno"> 123</span>  <a class="code" href="namespaceviennacl.html#a98a0afcc513111ffa0bd138f891930df">vcl_size_t</a> num_blocks = (A.<a class="code" href="classviennacl_1_1matrix__base.html#a24e4f5fa27a1af5ad47e52a97c065d68">size1</a>() - 1) / max_block_size + 1;</div>
<div class="line"><a name="l00124"></a><span class="lineno"> 124</span>  std::vector<NumericT> temp_buffer(A.<a class="code" href="classviennacl_1_1matrix__base.html#a82018b4e169973bdfb9d3be68ceb5be0">internal_size1</a>() * max_block_size);</div>
<div class="line"><a name="l00125"></a><span class="lineno"> 125</span> </div>
<div class="line"><a name="l00126"></a><span class="lineno"> 126</span>  <span class="comment">// Iterate over panels</span></div>
<div class="line"><a name="l00127"></a><span class="lineno"> 127</span>  <span class="keywordflow">for</span> (<a class="code" href="namespaceviennacl.html#a98a0afcc513111ffa0bd138f891930df">vcl_size_t</a> panel_id = 0; panel_id < num_blocks; ++panel_id)</div>
<div class="line"><a name="l00128"></a><span class="lineno"> 128</span>  {</div>
<div class="line"><a name="l00129"></a><span class="lineno"> 129</span>  <a class="code" href="namespaceviennacl.html#a98a0afcc513111ffa0bd138f891930df">vcl_size_t</a> col_start = panel_id * max_block_size;</div>
<div class="line"><a name="l00130"></a><span class="lineno"> 130</span>  <a class="code" href="namespaceviennacl.html#a98a0afcc513111ffa0bd138f891930df">vcl_size_t</a> current_block_size = std::min<vcl_size_t>(A.<a class="code" href="classviennacl_1_1matrix__base.html#a24e4f5fa27a1af5ad47e52a97c065d68">size1</a>() - col_start, max_block_size);</div>
<div class="line"><a name="l00131"></a><span class="lineno"> 131</span> </div>
<div class="line"><a name="l00132"></a><span class="lineno"> 132</span>  <a class="code" href="classviennacl_1_1basic__range.html">viennacl::range</a> block_range(col_start, col_start + current_block_size);</div>
<div class="line"><a name="l00133"></a><span class="lineno"> 133</span>  <a class="code" href="classviennacl_1_1basic__range.html">viennacl::range</a> remainder_range(col_start + current_block_size, A.<a class="code" href="classviennacl_1_1matrix__base.html#a24e4f5fa27a1af5ad47e52a97c065d68">size1</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>  <span class="comment">//</span></div>
<div class="line"><a name="l00136"></a><span class="lineno"> 136</span>  <span class="comment">// Perform LU factorization on panel:</span></div>
<div class="line"><a name="l00137"></a><span class="lineno"> 137</span>  <span class="comment">//</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> </div>
<div class="line"><a name="l00140"></a><span class="lineno"> 140</span>  <span class="comment">// Read from matrix to buffer:</span></div>
<div class="line"><a name="l00141"></a><span class="lineno"> 141</span>  <a class="code" href="namespaceviennacl_1_1backend.html#a62854cfd6f04404b274f8ede36f63e2d">viennacl::backend::memory_read</a>(A.<a class="code" href="classviennacl_1_1matrix__base.html#a4082cd3586bc99deb68733257b30c51f">handle</a>(),</div>
<div class="line"><a name="l00142"></a><span class="lineno"> 142</span>  <span class="keyword">sizeof</span>(<a class="code" href="tests_2src_2bisect_8cpp.html#a52b5d30a2d7b064678644a3bf49b7f6c">NumericT</a>) * col_start * A.<a class="code" href="classviennacl_1_1matrix__base.html#a82018b4e169973bdfb9d3be68ceb5be0">internal_size1</a>(),</div>
<div class="line"><a name="l00143"></a><span class="lineno"> 143</span>  <span class="keyword">sizeof</span>(<a class="code" href="tests_2src_2bisect_8cpp.html#a52b5d30a2d7b064678644a3bf49b7f6c">NumericT</a>) * current_block_size * A.<a class="code" href="classviennacl_1_1matrix__base.html#a82018b4e169973bdfb9d3be68ceb5be0">internal_size1</a>(),</div>
<div class="line"><a name="l00144"></a><span class="lineno"> 144</span>  &(temp_buffer[0]));</div>
<div class="line"><a name="l00145"></a><span class="lineno"> 145</span> </div>
<div class="line"><a name="l00146"></a><span class="lineno"> 146</span>  <span class="comment">// Factorize (kji-version):</span></div>
<div class="line"><a name="l00147"></a><span class="lineno"> 147</span>  <span class="keywordflow">for</span> (<a class="code" href="namespaceviennacl.html#a98a0afcc513111ffa0bd138f891930df">vcl_size_t</a> k=0; k < current_block_size; ++k)</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>  <a class="code" href="tests_2src_2bisect_8cpp.html#a52b5d30a2d7b064678644a3bf49b7f6c">NumericT</a> a_kk = temp_buffer[col_start + k + k * A.<a class="code" href="classviennacl_1_1matrix__base.html#a82018b4e169973bdfb9d3be68ceb5be0">internal_size1</a>()];</div>
<div class="line"><a name="l00150"></a><span class="lineno"> 150</span>  <span class="keywordflow">for</span> (<a class="code" href="namespaceviennacl.html#a98a0afcc513111ffa0bd138f891930df">vcl_size_t</a> i=col_start+k+1; i < A.<a class="code" href="classviennacl_1_1matrix__base.html#a24e4f5fa27a1af5ad47e52a97c065d68">size1</a>(); ++i)</div>
<div class="line"><a name="l00151"></a><span class="lineno"> 151</span>  temp_buffer[i + k * A.<a class="code" href="classviennacl_1_1matrix__base.html#a82018b4e169973bdfb9d3be68ceb5be0">internal_size1</a>()] /= a_kk; <span class="comment">// write l_ik</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>  <span class="keywordflow">for</span> (<a class="code" href="namespaceviennacl.html#a98a0afcc513111ffa0bd138f891930df">vcl_size_t</a> j=k+1; j < current_block_size; ++j)</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>  <a class="code" href="tests_2src_2bisect_8cpp.html#a52b5d30a2d7b064678644a3bf49b7f6c">NumericT</a> a_kj = temp_buffer[col_start + k + j * A.<a class="code" href="classviennacl_1_1matrix__base.html#a82018b4e169973bdfb9d3be68ceb5be0">internal_size1</a>()];</div>
<div class="line"><a name="l00156"></a><span class="lineno"> 156</span>  <span class="keywordflow">for</span> (<a class="code" href="namespaceviennacl.html#a98a0afcc513111ffa0bd138f891930df">vcl_size_t</a> i=col_start+k+1; i < A.<a class="code" href="classviennacl_1_1matrix__base.html#a24e4f5fa27a1af5ad47e52a97c065d68">size1</a>(); ++i)</div>
<div class="line"><a name="l00157"></a><span class="lineno"> 157</span>  temp_buffer[i + j * A.<a class="code" href="classviennacl_1_1matrix__base.html#a82018b4e169973bdfb9d3be68ceb5be0">internal_size1</a>()] -= temp_buffer[i + k * A.<a class="code" href="classviennacl_1_1matrix__base.html#a82018b4e169973bdfb9d3be68ceb5be0">internal_size1</a>()] * a_kj; <span class="comment">// l_ik * a_kj</span></div>
<div class="line"><a name="l00158"></a><span class="lineno"> 158</span>  }</div>
<div class="line"><a name="l00159"></a><span class="lineno"> 159</span>  }</div>
<div class="line"><a name="l00160"></a><span class="lineno"> 160</span> </div>
<div class="line"><a name="l00161"></a><span class="lineno"> 161</span>  <span class="comment">// Write back:</span></div>
<div class="line"><a name="l00162"></a><span class="lineno"> 162</span>  <a class="code" href="namespaceviennacl_1_1backend.html#a06bdedb2bc72dc1922cada91e9bbbd61">viennacl::backend::memory_write</a>(A.<a class="code" href="classviennacl_1_1matrix__base.html#a4082cd3586bc99deb68733257b30c51f">handle</a>(),</div>
<div class="line"><a name="l00163"></a><span class="lineno"> 163</span>  <span class="keyword">sizeof</span>(<a class="code" href="tests_2src_2bisect_8cpp.html#a52b5d30a2d7b064678644a3bf49b7f6c">NumericT</a>) * col_start * A.<a class="code" href="classviennacl_1_1matrix__base.html#a82018b4e169973bdfb9d3be68ceb5be0">internal_size1</a>(),</div>
<div class="line"><a name="l00164"></a><span class="lineno"> 164</span>  <span class="keyword">sizeof</span>(<a class="code" href="tests_2src_2bisect_8cpp.html#a52b5d30a2d7b064678644a3bf49b7f6c">NumericT</a>) * current_block_size * A.<a class="code" href="classviennacl_1_1matrix__base.html#a82018b4e169973bdfb9d3be68ceb5be0">internal_size1</a>(),</div>
<div class="line"><a name="l00165"></a><span class="lineno"> 165</span>  &(temp_buffer[0]));</div>
<div class="line"><a name="l00166"></a><span class="lineno"> 166</span> </div>
<div class="line"><a name="l00167"></a><span class="lineno"> 167</span>  <span class="keywordflow">if</span> (remainder_range.size() > 0)</div>
<div class="line"><a name="l00168"></a><span class="lineno"> 168</span>  {</div>
<div class="line"><a name="l00169"></a><span class="lineno"> 169</span>  <span class="comment">//</span></div>
<div class="line"><a name="l00170"></a><span class="lineno"> 170</span>  <span class="comment">// Compute U_12:</span></div>
<div class="line"><a name="l00171"></a><span class="lineno"> 171</span>  <span class="comment">//</span></div>
<div class="line"><a name="l00172"></a><span class="lineno"> 172</span>  <a class="code" href="classviennacl_1_1matrix__range.html">viennacl::matrix_range<MatrixType></a> L_11(A, block_range, block_range);</div>
<div class="line"><a name="l00173"></a><span class="lineno"> 173</span>  <a class="code" href="classviennacl_1_1matrix__range.html">viennacl::matrix_range<MatrixType></a> A_12(A, block_range, remainder_range);</div>
<div class="line"><a name="l00174"></a><span class="lineno"> 174</span>  <a class="code" href="namespaceviennacl_1_1linalg.html#adf06f61be9418e5817eed66004f9dd2b">viennacl::linalg::inplace_solve</a>(L_11, A_12, <a class="code" href="structviennacl_1_1linalg_1_1unit__lower__tag.html">viennacl::linalg::unit_lower_tag</a>());</div>
<div class="line"><a name="l00175"></a><span class="lineno"> 175</span> </div>
<div class="line"><a name="l00176"></a><span class="lineno"> 176</span>  <span class="comment">//</span></div>
<div class="line"><a name="l00177"></a><span class="lineno"> 177</span>  <span class="comment">// Update remainder of A</span></div>
<div class="line"><a name="l00178"></a><span class="lineno"> 178</span>  <span class="comment">//</span></div>
<div class="line"><a name="l00179"></a><span class="lineno"> 179</span>  <a class="code" href="classviennacl_1_1matrix__range.html">viennacl::matrix_range<MatrixType></a> L_21(A, remainder_range, block_range);</div>
<div class="line"><a name="l00180"></a><span class="lineno"> 180</span>  <a class="code" href="classviennacl_1_1matrix__range.html">viennacl::matrix_range<MatrixType></a> U_12(A, block_range, remainder_range);</div>
<div class="line"><a name="l00181"></a><span class="lineno"> 181</span>  <a class="code" href="classviennacl_1_1matrix__range.html">viennacl::matrix_range<MatrixType></a> A_22(A, remainder_range, remainder_range);</div>
<div class="line"><a name="l00182"></a><span class="lineno"> 182</span> </div>
<div class="line"><a name="l00183"></a><span class="lineno"> 183</span>  A_22 -= <a class="code" href="namespaceviennacl_1_1linalg.html#aa18d10f8a90e38bd9ff43c650fc670ef">viennacl::linalg::prod</a>(L_21, U_12);</div>
<div class="line"><a name="l00184"></a><span class="lineno"> 184</span>  }</div>
<div class="line"><a name="l00185"></a><span class="lineno"> 185</span> </div>
<div class="line"><a name="l00186"></a><span class="lineno"> 186</span>  }</div>
<div class="line"><a name="l00187"></a><span class="lineno"> 187</span> </div>
<div class="line"><a name="l00188"></a><span class="lineno"> 188</span> }</div>
<div class="line"><a name="l00189"></a><span class="lineno"> 189</span> </div>
<div class="line"><a name="l00190"></a><span class="lineno"> 190</span> </div>
<div class="line"><a name="l00191"></a><span class="lineno"> 191</span> <span class="comment">//</span></div>
<div class="line"><a name="l00192"></a><span class="lineno"> 192</span> <span class="comment">// Convenience layer:</span></div>
<div class="line"><a name="l00193"></a><span class="lineno"> 193</span> <span class="comment">//</span></div>
<div class="line"><a name="l00194"></a><span class="lineno"> 194</span> </div>
<div class="line"><a name="l00200"></a><span class="lineno"> 200</span> <span class="keyword">template</span><<span class="keyword">typename</span> NumericT, <span class="keyword">typename</span> F1, <span class="keyword">typename</span> F2, <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> AlignmentV1, <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> AlignmentV2></div>
<div class="line"><a name="l00201"></a><span class="lineno"><a class="line" href="namespaceviennacl_1_1linalg.html#a118a9164bc965f8ec728eda73a5e2450"> 201</a></span> <span class="keywordtype">void</span> <a class="code" href="namespaceviennacl_1_1linalg.html#a118a9164bc965f8ec728eda73a5e2450">lu_substitute</a>(<a class="code" href="classviennacl_1_1matrix.html">matrix<NumericT, F1, AlignmentV1></a> <span class="keyword">const</span> & A,</div>
<div class="line"><a name="l00202"></a><span class="lineno"> 202</span>  <a class="code" href="classviennacl_1_1matrix.html">matrix<NumericT, F2, AlignmentV2></a> & B)</div>
<div class="line"><a name="l00203"></a><span class="lineno"> 203</span> {</div>
<div class="line"><a name="l00204"></a><span class="lineno"> 204</span>  assert(A.<a class="code" href="classviennacl_1_1matrix__base.html#a24e4f5fa27a1af5ad47e52a97c065d68">size1</a>() == A.<a class="code" href="classviennacl_1_1matrix__base.html#a4348766b3b9cb049f7acd6a795272dbe">size2</a>() && bool(<span class="stringliteral">"Matrix must be square"</span>));</div>
<div class="line"><a name="l00205"></a><span class="lineno"> 205</span>  assert(A.<a class="code" href="classviennacl_1_1matrix__base.html#a24e4f5fa27a1af5ad47e52a97c065d68">size1</a>() == B.<a class="code" href="classviennacl_1_1matrix__base.html#a24e4f5fa27a1af5ad47e52a97c065d68">size1</a>() && bool(<span class="stringliteral">"Matrix must be square"</span>));</div>
<div class="line"><a name="l00206"></a><span class="lineno"> 206</span>  <a class="code" href="namespaceviennacl_1_1linalg.html#adf06f61be9418e5817eed66004f9dd2b">inplace_solve</a>(A, B, <a class="code" href="structviennacl_1_1linalg_1_1unit__lower__tag.html">unit_lower_tag</a>());</div>
<div class="line"><a name="l00207"></a><span class="lineno"> 207</span>  <a class="code" href="namespaceviennacl_1_1linalg.html#adf06f61be9418e5817eed66004f9dd2b">inplace_solve</a>(A, B, <a class="code" href="structviennacl_1_1linalg_1_1upper__tag.html">upper_tag</a>());</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> </div>
<div class="line"><a name="l00215"></a><span class="lineno"> 215</span> <span class="keyword">template</span><<span class="keyword">typename</span> NumericT, <span class="keyword">typename</span> F, <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> MatAlignmentV, <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> VecAlignmentV></div>
<div class="line"><a name="l00216"></a><span class="lineno"><a class="line" href="namespaceviennacl_1_1linalg.html#a76316cf22830919c49106c45d28480af"> 216</a></span> <span class="keywordtype">void</span> <a class="code" href="namespaceviennacl_1_1linalg.html#a118a9164bc965f8ec728eda73a5e2450">lu_substitute</a>(<a class="code" href="classviennacl_1_1matrix.html">matrix<NumericT, F, MatAlignmentV></a> <span class="keyword">const</span> & A,</div>
<div class="line"><a name="l00217"></a><span class="lineno"> 217</span>  <a class="code" href="classviennacl_1_1vector.html">vector<NumericT, VecAlignmentV></a> & vec)</div>
<div class="line"><a name="l00218"></a><span class="lineno"> 218</span> {</div>
<div class="line"><a name="l00219"></a><span class="lineno"> 219</span>  assert(A.<a class="code" href="classviennacl_1_1matrix__base.html#a24e4f5fa27a1af5ad47e52a97c065d68">size1</a>() == A.<a class="code" href="classviennacl_1_1matrix__base.html#a4348766b3b9cb049f7acd6a795272dbe">size2</a>() && bool(<span class="stringliteral">"Matrix must be square"</span>));</div>
<div class="line"><a name="l00220"></a><span class="lineno"> 220</span>  <a class="code" href="namespaceviennacl_1_1linalg.html#adf06f61be9418e5817eed66004f9dd2b">inplace_solve</a>(A, vec, <a class="code" href="structviennacl_1_1linalg_1_1unit__lower__tag.html">unit_lower_tag</a>());</div>
<div class="line"><a name="l00221"></a><span class="lineno"> 221</span>  <a class="code" href="namespaceviennacl_1_1linalg.html#adf06f61be9418e5817eed66004f9dd2b">inplace_solve</a>(A, vec, <a class="code" href="structviennacl_1_1linalg_1_1upper__tag.html">upper_tag</a>());</div>
<div class="line"><a name="l00222"></a><span class="lineno"> 222</span> }</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="l00227"></a><span class="lineno"> 227</span> <span class="preprocessor">#endif</span></div>
<div class="ttc" id="namespaceviennacl_1_1linalg_html_adf06f61be9418e5817eed66004f9dd2b"><div class="ttname"><a href="namespaceviennacl_1_1linalg.html#adf06f61be9418e5817eed66004f9dd2b">viennacl::linalg::inplace_solve</a></div><div class="ttdeci">void inplace_solve(const matrix_base< NumericT > &A, matrix_base< NumericT > &B, SolverTagT)</div><div class="ttdoc">Direct inplace solver for triangular systems with multiple right hand sides, i.e. A \ B (MATLAB notat...</div><div class="ttdef"><b>Definition:</b> <a href="direct__solve_8hpp_source.html#l00217">direct_solve.hpp:217</a></div></div>
<div class="ttc" id="namespaceviennacl_1_1backend_html_a06bdedb2bc72dc1922cada91e9bbbd61"><div class="ttname"><a href="namespaceviennacl_1_1backend.html#a06bdedb2bc72dc1922cada91e9bbbd61">viennacl::backend::memory_write</a></div><div class="ttdeci">void memory_write(mem_handle &dst_buffer, vcl_size_t dst_offset, vcl_size_t bytes_to_write, const void *ptr, bool async=false)</div><div class="ttdoc">Writes data from main RAM identified by 'ptr' to the buffer identified by 'dst_buffer'. </div><div class="ttdef"><b>Definition:</b> <a href="memory_8hpp_source.html#l00220">memory.hpp:220</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="matrix_8hpp_html"><div class="ttname"><a href="matrix_8hpp.html">matrix.hpp</a></div><div class="ttdoc">Implementation of the dense matrix class. </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="structviennacl_1_1linalg_1_1lower__tag_html"><div class="ttname"><a href="structviennacl_1_1linalg_1_1lower__tag.html">viennacl::linalg::lower_tag</a></div><div class="ttdoc">A tag class representing a lower triangular matrix. </div><div class="ttdef"><b>Definition:</b> <a href="forwards_8h_source.html#l00849">forwards.h:849</a></div></div>
<div class="ttc" id="classviennacl_1_1matrix_html"><div class="ttname"><a href="classviennacl_1_1matrix.html">viennacl::matrix</a></div><div class="ttdoc">A dense matrix class. </div><div class="ttdef"><b>Definition:</b> <a href="forwards_8h_source.html#l00375">forwards.h:375</a></div></div>
<div class="ttc" id="namespaceviennacl_1_1backend_html_a62854cfd6f04404b274f8ede36f63e2d"><div class="ttname"><a href="namespaceviennacl_1_1backend.html#a62854cfd6f04404b274f8ede36f63e2d">viennacl::backend::memory_read</a></div><div class="ttdeci">void memory_read(mem_handle const &src_buffer, vcl_size_t src_offset, vcl_size_t bytes_to_read, void *ptr, bool async=false)</div><div class="ttdoc">Reads data from a buffer back to main RAM. </div><div class="ttdef"><b>Definition:</b> <a href="memory_8hpp_source.html#l00261">memory.hpp:261</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_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="structviennacl_1_1linalg_1_1upper__tag_html"><div class="ttname"><a href="structviennacl_1_1linalg_1_1upper__tag.html">viennacl::linalg::upper_tag</a></div><div class="ttdoc">A tag class representing an upper triangular matrix. </div><div class="ttdef"><b>Definition:</b> <a href="forwards_8h_source.html#l00854">forwards.h:854</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_1matrix__base_html_a4348766b3b9cb049f7acd6a795272dbe"><div class="ttname"><a href="classviennacl_1_1matrix__base.html#a4348766b3b9cb049f7acd6a795272dbe">viennacl::matrix_base< NumericT >::size2</a></div><div class="ttdeci">size_type size2() const</div><div class="ttdoc">Returns the number of columns. </div><div class="ttdef"><b>Definition:</b> <a href="matrix__def_8hpp_source.html#l00226">matrix_def.hpp:226</a></div></div>
<div class="ttc" id="classviennacl_1_1matrix__base_html_a4082cd3586bc99deb68733257b30c51f"><div class="ttname"><a href="classviennacl_1_1matrix__base.html#a4082cd3586bc99deb68733257b30c51f">viennacl::matrix_base< NumericT >::handle</a></div><div class="ttdeci">handle_type & handle()</div><div class="ttdoc">Returns the OpenCL handle, non-const-version. </div><div class="ttdef"><b>Definition:</b> <a href="matrix__def_8hpp_source.html#l00244">matrix_def.hpp:244</a></div></div>
<div class="ttc" id="namespaceviennacl_1_1linalg_html_ad88c948ebe30524e225cb523fe6f6cd7"><div class="ttname"><a href="namespaceviennacl_1_1linalg.html#ad88c948ebe30524e225cb523fe6f6cd7">viennacl::linalg::trans</a></div><div class="ttdeci">void trans(const matrix_expression< const matrix_base< NumericT, SizeT, DistanceT >, const matrix_base< NumericT, SizeT, DistanceT >, op_trans > &proxy, matrix_base< NumericT > &temp_trans)</div><div class="ttdef"><b>Definition:</b> <a href="matrix__operations_8hpp_source.html#l00083">matrix_operations.hpp:83</a></div></div>
<div class="ttc" id="classviennacl_1_1vector_html"><div class="ttname"><a href="classviennacl_1_1vector.html">viennacl::vector</a></div><div class="ttdef"><b>Definition:</b> <a href="forwards_8h_source.html#l00266">forwards.h:266</a></div></div>
<div class="ttc" id="classviennacl_1_1matrix__base_html_a24e4f5fa27a1af5ad47e52a97c065d68"><div class="ttname"><a href="classviennacl_1_1matrix__base.html#a24e4f5fa27a1af5ad47e52a97c065d68">viennacl::matrix_base< NumericT >::size1</a></div><div class="ttdeci">size_type size1() const</div><div class="ttdoc">Returns the number of rows. </div><div class="ttdef"><b>Definition:</b> <a href="matrix__def_8hpp_source.html#l00224">matrix_def.hpp:224</a></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="matrix__proxy_8hpp_html"><div class="ttname"><a href="matrix__proxy_8hpp.html">matrix_proxy.hpp</a></div><div class="ttdoc">Proxy classes for matrices. </div></div>
<div class="ttc" id="classviennacl_1_1basic__range_html"><div class="ttname"><a href="classviennacl_1_1basic__range.html">viennacl::basic_range</a></div><div class="ttdoc">A range class that refers to an interval [start, stop), where 'start' is included, and 'stop' is excluded. </div><div class="ttdef"><b>Definition:</b> <a href="forwards_8h_source.html#l00424">forwards.h:424</a></div></div>
<div class="ttc" id="structviennacl_1_1linalg_1_1unit__lower__tag_html"><div class="ttname"><a href="structviennacl_1_1linalg_1_1unit__lower__tag.html">viennacl::linalg::unit_lower_tag</a></div><div class="ttdoc">A tag class representing a lower triangular matrix with unit diagonal. </div><div class="ttdef"><b>Definition:</b> <a href="forwards_8h_source.html#l00859">forwards.h:859</a></div></div>
<div class="ttc" id="classviennacl_1_1matrix__base_html_a00e30fdc61081a73995b54175a91d220"><div class="ttname"><a href="classviennacl_1_1matrix__base.html#a00e30fdc61081a73995b54175a91d220">viennacl::matrix_base< NumericT >::internal_size2</a></div><div class="ttdeci">size_type internal_size2() const</div><div class="ttdoc">Returns the internal number of columns. Usually required for launching OpenCL kernels only...</div><div class="ttdef"><b>Definition:</b> <a href="matrix__def_8hpp_source.html#l00240">matrix_def.hpp:240</a></div></div>
<div class="ttc" id="classviennacl_1_1matrix__range_html"><div class="ttname"><a href="classviennacl_1_1matrix__range.html">viennacl::matrix_range</a></div><div class="ttdoc">Class for representing non-strided submatrices of a bigger matrix A. </div><div class="ttdef"><b>Definition:</b> <a href="forwards_8h_source.html#l00440">forwards.h:440</a></div></div>
<div class="ttc" id="classviennacl_1_1matrix__base_html_a82018b4e169973bdfb9d3be68ceb5be0"><div class="ttname"><a href="classviennacl_1_1matrix__base.html#a82018b4e169973bdfb9d3be68ceb5be0">viennacl::matrix_base< NumericT >::internal_size1</a></div><div class="ttdeci">size_type internal_size1() const</div><div class="ttdoc">Returns the internal number of rows. Usually required for launching OpenCL kernels only...</div><div class="ttdef"><b>Definition:</b> <a href="matrix__def_8hpp_source.html#l00238">matrix_def.hpp:238</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>
</div><!-- fragment --></div><!-- contents -->
</div><!-- doc-content -->
<!-- start footer part -->
<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
<ul>
<li class="navelem"><a class="el" href="dir_c82e3d11dd171600f4a6e0cab1ec1e0d.html">viennacl</a></li><li class="navelem"><a class="el" href="dir_63cde087767c4ed65c7901ffc6e293fe.html">linalg</a></li><li class="navelem"><a class="el" href="lu_8hpp.html">lu.hpp</a></li>
<li class="footer">Generated on Wed Jan 20 2016 22:32:42 for ViennaCL - The Vienna Computing Library by
<a href="http://www.doxygen.org/index.html">
<img class="footer" src="doxygen.png" alt="doxygen"/></a> 1.8.6 </li>
</ul>
</div>
</body>
</html>
|
