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
|
<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
<html><head><meta http-equiv="Content-Type" content="text/html;charset=UTF-8">
<title>SuperLU: SRC/dgstrs.c File Reference</title>
<link href="doxygen.css" rel="stylesheet" type="text/css">
<link href="tabs.css" rel="stylesheet" type="text/css">
</head><body>
<!-- Generated by Doxygen 1.5.5 -->
<div class="navigation" id="top">
<div class="tabs">
<ul>
<li><a href="index.html"><span>Main Page</span></a></li>
<li><a href="annotated.html"><span>Data Structures</span></a></li>
<li class="current"><a href="files.html"><span>Files</span></a></li>
</ul>
</div>
</div>
<div class="contents">
<h1>SRC/dgstrs.c File Reference</h1>Solves a system using LU factorization. <a href="#_details">More...</a>
<p>
<code>#include "<a class="el" href="slu__ddefs_8h-source.html">slu_ddefs.h</a>"</code><br>
<table border="0" cellpadding="0" cellspacing="0">
<tr><td></td></tr>
<tr><td colspan="2"><br><h2>Functions</h2></td></tr>
<tr><td class="memItemLeft" nowrap align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="dgstrs_8c.html#ca18e78d81448d99eec840b19de76efd">dusolve</a> (int, int, double *, double *)</td></tr>
<tr><td class="mdescLeft"> </td><td class="mdescRight">Solves a dense upper triangular system. <a href="#ca18e78d81448d99eec840b19de76efd"></a><br></td></tr>
<tr><td class="memItemLeft" nowrap align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="dgstrs_8c.html#56d27043eac0282b0d0e4106acedb083">dlsolve</a> (int, int, double *, double *)</td></tr>
<tr><td class="mdescLeft"> </td><td class="mdescRight">Solves a dense UNIT lower triangular system. <a href="#56d27043eac0282b0d0e4106acedb083"></a><br></td></tr>
<tr><td class="memItemLeft" nowrap align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="dgstrs_8c.html#65523602382b3d96c9852545ae24815d">dmatvec</a> (int, int, int, double *, double *, double *)</td></tr>
<tr><td class="mdescLeft"> </td><td class="mdescRight">Performs a dense matrix-vector multiply: Mxvec = Mxvec + M * vec. <a href="#65523602382b3d96c9852545ae24815d"></a><br></td></tr>
<tr><td class="memItemLeft" nowrap align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="dgstrs_8c.html#6e3eace519372b7dfcd053e0d3614fc1">dgstrs</a> (<a class="el" href="superlu__enum__consts_8h.html#0c4e17b2d5cea33f9991ccc6a6678d62">trans_t</a> trans, <a class="el" href="structSuperMatrix.html">SuperMatrix</a> *L, <a class="el" href="structSuperMatrix.html">SuperMatrix</a> *U, int *perm_c, int *perm_r, <a class="el" href="structSuperMatrix.html">SuperMatrix</a> *B, <a class="el" href="structSuperLUStat__t.html">SuperLUStat_t</a> *stat, int *info)</td></tr>
<tr><td class="memItemLeft" nowrap align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="dgstrs_8c.html#1532445fd4c7e1e91d5bd11dbf78364f">dprint_soln</a> (int n, int nrhs, double *soln)</td></tr>
</table>
<hr><a name="_details"></a><h2>Detailed Description</h2>
<pre>
-- SuperLU routine (version 3.0) --
Univ. of California Berkeley, Xerox Palo Alto Research Center,
and Lawrence Berkeley National Lab.
October 15, 2003</pre><p>
<pre> Copyright (c) 1994 by Xerox Corporation. All rights reserved.</pre><p>
<pre> THIS MATERIAL IS PROVIDED AS IS, WITH ABSOLUTELY NO WARRANTY
EXPRESSED OR IMPLIED. ANY USE IS AT YOUR OWN RISK.</pre><p>
<pre> Permission is hereby granted to use or copy this program for any
purpose, provided the above notices are retained on all copies.
Permission to modify the code and to distribute modified code is
granted, provided the above notices are retained, and a notice that
the code was modified is included with the above copyright notice.
</pre> <hr><h2>Function Documentation</h2>
<a class="anchor" name="6e3eace519372b7dfcd053e0d3614fc1"></a><!-- doxytag: member="dgstrs.c::dgstrs" ref="6e3eace519372b7dfcd053e0d3614fc1" args="(trans_t trans, SuperMatrix *L, SuperMatrix *U, int *perm_c, int *perm_r, SuperMatrix *B, SuperLUStat_t *stat, int *info)" -->
<div class="memitem">
<div class="memproto">
<table class="memname">
<tr>
<td class="memname">void dgstrs </td>
<td>(</td>
<td class="paramtype"><a class="el" href="superlu__enum__consts_8h.html#0c4e17b2d5cea33f9991ccc6a6678d62">trans_t</a> </td>
<td class="paramname"> <em>trans</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="structSuperMatrix.html">SuperMatrix</a> * </td>
<td class="paramname"> <em>L</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="structSuperMatrix.html">SuperMatrix</a> * </td>
<td class="paramname"> <em>U</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">int * </td>
<td class="paramname"> <em>perm_c</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">int * </td>
<td class="paramname"> <em>perm_r</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="structSuperMatrix.html">SuperMatrix</a> * </td>
<td class="paramname"> <em>B</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="structSuperLUStat__t.html">SuperLUStat_t</a> * </td>
<td class="paramname"> <em>stat</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">int * </td>
<td class="paramname"> <em>info</em></td><td> </td>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><td></td><td width="100%"></td>
</tr>
</table>
</div>
<div class="memdoc">
<p>
<pre>
Purpose
=======</pre><p>
<pre> DGSTRS solves a system of linear equations A*X=B or A'*X=B
with A sparse and B dense, using the LU factorization computed by
DGSTRF.</pre><p>
<pre> See <a class="el" href="supermatrix_8h.html" title="Defines matrix types.">supermatrix.h</a> for the definition of 'SuperMatrix' structure.</pre><p>
<pre> Arguments
=========</pre><p>
<pre> trans (input) trans_t
Specifies the form of the system of equations:
= NOTRANS: A * X = B (No transpose)
= TRANS: A'* X = B (Transpose)
= CONJ: A**H * X = B (Conjugate transpose)</pre><p>
<pre> L (input) SuperMatrix*
The factor L from the factorization Pr*A*Pc=L*U as computed by
<a class="el" href="dgstrf_8c.html#65a25ed27f2524e9cbc8f6ce8cd22c38">dgstrf()</a>. Use compressed row subscripts storage for supernodes,
i.e., L has types: Stype = SLU_SC, Dtype = SLU_D, Mtype = SLU_TRLU.</pre><p>
<pre> U (input) SuperMatrix*
The factor U from the factorization Pr*A*Pc=L*U as computed by
<a class="el" href="dgstrf_8c.html#65a25ed27f2524e9cbc8f6ce8cd22c38">dgstrf()</a>. Use column-wise storage scheme, i.e., U has types:
Stype = SLU_NC, Dtype = SLU_D, Mtype = SLU_TRU.</pre><p>
<pre> perm_c (input) int*, dimension (L->ncol)
Column permutation vector, which defines the
permutation matrix Pc; perm_c[i] = j means column i of A is
in position j in A*Pc.</pre><p>
<pre> perm_r (input) int*, dimension (L->nrow)
Row permutation vector, which defines the permutation matrix Pr;
perm_r[i] = j means row i of A is in position j in Pr*A.</pre><p>
<pre> B (input/output) SuperMatrix*
B has types: Stype = SLU_DN, Dtype = SLU_D, Mtype = SLU_GE.
On entry, the right hand side matrix.
On exit, the solution matrix if info = 0;</pre><p>
<pre> stat (output) SuperLUStat_t*
Record the statistics on runtime and floating-point operation count.
See util.h for the definition of 'SuperLUStat_t'.</pre><p>
<pre> info (output) int*
= 0: successful exit
< 0: if info = -i, the i-th argument had an illegal value
</pre>
</div>
</div><p>
<a class="anchor" name="56d27043eac0282b0d0e4106acedb083"></a><!-- doxytag: member="dgstrs.c::dlsolve" ref="56d27043eac0282b0d0e4106acedb083" args="(int, int, double *, double *)" -->
<div class="memitem">
<div class="memproto">
<table class="memname">
<tr>
<td class="memname">void dlsolve </td>
<td>(</td>
<td class="paramtype">int </td>
<td class="paramname"> <em>ldm</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">int </td>
<td class="paramname"> <em>ncol</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">double * </td>
<td class="paramname"> <em>M</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">double * </td>
<td class="paramname"> <em>rhs</em></td><td> </td>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><td></td><td width="100%"></td>
</tr>
</table>
</div>
<div class="memdoc">
<p>
The unit lower triangular matrix is stored in a 2D array M(1:nrow,1:ncol). The solution will be returned in the rhs vector.
</div>
</div><p>
<a class="anchor" name="65523602382b3d96c9852545ae24815d"></a><!-- doxytag: member="dgstrs.c::dmatvec" ref="65523602382b3d96c9852545ae24815d" args="(int, int, int, double *, double *, double *)" -->
<div class="memitem">
<div class="memproto">
<table class="memname">
<tr>
<td class="memname">void dmatvec </td>
<td>(</td>
<td class="paramtype">int </td>
<td class="paramname"> <em>ldm</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">int </td>
<td class="paramname"> <em>nrow</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">int </td>
<td class="paramname"> <em>ncol</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">double * </td>
<td class="paramname"> <em>M</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">double * </td>
<td class="paramname"> <em>vec</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">double * </td>
<td class="paramname"> <em>Mxvec</em></td><td> </td>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><td></td><td width="100%"></td>
</tr>
</table>
</div>
<div class="memdoc">
<p>
The input matrix is M(1:nrow,1:ncol); The product is returned in Mxvec[].
</div>
</div><p>
<a class="anchor" name="1532445fd4c7e1e91d5bd11dbf78364f"></a><!-- doxytag: member="dgstrs.c::dprint_soln" ref="1532445fd4c7e1e91d5bd11dbf78364f" args="(int n, int nrhs, double *soln)" -->
<div class="memitem">
<div class="memproto">
<table class="memname">
<tr>
<td class="memname">void dprint_soln </td>
<td>(</td>
<td class="paramtype">int </td>
<td class="paramname"> <em>n</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">int </td>
<td class="paramname"> <em>nrhs</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">double * </td>
<td class="paramname"> <em>soln</em></td><td> </td>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><td></td><td width="100%"></td>
</tr>
</table>
</div>
<div class="memdoc">
<p>
</div>
</div><p>
<a class="anchor" name="ca18e78d81448d99eec840b19de76efd"></a><!-- doxytag: member="dgstrs.c::dusolve" ref="ca18e78d81448d99eec840b19de76efd" args="(int, int, double *, double *)" -->
<div class="memitem">
<div class="memproto">
<table class="memname">
<tr>
<td class="memname">void dusolve </td>
<td>(</td>
<td class="paramtype">int </td>
<td class="paramname"> <em>ldm</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">int </td>
<td class="paramname"> <em>ncol</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">double * </td>
<td class="paramname"> <em>M</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">double * </td>
<td class="paramname"> <em>rhs</em></td><td> </td>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><td></td><td width="100%"></td>
</tr>
</table>
</div>
<div class="memdoc">
<p>
The upper triangular matrix is stored in a 2-dim array M(1:ldm,1:ncol). The solution will be returned in the rhs vector.
</div>
</div><p>
</div>
<hr size="1"><address style="text-align: right;"><small>Generated on Thu Aug 25 13:43:49 2011 for SuperLU by
<a href="http://www.doxygen.org/index.html">
<img src="doxygen.png" alt="doxygen" align="middle" border="0"></a> 1.5.5 </small></address>
</body>
</html>
|
