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<title>SuperLU: SRC/dgstrsU.c File Reference</title>
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<h1>SRC/dgstrsU.c File Reference</h1>Performs the U-solve using the LU factorization computed by DGSTRF. <a href="#_details">More...</a>
<p>
<code>#include "<a class="el" href="slu__ddefs_8h-source.html">slu_ddefs.h</a>"</code><br>
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<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="dgstrsU_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="dgstrsU_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="dgstrsU_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="dgstrsU_8c.html#9f80e097e5308f7a978de86f5c083db4">dgstrsU</a> (<a class="el" href="slu__util_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>
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<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="9f80e097e5308f7a978de86f5c083db4"></a><!-- doxytag: member="dgstrsU.c::dgstrsU" ref="9f80e097e5308f7a978de86f5c083db4" args="(trans_t trans, SuperMatrix *L, SuperMatrix *U, int *perm_c, int *perm_r, SuperMatrix *B, SuperLUStat_t *stat, int *info)" -->
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<td class="memname">void dgstrsU </td>
<td>(</td>
<td class="paramtype"><a class="el" href="slu__util_8h.html#0c4e17b2d5cea33f9991ccc6a6678d62">trans_t</a> </td>
<td class="paramname"> <em>trans</em>, </td>
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<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>
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<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>
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<td class="paramkey"></td>
<td></td>
<td class="paramtype">int * </td>
<td class="paramname"> <em>perm_c</em>, </td>
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<td class="paramkey"></td>
<td></td>
<td class="paramtype">int * </td>
<td class="paramname"> <em>perm_r</em>, </td>
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<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>
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<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>
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<td class="paramkey"></td>
<td></td>
<td class="paramtype">int * </td>
<td class="paramname"> <em>info</em></td><td> </td>
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<td>)</td>
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<p>
<pre>
Purpose
=======</pre><p>
<pre> dgstrsU only performs the U-solve 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>
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<a class="anchor" name="56d27043eac0282b0d0e4106acedb083"></a><!-- doxytag: member="dgstrsU.c::dlsolve" ref="56d27043eac0282b0d0e4106acedb083" args="(int, int, double *, double *)" -->
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<td class="memname">void dlsolve </td>
<td>(</td>
<td class="paramtype">int </td>
<td class="paramname"> <em>ldm</em>, </td>
</tr>
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<td class="paramkey"></td>
<td></td>
<td class="paramtype">int </td>
<td class="paramname"> <em>ncol</em>, </td>
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<td class="paramkey"></td>
<td></td>
<td class="paramtype">double * </td>
<td class="paramname"> <em>M</em>, </td>
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<td class="paramkey"></td>
<td></td>
<td class="paramtype">double * </td>
<td class="paramname"> <em>rhs</em></td><td> </td>
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<td>)</td>
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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.
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<a class="anchor" name="65523602382b3d96c9852545ae24815d"></a><!-- doxytag: member="dgstrsU.c::dmatvec" ref="65523602382b3d96c9852545ae24815d" args="(int, int, int, double *, double *, double *)" -->
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<td class="memname">void dmatvec </td>
<td>(</td>
<td class="paramtype">int </td>
<td class="paramname"> <em>ldm</em>, </td>
</tr>
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<td class="paramkey"></td>
<td></td>
<td class="paramtype">int </td>
<td class="paramname"> <em>nrow</em>, </td>
</tr>
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<td class="paramkey"></td>
<td></td>
<td class="paramtype">int </td>
<td class="paramname"> <em>ncol</em>, </td>
</tr>
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<td class="paramkey"></td>
<td></td>
<td class="paramtype">double * </td>
<td class="paramname"> <em>M</em>, </td>
</tr>
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<td class="paramkey"></td>
<td></td>
<td class="paramtype">double * </td>
<td class="paramname"> <em>vec</em>, </td>
</tr>
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<td class="paramkey"></td>
<td></td>
<td class="paramtype">double * </td>
<td class="paramname"> <em>Mxvec</em></td><td> </td>
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<td>)</td>
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The input matrix is M(1:nrow,1:ncol); The product is returned in Mxvec[].
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<a class="anchor" name="ca18e78d81448d99eec840b19de76efd"></a><!-- doxytag: member="dgstrsU.c::dusolve" ref="ca18e78d81448d99eec840b19de76efd" args="(int, int, double *, double *)" -->
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<td class="memname">void dusolve </td>
<td>(</td>
<td class="paramtype">int </td>
<td class="paramname"> <em>ldm</em>, </td>
</tr>
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<td class="paramkey"></td>
<td></td>
<td class="paramtype">int </td>
<td class="paramname"> <em>ncol</em>, </td>
</tr>
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<td class="paramkey"></td>
<td></td>
<td class="paramtype">double * </td>
<td class="paramname"> <em>M</em>, </td>
</tr>
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<td class="paramkey"></td>
<td></td>
<td class="paramtype">double * </td>
<td class="paramname"> <em>rhs</em></td><td> </td>
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<td>)</td>
<td></td><td></td><td width="100%"></td>
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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.
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