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<h1>SRC/slaqgs.c File Reference</h1>Equlibrates a general sprase matrix. <a href="#_details">More...</a>
<p>
<code>#include <math.h></code><br>
<code>#include "<a class="el" href="slu__sdefs_8h-source.html">slu_sdefs.h</a>"</code><br>
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<tr><td colspan="2"><br><h2>Defines</h2></td></tr>
<tr><td class="memItemLeft" nowrap align="right" valign="top">#define </td><td class="memItemRight" valign="bottom"><a class="el" href="slaqgs_8c.html#0656018abfc9fa2821827415f5d5ea57">THRESH</a> (0.1)</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="slaqgs_8c.html#f44216962efdebc7e1117b273743e84f">slaqgs</a> (<a class="el" href="structSuperMatrix.html">SuperMatrix</a> *<a class="el" href="ilu__zdrop__row_8c.html#c900805a486cbb8489e3c176ed6e0d8e">A</a>, float *r, float *c, float rowcnd, float colcnd, float amax, char *equed)</td></tr>
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<hr><a name="_details"></a><h2>Detailed Description</h2>
<pre>
-- SuperLU routine (version 2.0) --
Univ. of California Berkeley, Xerox Palo Alto Research Center,
and Lawrence Berkeley National Lab.
November 15, 1997</pre><p>
<pre> Modified from LAPACK routine SLAQGE
</pre> <hr><h2>Define Documentation</h2>
<a class="anchor" name="0656018abfc9fa2821827415f5d5ea57"></a><!-- doxytag: member="slaqgs.c::THRESH" ref="0656018abfc9fa2821827415f5d5ea57" args="" -->
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<td class="memname">#define THRESH (0.1) </td>
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<hr><h2>Function Documentation</h2>
<a class="anchor" name="f44216962efdebc7e1117b273743e84f"></a><!-- doxytag: member="slaqgs.c::slaqgs" ref="f44216962efdebc7e1117b273743e84f" args="(SuperMatrix *A, float *r, float *c, float rowcnd, float colcnd, float amax, char *equed)" -->
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<td class="memname">void slaqgs </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structSuperMatrix.html">SuperMatrix</a> * </td>
<td class="paramname"> <em>A</em>, </td>
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<td class="paramkey"></td>
<td></td>
<td class="paramtype">float * </td>
<td class="paramname"> <em>r</em>, </td>
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<td class="paramkey"></td>
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<td class="paramtype">float * </td>
<td class="paramname"> <em>c</em>, </td>
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<td class="paramkey"></td>
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<td class="paramtype">float </td>
<td class="paramname"> <em>rowcnd</em>, </td>
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<td class="paramkey"></td>
<td></td>
<td class="paramtype">float </td>
<td class="paramname"> <em>colcnd</em>, </td>
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<td class="paramkey"></td>
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<td class="paramtype">float </td>
<td class="paramname"> <em>amax</em>, </td>
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<td class="paramtype">char * </td>
<td class="paramname"> <em>equed</em></td><td> </td>
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<td>)</td>
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<pre>
Purpose
=======</pre><p>
<pre> SLAQGS equilibrates a general sparse M by N matrix A using the row and
scaling factors in the vectors R and C.</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> A (input/output) SuperMatrix*
On exit, the equilibrated matrix. See EQUED for the form of
the equilibrated matrix. The type of A can be:
Stype = NC; Dtype = SLU_S; Mtype = GE.</pre><p>
<pre> R (input) float*, dimension (A->nrow)
The row scale factors for A.</pre><p>
<pre> C (input) float*, dimension (A->ncol)
The column scale factors for A.</pre><p>
<pre> ROWCND (input) float
Ratio of the smallest R(i) to the largest R(i).</pre><p>
<pre> COLCND (input) float
Ratio of the smallest C(i) to the largest C(i).</pre><p>
<pre> AMAX (input) float
Absolute value of largest matrix entry.</pre><p>
<pre> EQUED (output) char*
Specifies the form of equilibration that was done.
= 'N': No equilibration
= 'R': Row equilibration, i.e., A has been premultiplied by
diag(R).
= 'C': Column equilibration, i.e., A has been postmultiplied
by diag(C).
= 'B': Both row and column equilibration, i.e., A has been
replaced by diag(R) * A * diag(C).</pre><p>
<pre> Internal Parameters
===================</pre><p>
<pre> THRESH is a threshold value used to decide if row or column scaling
should be done based on the ratio of the row or column scaling
factors. If ROWCND < THRESH, row scaling is done, and if
COLCND < THRESH, column scaling is done.</pre><p>
<pre> LARGE and SMALL are threshold values used to decide if row scaling
should be done based on the absolute size of the largest matrix
element. If AMAX > LARGE or AMAX < SMALL, row scaling is done.</pre><p>
<pre> =====================================================================
</pre>
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