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
|
<?xml version="1.0" encoding="UTF-8"?>
<!--
* Scilab ( http://www.scilab.org/ ) - This file is part of Scilab
* Copyright (C) XXXX-2008 - INRIA
*
* This file must be used under the terms of the CeCILL.
* This source file is licensed as described in the file COPYING, which
* you should have received as part of this distribution. The terms
* are also available at
* http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt
*
-->
<refentry xmlns="http://docbook.org/ns/docbook" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:svg="http://www.w3.org/2000/svg" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:db="http://docbook.org/ns/docbook" version="5.0-subset Scilab" xml:lang="en" xml:id="lusolve">
<info>
<pubdate>$LastChangedDate$</pubdate>
</info>
<refnamediv>
<refname>lusolve</refname>
<refpurpose> sparse linear system solver</refpurpose>
</refnamediv>
<refsynopsisdiv>
<title>Calling Sequence</title>
<synopsis>lusolve(hand,b)
lusolve(A,b)</synopsis>
</refsynopsisdiv>
<refsection>
<title>Parameters</title>
<variablelist>
<varlistentry>
<term>b</term>
<listitem>
<para>full real matrix</para>
</listitem>
</varlistentry>
<varlistentry>
<term>A</term>
<listitem>
<para>real square sparse invertible matrix</para>
</listitem>
</varlistentry>
<varlistentry>
<term>hand</term>
<listitem>
<para>handle to a previously computed sparse lu factors (output of lufact)</para>
</listitem>
</varlistentry>
</variablelist>
</refsection>
<refsection>
<title>Description</title>
<para><literal>x=lusolve(hand,b)</literal> solves the sparse linear system
<literal>A*x = b</literal>.</para>
<para><literal>[hand,rk]=lufact(A)</literal> is the output of lufact.</para>
<para><literal>x=lusolve(A,b)</literal> solves the sparse linear system
<literal>A*x = b</literal></para>
</refsection>
<refsection>
<title>Examples</title>
<programlisting role="example"><![CDATA[
non_zeros=[1,2,3,4];rows_cols=[1,1;2,2;3,3;4,4];
sp=sparse(rows_cols,non_zeros);
[h,rk]=lufact(sp);x=lusolve(h,[1;1;1;1]);ludel(h)
rk,sp*x
non_zeros=[1,2,3,4];rows_cols=[1,1;2,2;3,3;4,4];
sp=sparse(rows_cols,non_zeros);
x=lusolve(sp,-ones(4,1));
sp*x
]]></programlisting>
</refsection>
<refsection>
<title>See Also</title>
<simplelist type="inline">
<member>
<link linkend="sparse">sparse</link>
</member>
<member>
<link linkend="lufact">lufact</link>
</member>
<member>
<link linkend="slash">slash</link>
</member>
<member>
<link linkend="backslash">backslash</link>
</member>
</simplelist>
</refsection>
</refentry>
|
