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<?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="fr" xml:id="lusolve">
<info>
<pubdate>$LastChangedDate$</pubdate>
</info>
<refnamediv>
<refname>lusolve</refname>
<refpurpose> solveur de système linéaire creux </refpurpose>
</refnamediv>
<refsynopsisdiv>
<title>Séquence d'appel</title>
<synopsis>lusolve(hand,b)
lusolve(A,b)</synopsis>
</refsynopsisdiv>
<refsection>
<title>Paramètres</title>
<variablelist>
<varlistentry>
<term>b </term>
<listitem>
<para>matrice réelle pleine
</para>
</listitem>
</varlistentry>
<varlistentry>
<term>A </term>
<listitem>
<para>matrice réelle carrée creuse inversible
</para>
</listitem>
</varlistentry>
<varlistentry>
<term>hand </term>
<listitem>
<para>pointeur vers des facteurs L,U creux déjà calculés (sortie de lufact)
</para>
</listitem>
</varlistentry>
</variablelist>
</refsection>
<refsection>
<title>Description</title>
<para><literal>x=lusolve(hand,b)</literal> résout le système linéaire
<literal>A*x = b</literal>, où <literal>hand</literal> est obtenu par un appel
préliminaire à <literal>lufact</literal> :<literal>[hand,rk]=lufact(A)</literal>.
</para>
<para><literal>x=lusolve(A,b)</literal> résout le système linéaire creux
<literal>A*x = b</literal>
</para>
</refsection>
<refsection>
<title>Exemples</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>Voir Aussi</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>
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