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<?xml version="1.0" encoding="UTF-8"?>
<!--
* Scilab ( http://www.scilab.org/ ) - This file is part of Scilab
* Copyright (C) 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="rank">
<info>
<pubdate>$LastChangedDate$</pubdate>
</info>
<refnamediv>
<refname>rank</refname>
<refpurpose> rang </refpurpose>
</refnamediv>
<refsynopsisdiv>
<title>Séquence d'appel</title>
<synopsis>[i]=rank(X)
[i]=rank(X,tol)</synopsis>
</refsynopsisdiv>
<refsection>
<title>Paramètres</title>
<variablelist>
<varlistentry>
<term>X </term>
<listitem>
<para>matrice réelle ou complexe
</para>
</listitem>
</varlistentry>
<varlistentry>
<term>tol </term>
<listitem>
<para>nombre réel positif
</para>
</listitem>
</varlistentry>
</variablelist>
</refsection>
<refsection>
<title>Description</title>
<para><literal> rank(X)</literal> calcule le rang "numérique" de
<literal>X</literal> c'est à dire le nombre de ses valeurs
singulières supérieures à <literal>norm(size(X),'inf') *
norm(X) * %eps</literal>.
</para>
<para><literal>rank(X,tol)</literal> est le nombre de valeurs singulières de
<literal>X</literal> supérieures à <literal>tol</literal>.
</para>
<para>
Notez que la valeur par défaut de <literal>tol</literal> est
proportionnelle à <literal>norm(X)</literal>. Par exemple
</para>
<para><literal>rank([1.d-80,0;0,1.d-80])</literal> vaut 2 !.
</para>
</refsection>
<refsection>
<title>Exemples</title>
<programlisting role="example"><![CDATA[
rank([1.d-80,0;0,1.d-80])
rank([1,0;0,1.d-80])
]]></programlisting>
</refsection>
<refsection>
<title>Voir Aussi</title>
<simplelist type="inline">
<member>
<link linkend="svd">svd</link>
</member>
<member>
<link linkend="qr">qr</link>
</member>
<member>
<link linkend="rowcomp">rowcomp</link>
</member>
<member>
<link linkend="colcomp">colcomp</link>
</member>
<member>
<link linkend="lu">lu</link>
</member>
</simplelist>
</refsection>
</refentry>
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