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<?xml version="1.0" encoding="UTF-8"?>
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* Scilab ( http://www.scilab.org/ ) - This file is part of Scilab
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* Copyright (C) 2008 - INRIA
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* This file must be used under the terms of the CeCILL.
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* This source file is licensed as described in the file COPYING, which
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* you should have received as part of this distribution. The terms
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* are also available at
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* http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt
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<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="fullrfk">
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<refname>fullrfk</refname>
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<refpurpose> factorisation de rang plein de A^k </refpurpose>
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<title>Séquence d'appel</title>
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<synopsis>[Q,M]=fullrfk(A,k)</synopsis>
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<title>Paramètres</title>
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<para>matrice réelle ou complexe
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<para>matrices réelles ou complexes
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<title>Description</title>
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Cette fonction calcule la factorisation de rang plein de <literal>A^k</literal> : <literal>fullrfk</literal> renvoie <literal>Q</literal> et <literal>M</literal> telles que <literal>A^k = Q*M</literal>
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avec Im(<literal>Q</literal>)=Im(<literal>A^k</literal>) et ker(<literal>M</literal>)=ker(<literal>A^k</literal>),
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<literal>Q</literal> de rang maximal, et les lignes de <literal>M</literal> sont linéairement indépendantes,
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Pour <literal>k=1</literal>, <literal>fullrfk</literal> est équivalent à <literal>fullrf</literal>.
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<title>Exemples</title>
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<programlisting role="example"><![CDATA[
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A=rand(5,2)*rand(2,5);[Bk,Ck]=fullrfk(A,3);
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<refsection role="see also">
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<title>Voir aussi</title>
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<simplelist type="inline">
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<link linkend="fullrf">fullrf</link>
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<link linkend="range">range</link>