<?xml version="1.0" encoding="UTF-8"?>
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 * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab
 * Copyright (C) 2008 - INRIA
 *
 * Copyright (C) 2012 - 2016 - Scilab Enterprises
 *
 * This file is hereby licensed under the terms of the GNU GPL v2.0,
 * pursuant to article 5.3.4 of the CeCILL v.2.1.
 * This file was originally licensed under the terms of the CeCILL v2.1,
 * and continues to be available under such terms.
 * For more information, see the COPYING file which you should have received
 * along with this program.
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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" xmlns:scilab="http://www.scilab.org" xml:lang="fr" xml:id="expm">
    <refnamediv>
        <refname>expm</refname>
        <refpurpose>exponentielle de matrice  </refpurpose>
    </refnamediv>
    <refsynopsisdiv>
        <title>Séquence d'appel</title>
        <synopsis>expm(X)</synopsis>
    </refsynopsisdiv>
    <refsection>
        <title>Paramètres</title>
        <variablelist>
            <varlistentry>
                <term>X  </term>
                <listitem>
                    <para>matrice carrée réelle ou complexe
                    </para>
                </listitem>
            </varlistentry>
        </variablelist>
    </refsection>
    <refsection>
        <title>Description</title>
        <para>
        </para>
        <para>
            Pour <literal>X</literal> une matrice carrée <literal>expm(X)</literal> est la matrice
        </para>
        <para>
            expm(X) = I + X + X^2 /2 + ...
        </para>
        <para>
            Le calcul fait appel à une
            bloc-diagonalisation préliminaire de <literal>X</literal> suivie d'une approximation
            de Padé sur chaque bloc.
        </para>
    </refsection>
    <refsection>
        <title>Exemples</title>
        <programlisting role="example"><![CDATA[
X=[1 2;3 4]
expm(X)
logm(expm(X))
 ]]></programlisting>
    </refsection>
    <refsection role="see also">
        <title>Voir aussi</title>
        <simplelist type="inline">
            <member>
                <link linkend="logm">logm</link>
            </member>
            <member>
                <link linkend="bdiag">bdiag</link>
            </member>
            <member>
                <link linkend="coff">coff</link>
            </member>
            <member>
                <link linkend="log">log</link>
            </member>
            <member>
                <link linkend="exp">exp</link>
            </member>
        </simplelist>
    </refsection>
</refentry>
