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<?xml version="1.0" encoding="UTF-8"?>
<!--
 * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab
 * Copyright (C) 2006-2008 - 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_V2.1-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" xmlns:scilab="http://www.scilab.org" xml:lang="en" xml:id="invr">
    <refnamediv>
        <refname>invr</refname>
        <refpurpose>inversion of (rational) matrix</refpurpose>
    </refnamediv>
    <refsynopsisdiv>
        <title>Calling Sequence</title>
        <synopsis>F = invr(H)</synopsis>
    </refsynopsisdiv>
    <refsection>
        <title>Arguments</title>
        <variablelist>
            <varlistentry>
                <term>H</term>
                <listitem>
                    <para>polynomial or rational matrix</para>
                </listitem>
            </varlistentry>
            <varlistentry>
                <term>F</term>
                <listitem>
                    <para>polynomial or rational matrix</para>
                </listitem>
            </varlistentry>
        </variablelist>
    </refsection>
    <refsection>
        <title>Description</title>
        <para>
            If <literal>H</literal> is a polynomial or rational function matrix, <literal>invr</literal>
            computes <literal>H^(-1)</literal> using Leverrier's algorithm (see function code)
        </para>
    </refsection>
    <refsection>
        <title>Examples</title>
        <programlisting role="example"><![CDATA[ 
s=poly(0,'s')
H=[s,s*s+2;1-s,1+s]; invr(H)
[Num,den]=coffg(H);Num/den
H=[1/s,(s+1);1/(s+2),(s+3)/s];invr(H)
 ]]></programlisting>
    </refsection>
    <refsection role="see also">
        <title>See Also</title>
        <simplelist type="inline">
            <member>
                <link linkend="glever">glever</link>
            </member>
            <member>
                <link linkend="coffg">coffg</link>
            </member>
            <member>
                <link linkend="inv">inv</link>
            </member>
        </simplelist>
    </refsection>
</refentry>