<?xml version="1.0" encoding="UTF-8"?>
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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="en" xml:id="colinout">
    <refnamediv>
        <refname>colinout</refname>
        <refpurpose>inner-outer factorization</refpurpose>
    </refnamediv>
    <refsynopsisdiv>
        <title>Syntax</title>
        <synopsis>[Inn, X, Gbar] = colinout(G)</synopsis>
    </refsynopsisdiv>
    <refsection>
        <title>Arguments</title>
        <variablelist>
            <varlistentry>
                <term>G</term>
                <listitem>
                    <para>
                        linear system (<literal>syslin</literal> list) <literal>[A,B,C,D]</literal>
                    </para>
                </listitem>
            </varlistentry>
            <varlistentry>
                <term>Inn</term>
                <listitem>
                    <para>
                        inner factor (<literal>syslin</literal> list)
                    </para>
                </listitem>
            </varlistentry>
            <varlistentry>
                <term>Gbar</term>
                <listitem>
                    <para>
                        outer factor (<literal>syslin</literal> list)
                    </para>
                </listitem>
            </varlistentry>
            <varlistentry>
                <term>X</term>
                <listitem>
                    <para>
                        row-compressor of <literal>G</literal> (<literal>syslin</literal> list)
                    </para>
                </listitem>
            </varlistentry>
        </variablelist>
    </refsection>
    <refsection>
        <title>Description</title>
        <para>
            Inner-outer factorization (and column compression) of (lxp) <literal>G =[A,B,C,D]</literal> with l&lt;=p.
        </para>
        <para>
            <literal>G</literal> is assumed to be fat (<literal>l&lt;=p</literal>) without zero on the imaginary axis
            and with a <literal>D</literal> matrix which is full row rank.
        </para>
        <para>
            <literal>G</literal> must also be stable for having <literal>Gbar</literal> stable.
        </para>
        <para>
            Dual of <literal>rowinout</literal>.
        </para>
    </refsection>
    <refsection role="see also">
        <title>See also</title>
        <simplelist type="inline">
            <member>
                <link linkend="syslin">syslin</link>
            </member>
            <member>
                <link linkend="rowinout">rowinout</link>
            </member>
        </simplelist>
    </refsection>
</refentry>
