<?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="ja" xml:id="zeropen">
    <refnamediv>
        <refname>zeropen</refname>
        <refpurpose>ゼロペンシル</refpurpose>
    </refnamediv>
    <refsynopsisdiv>
        <title>呼出し手順</title>
        <synopsis>[Z,U]=zeropen(Sl)</synopsis>
    </refsynopsisdiv>
    <refsection>
        <title>パラメータ</title>
        <variablelist>
            <varlistentry>
                <term>Sl</term>
                <listitem>
                    <para>
                        線形システム (状態空間形式<literal>[A,B,C,D]</literal>の<literal>syslin</literal>リスト)
                    </para>
                </listitem>
            </varlistentry>
            <varlistentry>
                <term>Z</term>
                <listitem>
                    <para>
                        行列ペンシル <literal>Z=s*E-A</literal>
                    </para>
                </listitem>
            </varlistentry>
            <varlistentry>
                <term>U</term>
                <listitem>
                    <para>正方直交行列</para>
                </listitem>
            </varlistentry>
        </variablelist>
    </refsection>
    <refsection>
        <title>説明</title>
        <para>
            <literal>Z= sE - F</literal>  は,行列
            <literal>[A,B,C,D]</literal>からなる
            線形システム <literal>Sl</literal> のゼロペンシルです.
            ユーティリティ関数.
        </para>
        <para>
            <literal>U</literal>により,
            <literal>[B;D]</literal>の行圧縮,すなわち,
            <literal>U*[B;D]=[0;*]</literal>; が得られます:
        </para>
        <programlisting role=""><![CDATA[
U*[-sI+A |B;   [ Z |0;
      C  |D] = [ * |*]
 ]]></programlisting>
        <para>
            <literal>Z</literal> のゼロは <literal>Sl</literal>のゼロです.
        </para>
    </refsection>
    <refsection role="see also">
        <title>参照</title>
        <simplelist type="inline">
            <member>
                <link linkend="systmat">systmat</link>
            </member>
            <member>
                <link linkend="kroneck">kroneck</link>
            </member>
        </simplelist>
    </refsection>
</refentry>
