<?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="hankelsv">
    <refnamediv>
        <refname>hankelsv</refname>
        <refpurpose>ハンケル特異値</refpurpose>
    </refnamediv>
    <refsynopsisdiv>
        <title>呼び出し手順</title>
        <synopsis>[nk2,W]=hankelsv(sl [,tol])
            [nk2]=hankelsv(sl [,tol])
        </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)を表す
                        <literal>syslin</literal> リスト.
                    </para>
                </listitem>
            </varlistentry>
            <varlistentry>
                <term>tol</term>
                <listitem>
                    <para>
                        虚軸モードを検出するための許容誤差パラメータ
                        (デフォルト値: <literal>1000*%eps</literal>).
                    </para>
                </listitem>
            </varlistentry>
        </variablelist>
    </refsection>
    <refsection>
        <title>説明</title>
        <para>
            <literal>sl</literal>の
            ハンケル特異値の二乗  <literal>nk2</literal>と,
            <literal>W = P*Q</literal> = 可制御性グラミアンと
            可観測性グラミアンの積を返します.
        </para>
        <para>
            <literal>nk2</literal> は<literal>W</literal>の
            固有値のベクトルです.
        </para>
    </refsection>
    <refsection>
        <title>例</title>
        <programlisting role="example"><![CDATA[
A=diag([-1,-2,-3]);
sl=syslin('c',A,rand(3,2),rand(2,3));[nk2,W]=hankelsv(sl)
[Q,M]=pbig(W,nk2(2)-%eps,'c');
slr=projsl(sl,Q,M);hankelsv(slr)
 ]]></programlisting>
    </refsection>
    <refsection role="see also">
        <title>参照</title>
        <simplelist type="inline">
            <member>
                <link linkend="balreal">balreal</link>
            </member>
            <member>
                <link linkend="equil">equil</link>
            </member>
            <member>
                <link linkend="equil1">equil1</link>
            </member>
        </simplelist>
    </refsection>
</refentry>
