<?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="nlev">

    <refnamediv>

        <refname>nlev</refname>

        <refpurpose>Leverrierのアルゴリズム</refpurpose>

    </refnamediv>

    <refsynopsisdiv>

        <title>呼び出し手順</title>

        <synopsis>[num,den]=nlev(A,z [,rmax])</synopsis>

    </refsynopsisdiv>

    <refsection>

        <title>引数</title>

        <variablelist>

            <varlistentry>

                <term>A</term>

                <listitem>

                    <para>実数正方行列</para>

                </listitem>

            </varlistentry>

            <varlistentry>

                <term>z</term>

                <listitem>

                    <para>文字列</para>

                </listitem>

            </varlistentry>

            <varlistentry>

                <term>rmax</term>

                <listitem>

                    <para>

                        オプションのパラメータ (<literal>bdiag</literal>参照)

                    </para>

                </listitem>

            </varlistentry>

        </variablelist>

    </refsection>

    <refsection>

        <title>説明</title>

        <para>

            <literal>[num,den]=nlev(A,z [,rmax])</literal> は,

            <literal>(z*eye()-A)^(-1)</literal>を計算します.

        </para>

        <para>

            計算の際には,Aのブロック対角化の後に

            Leverrierアルゴリズムを各ブロックに適用します.

        </para>

        <para>

            このアルゴリズムは通常の Leverrierアルゴリズム

            より優れていますが,まだ完全ではありません!

        </para>

    </refsection>

    <refsection>

        <title>例</title>

        <programlisting role="example"><![CDATA[
A=rand(3,3);x=poly(0,'x');
[NUM,den]=nlev(A,'x')
clean(den-poly(A,'x'))
clean(NUM/den-inv(x*eye()-A))
 ]]></programlisting>

    </refsection>

    <refsection role="see also">

        <title>参照</title>

        <simplelist type="inline">

            <member>

                <link linkend="coff">coff</link>

            </member>

            <member>

                <link linkend="coffg">coffg</link>

            </member>

            <member>

                <link linkend="glever">glever</link>

            </member>

            <member>

                <link linkend="ss2tf">ss2tf</link>

            </member>

        </simplelist>

    </refsection>

</refentry>

