<?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="sylv">

    <refnamediv>

        <refname>sylv</refname>

        <refpurpose>シルベスタ方程式.  </refpurpose>

    </refnamediv>

    <refsynopsisdiv>

        <title>呼び出し手順</title>

        <synopsis>sylv(A, B, C, flag)</synopsis>

    </refsynopsisdiv>

    <refsection>

        <title>引数</title>

        <variablelist>

            <varlistentry>

                <term>A,B,C</term>

                <listitem>

                    <para>適当な次元の実数行列.</para>

                </listitem>

            </varlistentry>

            <varlistentry>

                <term>flag</term>

                <listitem>

                    <para>

                        文字列 (<literal>'c'</literal> または <literal>'d'</literal>)

                    </para>

                </listitem>

            </varlistentry>

        </variablelist>

    </refsection>

    <refsection>

        <title>説明</title>

        <para>

            <literal>X= sylv(A,B,C,'c')</literal> は以下の

            "連続時間" シルベスタ方程式の解<literal>X</literal>を計算します,

        </para>

        <programlisting role=""><![CDATA[
A*X+X*B=C
 ]]></programlisting>

        <para>

            <literal>X=sylv(A,B,C,'d')</literal> は以下の

            "離散時間" シルベスタ方程式の解<literal>X</literal>を計算します,

        </para>

        <programlisting role=""><![CDATA[
A*X*B-X=C
 ]]></programlisting>

    </refsection>

    <refsection>

        <title>例</title>

        <programlisting role="example"><![CDATA[
A = rand(4, 4); C = rand(4, 3); B = rand(3, 3);
X = sylv(A, B, C, 'c');
norm(A*X+X*B-C)
X = sylv(A, B, C, 'd');
norm(A*X*B-X-C)
 ]]></programlisting>

    </refsection>

    <refsection>

        <title>参考</title>

        <simplelist type="inline">

            <member>

                <link linkend="lyap">lyap</link>

            </member>

        </simplelist>

    </refsection>

</refentry>

