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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="rref">

    <refnamediv>

        <refname>rref</refname>

        <refpurpose>LU分解により行エシュロン形式の行列を計算</refpurpose>

    </refnamediv>

    <refsynopsisdiv>

        <title>呼び出し手順</title>

        <synopsis>R=rref(A)</synopsis>

    </refsynopsisdiv>

    <refsection>

        <title>引数</title>

        <variablelist>

            <varlistentry>

                <term>A</term>

                <listitem>

                    <para>スカラーのエントリを有するm x n 行列</para>

                </listitem>

            </varlistentry>

            <varlistentry>

                <term>R</term>

                <listitem>

                    <para> Aの行エシュロン形式のm x n行列</para>

                </listitem>

            </varlistentry>

        </variablelist>

    </refsection>

    <refsection>

        <title>説明</title>

        <para>

            <literal>rref</literal> は,左LU分解により指定した行列

            の行エシュロン形式を計算します.

            <literal>X=rref([A,eye(m,m)])</literal>をコールする際に使用した

            変換だけが必要な場合,行エシュロン形式<literal>R</literal>は

            <literal>X(:,1:n)</literal>となります.

            左変換<literal>L</literal>は,<literal>L*A=R</literal>となるような

            <literal>X(:,n+1:n+m)</literal> により得ることができます.

        </para>

    </refsection>

    <refsection>

        <title>例</title>

        <programlisting role="example"><![CDATA[
A=[1 2;3 4;5 6];
X=rref([A,eye(3,3)]);
R=X(:,1:2)
L=X(:,3:5);L*A
 ]]></programlisting>

    </refsection>

    <refsection role="see also">

        <title>参照</title>

        <simplelist type="inline">

            <member>

                <link linkend="lu">lu</link>

            </member>

            <member>

                <link linkend="qr">qr</link>

            </member>

        </simplelist>

    </refsection>

</refentry>

