<?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="chfact">

    <refnamediv>

        <refname>chfact</refname>

        <refpurpose>疎行列のコレスキー分解</refpurpose>

    </refnamediv>

    <refsynopsisdiv>

        <title>呼び出し手順</title>

        <synopsis>spcho=chfact(A)</synopsis>

    </refsynopsisdiv>

    <refsection>

        <title>引数</title>

        <variablelist>

            <varlistentry>

                <term>A</term>

                <listitem>

                    <para>正方正定対称疎行列</para>

                </listitem>

            </varlistentry>

            <varlistentry>

                <term>spcho</term>

                <listitem>

                    <para>コード形式のコレスキー分解を含むリスト</para>

                </listitem>

            </varlistentry>

        </variablelist>

    </refsection>

    <refsection>

        <title>説明</title>

        <para>

            <literal>spcho=chfact(A)</literal> は,

            正定対称行列と仮定して疎行列<literal>A</literal>の

            コレスキー分解を計算します.

            この関数は,Ng-Peyton プログラム (ORNL)に基づいています.

            <literal>spcho</literal>の変数の詳細な説明については,

            Fortran プログラムを参照ください.

            この関数は <literal>chsolve</literal>と共に使用されます.

        </para>

    </refsection>

    <refsection>

        <title>例</title>

        <programlisting role="example"><![CDATA[
A=sprand(20,20,0.1);
A=A*A'+eye();
chfact(A)

sol=(1:20)';
rhs=A*sol;
chfact(A)
 ]]></programlisting>

    </refsection>

    <refsection role="see also">

        <title>参照</title>

        <simplelist type="inline">

            <member>

                <link linkend="chsolve">chsolve</link>

            </member>

            <member>

                <link linkend="sparse">sparse</link>

            </member>

            <member>

                <link linkend="lufact">lufact</link>

            </member>

            <member>

                <link linkend="luget">luget</link>

            </member>

            <member>

                <link linkend="spchol">spchol</link>

            </member>

        </simplelist>

    </refsection>

</refentry>

