<?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="colcomp">

    <refnamediv>

        <refname>colcomp</refname>

        <refpurpose>列圧縮,カーネル,ヌル空間</refpurpose>

    </refnamediv>

    <refsynopsisdiv>

        <title>呼び出し手順</title>

        <synopsis>[W,rk]=colcomp(A [,flag] [,tol])</synopsis>

    </refsynopsisdiv>

    <refsection>

        <title>引数</title>

        <variablelist>

            <varlistentry>

                <term>A</term>

                <listitem>

                    <para>実数または複素数の行列</para>

                </listitem>

            </varlistentry>

            <varlistentry>

                <term>flag</term>

                <listitem>

                    <para>文字列</para>

                </listitem>

            </varlistentry>

            <varlistentry>

                <term>tol</term>

                <listitem>

                    <para>実数</para>

                </listitem>

            </varlistentry>

            <varlistentry>

                <term>W</term>

                <listitem>

                    <para>正方正則行列 (基底変換)</para>

                </listitem>

            </varlistentry>

            <varlistentry>

                <term>rk</term>

                <listitem>

                    <para>

                        整数 (<literal>A</literal>のランク)

                    </para>

                </listitem>

            </varlistentry>

        </variablelist>

    </refsection>

    <refsection>

        <title>説明</title>

        <para>

            <literal>A</literal>の列圧縮: <literal>Ac = A*W</literal> は

            列圧縮,すなわち <literal>Ac=[0,Af]</literal> となります.

        </para>

        <para>

            ただし, <literal>Af</literal> はフル列ランクを有します:

            rank(<literal>Af</literal>) = rank(<literal>A</literal>) = <literal>rk</literal>.

        </para>

        <para>

            <literal>flag</literal> および <literal>tol</literal> は

            オプションのパラメータ: <literal>flag = 'qr'</literal>

            または <literal>'svd'</literal> (デフォルトは

            <literal>'svd'</literal>)です.

        </para>

        <para>

            <literal>tol</literal> = 許容誤差パラメータ (デフォルト値は

            <literal>%eps</literal>のオーダー).

        </para>

        <para>

            <literal>W</literal>の最初の<literal>ma-rk</literal>列は,

            <literal>size(A)=(na,ma)</literal>とするとき,

            <literal>A</literal>のカーネルに広がります.

        </para>

    </refsection>

    <refsection>

        <title>例</title>

        <programlisting role="example"><![CDATA[
A=rand(5,2)*rand(2,5);
[X,r]=colcomp(A);
norm(A*X(:,1:$-r),1)
 ]]></programlisting>

    </refsection>

    <refsection role="see also">

        <title>参照</title>

        <simplelist type="inline">

            <member>

                <link linkend="rowcomp">rowcomp</link>

            </member>

            <member>

                <link linkend="fullrf">fullrf</link>

            </member>

            <member>

                <link linkend="fullrfk">fullrfk</link>

            </member>

            <member>

                <link linkend="kernel">kernel</link>

            </member>

        </simplelist>

    </refsection>

</refentry>

