<?xml version="1.0" encoding="UTF-8"?>

<!--
 * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab
 * Copyright (C) 2008 - INRIA
 *
 * Copyright (C) 2012 - 2016 - Scilab Enterprises
 *
 * This file is hereby licensed under the terms of the GNU GPL v2.0,
 * pursuant to article 5.3.4 of the CeCILL v.2.1.
 * This file was originally licensed under the terms of the CeCILL v2.1,
 * and continues to be available under such terms.
 * For more information, see the COPYING file which you should have received
 * along with this program.
 *
 -->

<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="kernel">

    <refnamediv>

        <refname>kernel</refname>

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

    </refnamediv>

    <refsynopsisdiv>

        <title>呼び出し手順</title>

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

    </refsynopsisdiv>

    <refsection>

        <title>引数</title>

        <variablelist>

            <varlistentry>

                <term>A</term>

                <listitem>

                    <para>実数または複素数のフル行列または実数疎行列</para>

                </listitem>

            </varlistentry>

            <varlistentry>

                <term>flag</term>

                <listitem>

                    <para>

                        文字列 <literal>'svd'</literal> (デフォルト) または <literal>'qr'</literal>

                    </para>

                </listitem>

            </varlistentry>

            <varlistentry>

                <term>tol</term>

                <listitem>

                    <para>実数</para>

                </listitem>

            </varlistentry>

            <varlistentry>

                <term>W</term>

                <listitem>

                    <para>列フルランク行列</para>

                </listitem>

            </varlistentry>

        </variablelist>

    </refsection>

    <refsection>

        <title>説明</title>

        <para>

            <literal>W=kernel(A)</literal> は<literal>A</literal>のカーネル (ヌル空間)を返します.

            A が列フルランクの場合, 空の行列 [] が返されます.

        </para>

        <para>

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

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

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

        </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).

        </para>

    </refsection>

    <refsection>

        <title>例</title>

        <programlisting role="example"><![CDATA[
A=rand(3,1)*rand(1,3);
A*kernel(A)
A=sparse(A);
clean(A*kernel(A))
 ]]></programlisting>

    </refsection>

    <refsection role="see also">

        <title>参照</title>

        <simplelist type="inline">

            <member>

                <link linkend="colcomp">colcomp</link>

            </member>

            <member>

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

            </member>

            <member>

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

            </member>

            <member>

                <link linkend="linsolve">linsolve</link>

            </member>

        </simplelist>

    </refsection>

</refentry>

