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

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 * Copyright (C) 2008 - INRIA
 *
 * Copyright (C) 2012 - 2016 - Scilab Enterprises
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 * 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,
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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="proj">

    <refnamediv>

        <refname>proj</refname>

        <refpurpose>投影</refpurpose>

    </refnamediv>

    <refsynopsisdiv>

        <title>呼び出し手順</title>

        <synopsis>P = proj(X1,X2)</synopsis>

    </refsynopsisdiv>

    <refsection>

        <title>引数</title>

        <variablelist>

            <varlistentry>

                <term>X1,X2</term>

                <listitem>

                    <para>同じ列の数を有する実数の行列</para>

                </listitem>

            </varlistentry>

            <varlistentry>

                <term>P</term>

                <listitem>

                    <para>

                        実数の投影行列 (<literal>P^2=P</literal>)

                    </para>

                </listitem>

            </varlistentry>

        </variablelist>

    </refsection>

    <refsection>

        <title>説明</title>

        <para>

            <literal>P</literal> は<literal>X1</literal>に平行な

            <literal>X2</literal>への投影です.

        </para>

    </refsection>

    <refsection>

        <title>例</title>

        <programlisting role="example"><![CDATA[
X1=rand(5,2);X2=rand(5,3);
P=proj(X1,X2);
norm(P^2-P,1)
trace(P)    // This is dim(X2)
[Q,M]=fullrf(P);
svd([Q,X2])   // span(Q) = span(X2)
 ]]></programlisting>

    </refsection>

    <refsection role="see also">

        <title>参照</title>

        <simplelist type="inline">

            <member>

                <link linkend="projspec">projspec</link>

            </member>

            <member>

                <link linkend="orth">orth</link>

            </member>
            <member>
                <link linkend="orthProj">orthProj</link>
            </member>

            <member>

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

            </member>

        </simplelist>

    </refsection>

</refentry>

