91ffb3536f59bc268323c395525503a8b6b9a979
[scilab.git] / scilab / modules / linear_algebra / help / ja_JP / linear / pinv.xml
1 <?xml version="1.0" encoding="UTF-8"?>
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13 <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="pinv">
14     <refnamediv>
15         <refname>pinv</refname>
16         <refpurpose>擬似逆行列</refpurpose>
17     </refnamediv>
18     <refsynopsisdiv>
19         <title>呼び出し手順</title>
20         <synopsis>pinv(A,[tol])</synopsis>
21     </refsynopsisdiv>
22     <refsection>
23         <title>パラメータ</title>
24         <variablelist>
25             <varlistentry>
26                 <term>A</term>
27                 <listitem>
28                     <para>実数または複素数の行列</para>
29                 </listitem>
30             </varlistentry>
31             <varlistentry>
32                 <term>tol</term>
33                 <listitem>
34                     <para>実数</para>
35                 </listitem>
36             </varlistentry>
37         </variablelist>
38     </refsection>
39     <refsection>
40         <title>説明</title>
41         <para>
42             <literal>X= pinv(A)</literal> は,
43             <literal>A'</literal>と同じ次元の以下のような
44             行列<literal>X</literal>を出力します:
45         </para>
46         <para>
47             <literal>A*X*A = A, X*A*X = X</literal>  そして
48             <literal>A*X</literal> および <literal>X*A</literal>
49             はエルミート行列です.
50         </para>
51         <para>
52             計算は特異値分解に基づいており,
53             許容値よりも小さい特異値は 0 として扱われます:
54             この許容誤差は <literal>X=pinv(A,tol)</literal>
55             でアクセスされます.
56         </para>
57     </refsection>
58     <refsection>
59         <title>例</title>
60         <programlisting role="example"><![CDATA[ 
61 A=rand(5,2)*rand(2,4);
62 norm(A*pinv(A)*A-A,1)
63  ]]></programlisting>
64     </refsection>
65     <refsection role="see also">
66         <title>参照</title>
67         <simplelist type="inline">
68             <member>
69                 <link linkend="rank">rank</link>
70             </member>
71             <member>
72                 <link linkend="svd">svd</link>
73             </member>
74             <member>
75                 <link linkend="qr">qr</link>
76             </member>
77         </simplelist>
78     </refsection>
79     <refsection>
80         <title>使用される関数</title>
81         <para>
82             <literal>pinv</literal> 関数は特異値分解に基づいています
83             (Scilab関数 <literal>svd</literal>).
84         </para>
85     </refsection>
86 </refentry>