101f8f9b636f59da75c25946668448593eab0cf9
[scilab.git] / scilab / modules / linear_algebra / help / ja_JP / eigen / pbig.xml
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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="pbig">
14     <refnamediv>
15         <refname>pbig</refname>
16         <refpurpose>固有投影</refpurpose>
17     </refnamediv>
18     <refsynopsisdiv>
19         <title>呼び出し手順</title>
20         <synopsis>[Q,M]=pbig(A,thres,flag)</synopsis>
21     </refsynopsisdiv>
22     <refsection>
23         <title>Parameters</title>
24         <variablelist>
25             <varlistentry>
26                 <term>A</term>
27                 <listitem>
28                     <para>実数正方行列</para>
29                 </listitem>
30             </varlistentry>
31             <varlistentry>
32                 <term>thres</term>
33                 <listitem>
34                     <para>実数</para>
35                 </listitem>
36             </varlistentry>
37             <varlistentry>
38                 <term>flag</term>
39                 <listitem>
40                     <para>
41                         文字列 (<literal>'c'</literal> または <literal>'d'</literal>)
42                     </para>
43                 </listitem>
44             </varlistentry>
45             <varlistentry>
46                 <term>Q,M</term>
47                 <listitem>
48                     <para>実数行列</para>
49                 </listitem>
50             </varlistentry>
51         </variablelist>
52     </refsection>
53     <refsection>
54         <title>説明</title>
55         <para>
56             実部&gt;= <literal>thres</literal> (<literal>flag='c'</literal>)
57             または
58             大きさ&gt;= <literal>thres</literal>(<literal>flag='d'</literal>)
59             の固有値を有する固有値-部分空間への投影.
60         </para>
61         <para>
62             投影は<literal>Q*M</literal>により定義され,<literal>Q</literal>
63             は列フルランク, <literal>M</literal>は行フルランクおよび
64             <literal>M*Q=eye</literal>.
65         </para>
66         <para>
67             <literal>flag='c'</literal>の場合, 
68             <literal>M*A*Q</literal>の固有値 = 実部&gt;= <literal>thres</literal>
69             の<literal>A</literal>の固有値となります.
70         </para>
71         <para>
72             <literal>flag='d'</literal>の場合, 
73             <literal>M*A*Q</literal>の固有値 = 大きさ&gt;= <literal>thres</literal>の
74             <literal>A</literal>の固有値となります.
75         </para>
76         <para>
77             <literal>flag='c'</literal> の場合,そして
78             <literal>[Q1,M1]</literal> = <literal>eye()-Q*M</literal>の
79             フルランク分解 (<literal>fullrf</literal>)の場合,
80             <literal>M1*A*Q1</literal>の固有値 =
81             実部 &lt; <literal>thres</literal>の<literal>A</literal>の固有値となります.
82         </para>
83         <para>
84             <literal>flag='d'</literal>の場合,そして <literal>[Q1,M1]</literal> =
85             <literal>eye()-Q*M</literal>のフルランク分解 (<literal>fullrf</literal>)の場合,
86             <literal>M1*A*Q1</literal>の固有値 =大きさ &lt;<literal>thres</literal>の
87             <literal>A</literal>の固有値となります.
88         </para>
89     </refsection>
90     <refsection>
91         <title>例</title>
92         <programlisting role="example"><![CDATA[ 
93 A=diag([1,2,3]);X=rand(A);A=inv(X)*A*X;
94 [Q,M]=pbig(A,1.5,'d');
95 spec(M*A*Q)
96 [Q1,M1]=fullrf(eye()-Q*M);
97 spec(M1*A*Q1)
98  ]]></programlisting>
99     </refsection>
100     <refsection role="see also">
101         <title>参照</title>
102         <simplelist type="inline">
103             <member>
104                 <link linkend="psmall">psmall</link>
105             </member>
106             <member>
107                 <link linkend="projspec">projspec</link>
108             </member>
109             <member>
110                 <link linkend="fullrf">fullrf</link>
111             </member>
112             <member>
113                 <link linkend="schur">schur</link>
114             </member>
115         </simplelist>
116     </refsection>
117     <refsection>
118         <title>使用される関数</title>
119         <para>
120             <literal>pbig</literal> は
121             ソートされた Schur 形式に基づいています
122             (Scilab関数 <literal>schur</literal>).
123         </para>
124     </refsection>
125 </refentry>