japanese translation updated for linear-algebra.
[scilab.git] / scilab / modules / linear_algebra / help / ja_JP / kernel / im_inv.xml
1 <?xml version="1.0" encoding="UTF-8"?>
2
3 <!--
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5  * Copyright (C) 2008 - INRIA
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10  * are also available at    
11  * http://www.cecill.info/licences/Licence_CeCILL_V2.1-en.txt
12  *
13  -->
14
15 <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="im_inv">
16     
17     <refnamediv>
18         
19         <refname>im_inv</refname>
20         
21         <refpurpose>原像</refpurpose>
22         
23     </refnamediv>
24     
25     <refsynopsisdiv>
26         
27         <title>呼び出し手順</title>
28         
29         <synopsis>[X,dim]=im_inv(A,B [,tol])
30             
31             [X,dim,Y]=im_inv(A,B, [,tol])
32             
33         </synopsis>
34         
35     </refsynopsisdiv>
36     
37     <refsection>
38         
39         <title>引数</title>
40         
41         <variablelist>
42             
43             <varlistentry>
44                 
45                 <term>A,B</term>
46                 
47                 <listitem>
48                     
49                     <para>同じ列の数を有する実数または複素数行列</para>
50                     
51                 </listitem>
52                 
53             </varlistentry>
54             
55             <varlistentry>
56                 
57                 <term>X</term>
58                 
59                 <listitem>
60                     
61                     <para>
62                         
63                         次数が<literal>A</literal>の列の数に等しい直交またはユニタリ正方行列
64                         
65                     </para>
66                     
67                 </listitem>
68                 
69             </varlistentry>
70             
71             <varlistentry>
72                 
73                 <term>dim</term>
74                 
75                 <listitem>
76                     
77                     <para>整数 (部分空間の次元)</para>
78                     
79                 </listitem>
80                 
81             </varlistentry>
82             
83             <varlistentry>
84                 
85                 <term>Y</term>
86                 
87                 <listitem>
88                     
89                     <para>
90                         
91                         次数が<literal>A</literal>および<literal>B</literal>の行の数に等しい直交行列.
92                         
93                     </para>
94                     
95                 </listitem>
96                 
97             </varlistentry>
98             
99         </variablelist>
100         
101     </refsection>
102     
103     <refsection>
104         
105         <title>説明</title>
106         
107         <para>
108             
109             <literal>[X,dim]=im_inv(A,B)</literal> は <literal>(A^-1)(B)</literal>,
110             
111             すなわち, <literal>A</literal>への像が range(<literal>B</literal>) に
112             
113             あるベクトルを計算します.
114             
115         </para>
116         
117         <para>
118             
119             <literal>X</literal>の最初の列 <literal>dim</literal> は
120             
121             <literal>(A^-1)(B)</literal>に広がっています.
122             
123         </para>
124         
125         <para>
126             
127             <literal>tol</literal> は部分空間の取り込みを確認するために
128             
129             閾値が使用されており,
130             
131             そのデフォルト値は <literal>tol = 100*%eps</literal> です.
132             
133             <literal>Y</literal> が返される時,
134             
135             <literal>[Y*A*X,Y*B]</literal> は以下のように分割されます:
136             
137             <literal>[A11,A12;0,A22]</literal>,<literal>[B1;0]</literal>
138             
139         </para>
140         
141         <para>
142             
143             ただし, <literal>B1</literal>は行フルランク  (
144             
145             <literal>rank(B)</literal>に等しい) そして <literal>A22</literal> は
146             
147             列フルランクで <literal>dim</literal> 列となります.
148             
149         </para>
150         
151     </refsection>
152     
153     <refsection>
154         
155         <title>例</title>
156         
157         <programlisting role="example"><![CDATA[ 
158 A=[rand(2,5);[zeros(3,4),rand(3,1)]];B=[[1,1;1,1];zeros(3,2)];
159 W=rand(5,5);A=W*A;B=W*B;
160 [X,dim]=im_inv(A,B)
161 svd([A*X(:,1:dim),B])   //vectors A*X(:,1:dim) belong to range(B)
162 [X,dim,Y]=im_inv(A,B);[Y*A*X,Y*B]
163  ]]></programlisting>
164         
165     </refsection>
166     
167     <refsection role="see also">
168         
169         <title>参照</title>
170         
171         <simplelist type="inline">
172             
173             <member>
174                 
175                 <link linkend="rowcomp">rowcomp</link>
176                 
177             </member>
178             
179             <member>
180                 
181                 <link linkend="spaninter">spaninter</link>
182                 
183             </member>
184             
185             <member>
186                 
187                 <link linkend="spanplus">spanplus</link>
188                 
189             </member>
190             
191             <member>
192                 
193                 <link linkend="linsolve">linsolve</link>
194                 
195             </member>
196             
197         </simplelist>
198         
199     </refsection>
200     
201 </refentry>
202