japanese translation updated for linear-algebra.
[scilab.git] / scilab / modules / linear_algebra / help / ja_JP / kernel / fullrf.xml
1 <?xml version="1.0" encoding="UTF-8"?>
2
3 <!--
4  * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab
5  * Copyright (C) 2008 - INRIA
6  * 
7  * This file must be used under the terms of the CeCILL.
8  * This source file is licensed as described in the file COPYING, which
9  * you should have received as part of this distribution.  The terms
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="fullrf">
16     
17     <refnamediv>
18         
19         <refname>fullrf</refname>
20         
21         <refpurpose>フルランク分解</refpurpose>
22         
23     </refnamediv>
24     
25     <refsynopsisdiv>
26         
27         <title>呼び出し手順</title>
28         
29         <synopsis>[Q,M,rk]=fullrf(A,[tol])</synopsis>
30         
31     </refsynopsisdiv>
32     
33     <refsection>
34         
35         <title>引数</title>
36         
37         <variablelist>
38             
39             <varlistentry>
40                 
41                 <term>A</term>
42                 
43                 <listitem>
44                     
45                     <para>実数または複素数の行列</para>
46                     
47                 </listitem>
48                 
49             </varlistentry>
50             
51             <varlistentry>
52                 
53                 <term>tol</term>
54                 
55                 <listitem>
56                     
57                     <para>実数 (ランク定義時の閾値)</para>
58                     
59                 </listitem>
60                 
61             </varlistentry>
62             
63             <varlistentry>
64                 
65                 <term>Q,M</term>
66                 
67                 <listitem>
68                     
69                     <para>実数または複素数の行列</para>
70                     
71                 </listitem>
72                 
73             </varlistentry>
74             
75             <varlistentry>
76                 
77                 <term>rk</term>
78                 
79                 <listitem>
80                     
81                     <para>
82                         
83                         整数 (<literal>A</literal>のランク)
84                         
85                     </para>
86                     
87                 </listitem>
88                 
89             </varlistentry>
90             
91         </variablelist>
92         
93     </refsection>
94     
95     <refsection>
96         
97         <title>説明</title>
98         
99         <para>
100             
101             フルランク分解 : <literal>fullrf</literal> は,
102             
103             <literal>A = Q*M</literal>となるような
104             
105             <literal>Q</literal> および <literal>M</literal>を返します.
106             
107             ただし,
108             
109             range(<literal>Q</literal>)=range(<literal>A</literal>) および
110             
111             ker(<literal>M</literal>)=ker(<literal>A</literal>),
112             
113             <literal>Q</literal> フル列ランク , <literal>M</literal> フル行ランク,
114             
115             <literal>rk = rank(A) = #columns(Q) = #rows(M)</literal>です.
116             
117         </para>
118         
119         <para>
120             
121             <literal>tol</literal> はオプションの実数パラメータです
122             
123             (デフォルト値は <literal>sqrt(%eps)</literal>です).
124             
125             <literal>A</literal>のランク<literal>rk</literal>は
126             
127             <literal>norm(A)*tol</literal>より大きな
128             
129             特異値の数として定義されます.
130             
131         </para>
132         
133         <para>
134             
135             Aが対称の場合,
136             
137             <literal>fullrf</literal> は <literal>M=Q'</literal>を返します.
138             
139         </para>
140         
141     </refsection>
142     
143     <refsection>
144         
145         <title>例</title>
146         
147         <programlisting role="example"><![CDATA[ 
148 A=rand(5,2)*rand(2,5);
149 [Q,M]=fullrf(A);
150 norm(Q*M-A,1)
151 [X,d]=rowcomp(A);Y=X';
152 svd([A,Y(:,1:d),Q])        //span(Q) = span(A) = span(Y(:,1:2))
153  ]]></programlisting>
154         
155     </refsection>
156     
157     <refsection role="see also">
158         
159         <title>参照</title>
160         
161         <simplelist type="inline">
162             
163             <member>
164                 
165                 <link linkend="svd">svd</link>
166                 
167             </member>
168             
169             <member>
170                 
171                 <link linkend="qr">qr</link>
172                 
173             </member>
174             
175             <member>
176                 
177                 <link linkend="fullrfk">fullrfk</link>
178                 
179             </member>
180             
181             <member>
182                 
183                 <link linkend="rowcomp">rowcomp</link>
184                 
185             </member>
186             
187             <member>
188                 
189                 <link linkend="colcomp">colcomp</link>
190                 
191             </member>
192             
193         </simplelist>
194         
195     </refsection>
196     
197 </refentry>
198