japanese translation updated for linear-algebra.
[scilab.git] / scilab / modules / linear_algebra / help / ja_JP / kernel / rowcomp.xml
1 <?xml version="1.0" encoding="UTF-8"?>
2
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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="rowcomp">
16     
17     <refnamediv>
18         
19         <refname>rowcomp</refname>
20         
21         <refpurpose>行圧縮, 範囲</refpurpose>
22         
23     </refnamediv>
24     
25     <refsynopsisdiv>
26         
27         <title>呼び出し手順</title>
28         
29         <synopsis>[W,rk]=rowcomp(A [,flag [,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>flag</term>
54                 
55                 <listitem>
56                     
57                     <para>オプションの文字列, 指定可能な値は
58                         
59                         <literal>'svd'</literal> または <literal>'qr'</literal>です. 
60                         
61                         デフォルト値  <literal>'svd'</literal>はです.
62                         
63                     </para>
64                     
65                 </listitem>
66                 
67             </varlistentry>
68             
69             <varlistentry>
70                 
71                 <term>tol</term>
72                 
73                 <listitem>
74                     
75                     <para>オプションの非負の実数. デフォルト値は 
76                         
77                         <literal>sqrt(%eps)*norm(A,1)</literal>.
78                         
79                     </para>
80                     
81                 </listitem>
82                 
83             </varlistentry>
84             
85             <varlistentry>
86                 
87                 <term>W</term>
88                 
89                 <listitem>
90                     
91                     <para>正方正則行列 (基底の変更)</para>
92                     
93                 </listitem>
94                 
95             </varlistentry>
96             
97             <varlistentry>
98                 
99                 <term>rk</term>
100                 
101                 <listitem>
102                     
103                     <para>
104                         
105                         整数 (<literal>A</literal>のランク)
106                         
107                     </para>
108                     
109                 </listitem>
110                 
111             </varlistentry>
112             
113         </variablelist>
114         
115     </refsection>
116     
117     <refsection>
118         
119         <title>説明</title>
120         
121         <para>
122             
123             <literal>A</literal>の行圧縮. <literal>Ac = W*A</literal> は行圧縮された行列です: すなわち, 
124             
125             <literal>Af</literal>を行フルランクとして
126             
127             <literal>Ac=[Af;0]</literal> となります.
128             
129         </para>
130         
131         <para>
132             
133             <literal>flag</literal> および <literal>tol</literal> はオプションのパラメータです: <literal>flag='qr'</literal> 
134             
135             または <literal>'svd'</literal> (デフォルト <literal>'svd'</literal>).
136             
137         </para>
138         
139         <para>
140             
141             <literal>tol</literal> は許容誤差パラメータです.
142             
143         </para>
144         
145         <para>
146             
147             <literal>W'</literal>の最初の<literal>rk</literal> 列には,
148             
149             <literal>A</literal>の範囲が広がります.
150             
151         </para>
152         
153         <para>
154             
155             <literal>W</literal>の最初の(上側の)<literal>rk</literal> 行には,
156             
157             <literal>A</literal>の行範囲が広がります.
158             
159         </para>
160         
161         <para>
162             
163             非ゼロベクトル <literal>x</literal> は,
164             
165             <literal>W*x</literal>が<literal>Ac</literal>に基づき行圧縮された場合,
166             
167             すなわち,その最後の要素のノルムが最初の要素に対して小さい場合に限り,
168             
169             range(<literal>A</literal>)に属します.
170             
171         </para>
172         
173     </refsection>
174     
175     <refsection>
176         
177         <title>例</title>
178         
179         <programlisting role="example"><![CDATA[ 
180 A=rand(5,2)*rand(2,4);              // 4 列ベクトル, 2 つは独立.
181 [X,dim]=rowcomp(A);Xp=X';
182 svd([Xp(:,1:dim),A])                //span(A) = span(Xp(:,1:dim)
183 x=A*rand(4,1);                      //x は span(A)に属します
184 y=X*x  
185 norm(y(dim+1:$))/norm(y(1:dim))     // 小さい
186  ]]></programlisting>
187         
188     </refsection>
189     
190     <refsection role="see also">
191         
192         <title>参照</title>
193         
194         <simplelist type="inline">
195             
196             <member>
197                 
198                 <link linkend="colcomp">colcomp</link>
199                 
200             </member>
201             
202             <member>
203                 
204                 <link linkend="fullrf">fullrf</link>
205                 
206             </member>
207             
208             <member>
209                 
210                 <link linkend="fullrfk">fullrfk</link>
211                 
212             </member>
213             
214         </simplelist>
215         
216     </refsection>
217     
218     <refsection>
219         
220         <title>使用される関数</title>
221         
222         <para>
223             
224             <literal>rowcomp</literal> 関数は<link linkend="svd">svd</link> または
225             
226             <link linkend="qr">qr</link> 分解d.
227             
228         </para>
229         
230     </refsection>
231     
232 </refentry>
233