japanese translation updated for linear-algebra.
[scilab.git] / scilab / modules / linear_algebra / help / ja_JP / eigen / psmall.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="psmall">
16     
17     <refnamediv>
18         
19         <refname>psmall</refname>
20         
21         <refpurpose>スペクトル投影</refpurpose>
22         
23     </refnamediv>
24     
25     <refsynopsisdiv>
26         
27         <title>呼び出し手順</title>
28         
29         <synopsis>[Q,M]=psmall(A,thres,flag)</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>実数の正方行列</para>
46                     
47                 </listitem>
48                 
49             </varlistentry>
50             
51             <varlistentry>
52                 
53                 <term>thres</term>
54                 
55                 <listitem>
56                     
57                     <para>実数</para>
58                     
59                 </listitem>
60                 
61             </varlistentry>
62             
63             <varlistentry>
64                 
65                 <term>flag</term>
66                 
67                 <listitem>
68                     
69                     <para>
70                         
71                         文字列 (<literal>'c'</literal> または <literal>'d'</literal>)
72                         
73                     </para>
74                     
75                 </listitem>
76                 
77             </varlistentry>
78             
79             <varlistentry>
80                 
81                 <term>Q,M</term>
82                 
83                 <listitem>
84                     
85                     <para>実数行列</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             実部 &lt; <literal>thres</literal> (<literal>flag='c'</literal>)
102             
103             または絶対値 &lt; <literal>thres</literal>(<literal>flag='d'</literal>)
104             
105             となる固有値-部分空間への投影.
106             
107         </para>
108         
109         <para>
110             
111             この投影は<literal>Q*M</literal>により定義されます.
112             
113             ここで,
114             
115             <literal>Q</literal>は列フルランク,<literal>M</literal>は行フルランク,
116             
117             そして<literal>M*Q=eye</literal>です.
118             
119         </para>
120         
121         <para>
122             
123             <literal>flag='c'</literal>の場合, 
124             
125             <literal>M*A*Q</literal>の固有値 = 
126             
127             実部&lt; <literal>thres</literal>の<literal>A</literal>の固有値.
128             
129         </para>
130         
131         <para>
132             
133             <literal>flag='d'</literal>の場合, 
134             
135             <literal>M*A*Q</literal>の固有値 = 
136             
137             大きさ &lt; <literal>thres</literal>の<literal>A</literal>の固有値.
138             
139         </para>
140         
141         <para>
142             
143             <literal>flag='c'</literal>の場合, 
144             
145             <literal>[Q1,M1]</literal> = <literal>eye()-Q*M</literal>の
146             
147             フルランク分解(<literal>fullrf</literal>)の場合,
148             
149             <literal>M1*A*Q1</literal>の固有値 =実部&gt;=
150             
151             <literal>thres</literal>の
152             
153             <literal>A</literal>の固有値となります.
154             
155         </para>
156         
157         <para>
158             
159             <literal>flag='d'</literal>の場合,
160             
161             <literal>[Q1,M1]</literal> =<literal>eye()-Q*M</literal>
162             
163             のフルランク分解(<literal>fullrf</literal>)の場合,
164             
165             <literal>M1*A*Q1</literal>の固有値 =
166             
167             大きさ&gt;=<literal>thres</literal>の
168             
169             <literal>A</literal>の固有値.
170             
171         </para>
172         
173     </refsection>
174     
175     <refsection>
176         
177         <title>例</title>
178         
179         <programlisting role="example"><![CDATA[ 
180 A=diag([1,2,3]);X=rand(A);A=inv(X)*A*X;
181 [Q,M]=psmall(A,2.5,'d');
182 spec(M*A*Q)
183 [Q1,M1]=fullrf(eye()-Q*M);
184 spec(M1*A*Q1)
185  ]]></programlisting>
186         
187     </refsection>
188     
189     <refsection role="see also">
190         
191         <title>参照</title>
192         
193         <simplelist type="inline">
194             
195             <member>
196                 
197                 <link linkend="pbig">pbig</link>
198                 
199             </member>
200             
201             <member>
202                 
203                 <link linkend="proj">proj</link>
204                 
205             </member>
206             
207             <member>
208                 
209                 <link linkend="projspec">projspec</link>
210                 
211             </member>
212             
213         </simplelist>
214         
215     </refsection>
216     
217     <refsection>
218         
219         <title>使用される関数</title>
220         
221         <para>
222             
223             この関数はソートされた Schur形式(scilab
224             
225             関数 <literal>schur</literal>)に基づいています.
226             
227         </para>
228         
229     </refsection>
230     
231 </refentry>
232