japanese translation updated for linear-algebra.
[scilab.git] / scilab / modules / linear_algebra / help / ja_JP / eigen / projspec.xml
1 <?xml version="1.0" encoding="UTF-8"?>
2
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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="projspec">
16     
17     <refnamediv>
18         
19         <refname>projspec</refname>
20         
21         <refpurpose>スペクトル演算子</refpurpose>
22         
23     </refnamediv>
24     
25     <refsynopsisdiv>
26         
27         <title>呼び出し手順</title>
28         
29         <synopsis>[S,P,D,i]=projspec(A)</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>正方行列</para>
46                     
47                 </listitem>
48                 
49             </varlistentry>
50             
51             <varlistentry>
52                 
53                 <term>S, P, D</term>
54                 
55                 <listitem>
56                     
57                     <para>s正方行列</para>
58                     
59                 </listitem>
60                 
61             </varlistentry>
62             
63             <varlistentry>
64                 
65                 <term>i</term>
66                 
67                 <listitem>
68                     
69                     <para>
70                         
71                         整数 (<literal>A</literal>のゼロ固有値の添字).
72                         
73                     </para>
74                     
75                 </listitem>
76                 
77             </varlistentry>
78             
79         </variablelist>
80         
81     </refsection>
82     
83     <refsection>
84         
85         <title>説明</title>
86         
87         <para>
88             
89             <literal>A</literal>の0におけるスペクトル特性.
90             
91         </para>
92         
93         <para>
94             
95             <literal>S</literal> = 0における縮小レゾルベント 
96             
97             (<literal>S</literal> = -Drazin_inverse(<literal>A</literal>)).
98             
99         </para>
100         
101         <para>
102             
103             <literal>P</literal> = 0におけるスペクトル投影.
104             
105         </para>
106         
107         <para>
108             
109             <literal>D</literal> = 0における冪零演算子.
110             
111         </para>
112         
113         <para>
114             
115             <literal>index</literal> = 0固有値の添字.
116             
117         </para>
118         
119         <para>
120             
121             特異点s=0の周りでの
122             
123             <literal>(s*eye()-A)^(-1) = D^(i-1)/s^i +... + D/s^2 + P/s - S - s*S^2 -...</literal>
124             
125             が出力されます.
126             
127         </para>
128         
129     </refsection>
130     
131     <refsection>
132         
133         <title>例</title>
134         
135         <programlisting role="example"><![CDATA[ 
136 deff('j=jdrn(n)','j=zeros(n,n);for k=1:n-1;j(k,k+1)=1;end')
137 A=sysdiag(jdrn(3),jdrn(2),rand(2,2));X=rand(7,7);
138 A=X*A*inv(X);
139 [S,P,D,index]=projspec(A);
140 index   //J-ブロックの大きさ
141 trace(P)  //J-ブロックの次元の合計
142 A*S-(eye()-P)
143 norm(D^index,1)
144  ]]></programlisting>
145         
146     </refsection>
147     
148     <refsection role="see also">
149         
150         <title>参照</title>
151         
152         <simplelist type="inline">
153             
154             <member>
155                 
156                 <link linkend="coff">coff</link>
157                 
158             </member>
159             
160         </simplelist>
161         
162     </refsection>
163     
164 </refentry>
165