6f8a22e7af0613951b6741a5e2a79d4c57070b07
[scilab.git] / scilab / modules / linear_algebra / help / ja_JP / factorization / householder.xml
1 <?xml version="1.0" encoding="UTF-8"?>
2
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17
18 <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="householder">
19     
20     <refnamediv>
21         
22         <refname>householder</refname>
23         
24         <refpurpose>ハウスホルダー直交鏡映行列</refpurpose>
25         
26     </refnamediv>
27     
28     <refsynopsisdiv>
29         
30         <title>呼び出し手順</title>
31         
32         <synopsis>u=householder(v [,w])</synopsis>
33         
34     </refsynopsisdiv>
35     
36     <refsection>
37         
38         <title>引数</title>
39         
40         <variablelist>
41             
42             <varlistentry>
43                 
44                 <term>v</term>
45                 
46                 <listitem>
47                     
48                     <para>実数または複素数の列ベクトル</para>
49                     
50                 </listitem>
51                 
52             </varlistentry>
53             
54             <varlistentry>
55                 
56                 <term>w</term>
57                 
58                 <listitem>
59                     
60                     <para>
61                         
62                         <literal>v</literal>と同じ大きさの実数または複素数の列ベクトル.
63                         
64                         デフォルト値は<literal>eye(v)</literal>
65                         
66                     </para>
67                     
68                 </listitem>
69                 
70             </varlistentry>
71             
72             <varlistentry>
73                 
74                 <term>u</term>
75                 
76                 <listitem>
77                     
78                     <para>実数または複素数の列ベクトル</para>
79                     
80                 </listitem>
81                 
82             </varlistentry>
83             
84         </variablelist>
85         
86     </refsection>
87     
88     <refsection>
89         
90         <title>説明</title>
91         
92         <para>
93             
94             同じ大きさの列ベクトル
95             
96             <literal>v</literal>, <literal> w</literal> を指定すると, 
97             
98             <literal>householder(v,w)</literal> は,
99             
100             <literal> (eye()-2*u*u')*v</literal>が<literal>w</literal>に比例するような
101             
102             ユニタリ列ベクトル<literal>u</literal>を返します.
103             
104             <literal>(eye()-2*u*u')</literal> はハウスホルダー直交鏡映行列です.
105             
106         </para>
107         
108         <para>
109             
110             <literal>w</literal> のデフォルト値は <literal> eye(v)</literal>です. 
111             
112             この場合,ベクトル<literal> (eye()-2*u*u')*v</literal> はベクトル 
113             
114             <literal> eye(v)*norm(v)</literal>です.
115             
116         </para>
117         
118     </refsection>
119     
120     <refsection role="see also">
121         
122         <title>参照</title>
123         
124         <simplelist type="inline">
125             
126             <member>
127                 
128                 <link linkend="qr">qr</link>
129                 
130             </member>
131             
132             <member>
133                 
134                 <link linkend="givens">givens</link>
135                 
136             </member>
137             
138         </simplelist>
139         
140     </refsection>
141     
142 </refentry>
143