e49df4a60d6056f383ac689d41c973210aa0f41c
[scilab.git] / scilab / modules / linear_algebra / help / ja_JP / factorization / givens.xml
1 <?xml version="1.0" encoding="UTF-8"?>
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13 <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="givens">
14     <refnamediv>
15         <refname>givens</refname>
16         <refpurpose>ギブンス変換</refpurpose>
17     </refnamediv>
18     <refsynopsisdiv>
19         <title>呼び出し手順</title>
20         <synopsis>U=givens(xy)
21             U=givens(x,y)
22             [U,c]=givens(xy)
23             [U,c]=givens(x,y)
24         </synopsis>
25     </refsynopsisdiv>
26     <refsection>
27         <title>パラメータ</title>
28         <variablelist>
29             <varlistentry>
30                 <term>x,y</term>
31                 <listitem>
32                     <para>実数または複素数</para>
33                 </listitem>
34             </varlistentry>
35             <varlistentry>
36                 <term>xy</term>
37                 <listitem>
38                     <para>実数または複素数の要素数2の列ベクトル</para>
39                 </listitem>
40             </varlistentry>
41             <varlistentry>
42                 <term>U</term>
43                 <listitem>
44                     <para>2x2 ユニタリ行列</para>
45                 </listitem>
46             </varlistentry>
47             <varlistentry>
48                 <term>c</term>
49                 <listitem>
50                     <para>実数または複素数の要素数2の列ベクトル</para>
51                 </listitem>
52             </varlistentry>
53         </variablelist>
54     </refsection>
55     <refsection>
56         <title>説明</title><literal>xy = [x;y]</literal>として
57         <para>
58             <literal>U= givens(x, y)</literal> または <literal>U = givens(xy)</literal> 
59             は,次のような<literal>2</literal>x<literal>2</literal> の
60             ユニタリ行列 <literal>U</literal> を返します:
61         </para>
62         <para>
63             <literal>U*xy=[r;0]=c</literal>.
64         </para>
65         <para>
66             <note>
67                 <literal>givens(x,y)</literal> および <literal>givens([x;y])</literal> は等価であることに
68                 注意してください.
69             </note>
70         </para>
71     </refsection>
72     <refsection>
73         <title>例</title>
74         <programlisting role="example"><![CDATA[ 
75 A=[3,4;5,6];
76 U=givens(A(:,1));
77 U*A
78  ]]></programlisting>
79     </refsection>
80     <refsection role="see also">
81         <title>参照</title>
82         <simplelist type="inline">
83             <member>
84                 <link linkend="qr">qr</link>
85             </member>
86         </simplelist>
87     </refsection>
88 </refentry>