dbac0cf836150689cbf93ab514f15f65f8128c29
[scilab.git] / scilab / modules / linear_algebra / help / ja_JP / kernel / fullrfk.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="fullrfk">
14     <refnamediv>
15         <refname>fullrfk</refname>
16         <refpurpose>A^kのフルランク分解</refpurpose>
17     </refnamediv>
18     <refsynopsisdiv>
19         <title>呼び出し手順</title>
20         <synopsis>[Bk,Ck]=fullrfk(A,k)</synopsis>
21     </refsynopsisdiv>
22     <refsection>
23         <title>パラメータ</title>
24         <variablelist>
25             <varlistentry>
26                 <term>A</term>
27                 <listitem>
28                     <para>実数または複素数の行列</para>
29                 </listitem>
30             </varlistentry>
31             <varlistentry>
32                 <term>k</term>
33                 <listitem>
34                     <para>整数</para>
35                 </listitem>
36             </varlistentry>
37             <varlistentry>
38                 <term>Bk,Ck</term>
39                 <listitem>
40                     <para>実数または複素数の行列</para>
41                 </listitem>
42             </varlistentry>
43         </variablelist>
44     </refsection>
45     <refsection>
46         <title>説明</title>
47         <para>
48             この関数は,<literal>A^k</literal>のフルランク分解,
49             すなわち, <literal>Bk*Ck=A^k</literal> を計算します.
50             ただし, <literal>Bk</literal> は列フルランク,
51             <literal>Ck</literal>は行フルランクです.
52             range(<literal>Bk</literal>)=range(<literal>A^k</literal>) 
53             および ker(<literal>Ck</literal>)=ker(<literal>A^k</literal>)となります.
54         </para>
55         <para>
56             <literal>k=1</literal>の場合, <literal>fullrfk</literal> は
57             <literal>fullrf</literal>と等価になります.
58         </para>
59     </refsection>
60     <refsection>
61         <title>例</title>
62         <programlisting role="example"><![CDATA[ 
63 A=rand(5,2)*rand(2,5);[Bk,Ck]=fullrfk(A,3);
64 norm(Bk*Ck-A^3,1)
65  ]]></programlisting>
66     </refsection>
67     <refsection role="see also">
68         <title>参照</title>
69         <simplelist type="inline">
70             <member>
71                 <link linkend="fullrf">fullrf</link>
72             </member>
73             <member>
74                 <link linkend="range">range</link>
75             </member>
76         </simplelist>
77     </refsection>
78 </refentry>