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  • Committer: Package Import Robot
  • Author(s): Sylvestre Ledru
  • Date: 2012-08-30 14:42:38 UTC
  • mfrom: (1.4.7)
  • Revision ID: package-import@ubuntu.com-20120830144238-c1y2og7dbm7m9nig
Tags: 5.4.0-beta-3-1~exp1
* New upstream release
* Update the scirenderer dep
* Get ride of libjhdf5-java dependency

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<?xml version="1.0" encoding="UTF-8"?>
 
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<!--
 
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 * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab
 
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 * Copyright (C) 2008 - INRIA
 
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 * 
 
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 * This file must be used under the terms of the CeCILL.
 
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 * This source file is licensed as described in the file COPYING, which
 
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 * you should have received as part of this distribution.  The terms
 
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 * are also available at    
 
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 * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt
 
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 *
 
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 -->
 
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<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" version="5.0-subset Scilab" xml:lang="ja" xml:id="im_inv">
 
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  <refnamediv>
 
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    <refname>im_inv</refname>
 
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    <refpurpose>原像</refpurpose>
 
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  </refnamediv>
 
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  <refsynopsisdiv>
 
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    <title>呼び出し手順</title>
 
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    <synopsis>[X,dim]=im_inv(A,B [,tol])
 
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      [X,dim,Y]=im_inv(A,B, [,tol])
 
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    </synopsis>
 
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  </refsynopsisdiv>
 
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  <refsection>
 
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    <title>パラメータ</title>
 
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    <variablelist>
 
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      <varlistentry>
 
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        <term>A,B</term>
 
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        <listitem>
 
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          <para>同じ列の数を有する実数または複素数行列</para>
 
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        </listitem>
 
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      </varlistentry>
 
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      <varlistentry>
 
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        <term>X</term>
 
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        <listitem>
 
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          <para>
 
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            次数が<literal>A</literal>の列の数に等しい直交またはユニタリ正方行列
 
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          </para>
 
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        </listitem>
 
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      </varlistentry>
 
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      <varlistentry>
 
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        <term>dim</term>
 
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        <listitem>
 
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          <para>整数 (サブスペースの次元)</para>
 
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        </listitem>
 
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      </varlistentry>
 
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      <varlistentry>
 
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        <term>Y</term>
 
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        <listitem>
 
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          <para>
 
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            次数が<literal>A</literal>および<literal>B</literal>の行の数に等しい直交行列.
 
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          </para>
 
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        </listitem>
 
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      </varlistentry>
 
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    </variablelist>
 
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  </refsection>
 
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  <refsection>
 
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    <title>説明</title>
 
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    <para>
 
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      <literal>[X,dim]=im_inv(A,B)</literal> は <literal>(A^-1)(B)</literal>,
 
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      すなわち, <literal>A</literal>への像が range(<literal>B</literal>) に
 
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      あるベクトルを計算します.
 
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    </para>
 
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    <para>
 
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      <literal>X</literal>の最初の列 <literal>dim</literal> は
 
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      <literal>(A^-1)(B)</literal>に広がっています.
 
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    </para>
 
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    <para>
 
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      <literal>tol</literal> はサブ空間の取り込みを確認するために
 
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      閾値が使用されており,
 
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      そのデフォルト値は <literal>tol = 100*%eps</literal> です.
 
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      <literal>Y</literal> が返される時,
 
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      <literal>[Y*A*X,Y*B]</literal> は以下のように分割されます:
 
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      <literal>[A11,A12;0,A22]</literal>,<literal>[B1;0]</literal>
 
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    </para>
 
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    <para>
 
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      ただし, <literal>B1</literal>は行フルランク  (
 
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      <literal>rank(B)</literal>に等しい) そして <literal>A22</literal> は
 
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      列フルランクで <literal>dim</literal> 列となります.
 
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    </para>
 
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  </refsection>
 
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  <refsection>
 
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    <title>例</title>
 
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    <programlisting role="example"><![CDATA[ 
 
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A=[rand(2,5);[zeros(3,4),rand(3,1)]];B=[[1,1;1,1];zeros(3,2)];
 
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W=rand(5,5);A=W*A;B=W*B;
 
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[X,dim]=im_inv(A,B)
 
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svd([A*X(:,1:dim),B])   //vectors A*X(:,1:dim) belong to range(B)
 
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[X,dim,Y]=im_inv(A,B);[Y*A*X,Y*B]
 
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 ]]></programlisting>
 
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  </refsection>
 
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  <refsection role="see also">
 
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    <title>参照</title>
 
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    <simplelist type="inline">
 
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      <member>
 
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        <link linkend="rowcomp">rowcomp</link>
 
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      </member>
 
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      <member>
 
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        <link linkend="spaninter">spaninter</link>
 
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      </member>
 
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      <member>
 
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        <link linkend="spanplus">spanplus</link>
 
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      </member>
 
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      <member>
 
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        <link linkend="linsolve">linsolve</link>
 
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      </member>
 
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    </simplelist>
 
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  </refsection>
 
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</refentry>