linsolve.xml updated - examples replaced by demos.
[scilab.git] / scilab / modules / linear_algebra / help / ja_JP / linear / linsolve.xml
index 720ea68..aa57bd7 100644 (file)
@@ -1,5 +1,4 @@
 <?xml version="1.0" encoding="UTF-8"?>
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 <!--
  * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab
  * Copyright (C) 2008 - INRIA
  * along with this program.
  *
  -->
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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" xmlns:scilab="http://www.scilab.org" xml:lang="ja" xml:id="linsolve">
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     <refnamediv>
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         <refname>linsolve</refname>
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         <refpurpose>線形方程式ソルバ</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>[x0,kerA]=linsolve(A,b [,x0])</synopsis>
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     </refsynopsisdiv>
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     <refsection>
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         <title>引数</title>
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         <variablelist>
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             <varlistentry>
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                 <term>A</term>
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                 <listitem>
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                     <para>
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                         a <literal>na x ma</literal> 実数行列 (疎行列の場合もあり)
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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>b</term>
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                 <listitem>
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                     <para>
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                         <literal>na x 1</literal>ベクトル (<literal>A</literal>の行と同じ次元)
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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>x0</term>
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                 <listitem>
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                     <para>実数ベクトル</para>
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                 </listitem>
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             </varlistentry>
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             <varlistentry>
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                 <term>kerA</term>
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                 <listitem>
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                     <para>
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                         <literal>ma x k</literal> 実数行列
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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>linsolve</literal>  は,
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             <literal> A*x+b=0</literal>の解を全て計算します.
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         </para>
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         <para>
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             <literal>x0</literal> は特解 (存在する場合),
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             <literal> kerA </literal> は<literal>A</literal>のヌル空間です.
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             任意の<literal>w</literal>について<literal>x=x0+kerA*w</literal>は,
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             <literal> A*x+b=0</literal>を満たします.
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         </para>
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         <para>
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             互換性のある <literal>x0</literal> がエントリに指定された場合,
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             <literal>x0</literal>が返されます.
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             そうでない場合,<literal>x0</literal>と互換性のあるもの(存在する場合)が返されます.
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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[
 A=rand(5,3)*rand(3,8);
 b=A*ones(8,1);[x,kerA]=linsolve(A,b);A*x+b   //compatible b
 b=ones(5,1);[x,kerA]=linsolve(A,b);A*x+b   //uncompatible b
 A=rand(5,5);[x,kerA]=linsolve(A,b), -inv(A)*b  //x is unique
+
 // Benchmark with other linear sparse solver:
-[A,descr,ref,mtype] = ReadHBSparse(SCI+"/modules/umfpack/examples/bcsstk24.rsa");
+[A,descr,ref,mtype] = ReadHBSparse(SCI+"/modules/umfpack/demos/bcsstk24.rsa");
 b = zeros(size(A,1),1);
+
 tic();
 res = umfpack(A,'\',b);
 mprintf('\ntime needed to solve the system with umfpack: %.3f\n',toc());
+
 tic();
 res = linsolve(A,b);
 mprintf('\ntime needed to solve the system with linsolve: %.3f\n',toc());
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 tic();
 res = A\b;
 mprintf('\ntime needed to solve the system with the backslash operator: %.3f\n',toc());
  ]]></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="inv">inv</link>
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             </member>
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             <member>
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                 <link linkend="pinv">pinv</link>
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             </member>
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             <member>
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                 <link linkend="colcomp">colcomp</link>
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             </member>
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             <member>
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                 <link linkend="im_inv">im_inv</link>
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             </member>
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             <member>
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                 <link linkend="umfpack">umfpack</link>
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             </member>
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             <member>
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                 <link linkend="backslash">backslash</link>
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             </member>
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         </simplelist>
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     </refsection>
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 </refentry>
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