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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="ISO-8859-1"?>
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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:ns3="http://www.w3.org/1999/xhtml" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:db="http://docbook.org/ns/docbook" version="5.0-subset Scilab" xml:id="pbig" xml:lang="en">
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  <refnamediv>
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    <refname>pbig</refname>
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    <refpurpose>autoproje��o</refpurpose>
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  </refnamediv>
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  <refsynopsisdiv>
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    <title> Seq��ncia de Chamamento </title>
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    <synopsis>[Q,M]=pbig(A,thres,flag)</synopsis>
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  </refsynopsisdiv>
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  <refsection>
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    <title> Par�metros </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>matriz quadrada de reais </para>
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        </listitem>
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      </varlistentry>
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      <varlistentry>
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        <term>thres</term>
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        <listitem>
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          <para>n�mero real </para>
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        </listitem>
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      </varlistentry>
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      <varlistentry>
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        <term>flag</term>
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        <listitem>
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          <para>
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            string (<literal>'c'</literal> ou
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            <literal>'d'</literal>)
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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>Q,M</term>
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        <listitem>
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          <para>matrizes de reais</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>Descri��o</title>
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    <para>Proje��o sobre um auto-subespa�o associado aos autovalores de parte
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      real&gt;= <literal>thres</literal> (<literal>flag='c'</literal>) ou com
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      magnitude &gt;= <literal>thres</literal>
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      (<literal>flag='d'</literal>).
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    </para>
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    <para>
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      A proje��o � definida por <literal>Q*M</literal>,
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      <literal>Q</literal> tem posto-coluna cheio, <literal>M</literal> tem
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      posto-linha cheio e <literal>M*Q=eye</literal>.
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    </para>
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    <para>
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      Se <literal>flag='c'</literal>, os autovalores de
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      <literal>M*A*Q</literal> = autovalores de <literal>A</literal> com parte
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      real &gt;= <literal>thres</literal>.
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    </para>
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    <para>
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      Se <literal>flag='d'</literal>, os autovalores de
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      <literal>M*A*Q</literal> = autovalores de <literal>A</literal> com
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      magnitude &gt;= <literal>thres</literal>.
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    </para>
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    <para>
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      Se <literal>flag='c'</literal> e se <literal>[Q1,M1]</literal> =
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      fatora��o em posto cheio (<literal>fullrf</literal>) de
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      <literal>eye()-Q*M</literal> ent�o os autovalores de
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      <literal>M1*A*Q1</literal> = autovalores de <literal>A</literal> com parte
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      real &lt; <literal>thres</literal>.
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    </para>
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    <para>
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      Se <literal>flag='d'</literal> e se <literal>[Q1,M1]</literal>
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      =fatora��o em posto cheio (<literal>fullrf</literal>) de
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      <literal>eye()-Q*M</literal> ent�o os autovalores de
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      <literal>M1*A*Q1</literal> = autovalores de <literal>A</literal> com
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      magnitude &lt; <literal>thres</literal>.
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    </para>
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  </refsection>
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  <refsection>
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    <title>Exemplos</title>
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    <programlisting role="example"><![CDATA[ 
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A=diag([1,2,3]);X=rand(A);A=inv(X)*A*X;
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[Q,M]=pbig(A,1.5,'d');
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spec(M*A*Q)
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[Q1,M1]=fullrf(eye()-Q*M);
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spec(M1*A*Q1)
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 ]]></programlisting>
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  </refsection>
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  <refsection>
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    <title> Ver Tamb�m </title>
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    <simplelist type="inline">
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      <member>
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        <link linkend="psmall">psmall</link>
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      </member>
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      <member>
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        <link linkend="projspec">projspec</link>
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      </member>
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      <member>
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        <link linkend="fullrf">fullrf</link>
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      </member>
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      <member>
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        <link linkend="schur">schur</link>
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      </member>
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    </simplelist>
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  </refsection>
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  <refsection>
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    <title> Fun��o Usada </title>
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    <para>
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      <literal>pbig</literal> � baseada na forma ordenada de Schur (fun��o
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      do Scilab <literal>schur</literal>).
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    </para>
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  </refsection>
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</refentry>