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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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modules/linear_algebra/help/pt_BR/eigen/projspec.xml
 
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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:ns4="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="projspec" xml:lang="en">
 
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  <refnamediv>
 
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    <refname>projspec</refname>
 
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    <refpurpose>operadores espectrais</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>[S,P,D,i]=projspec(A)</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</para>
 
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        </listitem>
 
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      </varlistentry>
 
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      <varlistentry>
 
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        <term>S, P, D</term>
 
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        <listitem>
 
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          <para>matrizes quadradas </para>
 
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        </listitem>
 
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      </varlistentry>
 
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      <varlistentry>
 
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        <term>i</term>
 
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        <listitem>
 
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          <para>inteiro (�ndice do autovalor zero de
 
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            <literal>A</literal>).
 
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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>Descri��o</title>
 
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    <para>
 
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      Caracter�sticas espectrais de <literal>A</literal> em 0.
 
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    </para>
 
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    <para>
 
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      <literal>S</literal> = resolvente reduzido em 0
 
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      (<literal>S</literal> = -Inverso_de_Drazin(<literal>A</literal>)).
 
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    </para>
 
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    <para>
 
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      <literal>P</literal> = proje��o espectral em 0.
 
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    </para>
 
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    <para>
 
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      <literal>D</literal> = operador nilpotente em 0.
 
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    </para>
 
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    <para>
 
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      <literal>index</literal> = �ndice do autovalor 0.
 
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    </para>
 
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    <para>
 
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      Tem-se <literal>(s*eye()-A)^(-1) = D^(i-1)/s^i +... + D/s^2 + P/s -
 
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        S - s*S^2 -...
 
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      </literal>
 
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      ao redor da singularidade s=0.
 
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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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deff('j=jdrn(n)','j=zeros(n,n);for k=1:n-1;j(k,k+1)=1;end')
 
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A=sysdiag(jdrn(3),jdrn(2),rand(2,2));X=rand(7,7);
 
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A=X*A*inv(X);
 
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[S,P,D,index]=projspec(A);
 
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index   //tamanho do bloco J
 
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trace(P)  //soma das dimens�es dos blocos J
 
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A*S-(eye()-P)
 
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norm(D^index,1)
 
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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="coff">coff</link>
 
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      </member>
 
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    </simplelist>
 
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  </refsection>
 
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</refentry>