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<?xml version="1.0" encoding="ISO-8859-1"?>
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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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* 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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<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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<refname>pbig</refname>
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<refpurpose>autoproje��o</refpurpose>
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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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<title> Par�metros </title>
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<para>matriz quadrada de reais </para>
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<para>n�mero real </para>
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string (<literal>'c'</literal> ou
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<literal>'d'</literal>)
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<para>matrizes de reais</para>
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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>= <literal>thres</literal> (<literal>flag='c'</literal>) ou com
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magnitude >= <literal>thres</literal>
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(<literal>flag='d'</literal>).
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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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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 >= <literal>thres</literal>.
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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 >= <literal>thres</literal>.
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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 < <literal>thres</literal>.
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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 < <literal>thres</literal>.
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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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[Q1,M1]=fullrf(eye()-Q*M);
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<title> Ver Tamb�m </title>
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<simplelist type="inline">
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<link linkend="psmall">psmall</link>
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<link linkend="projspec">projspec</link>
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<link linkend="fullrf">fullrf</link>
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<link linkend="schur">schur</link>
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<title> Fun��o Usada </title>
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<literal>pbig</literal> � baseada na forma ordenada de Schur (fun��o
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do Scilab <literal>schur</literal>).