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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/pencil/lyap.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="lyap" xml:lang="en">
 
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  <refnamediv>
 
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    <refname>lyap</refname>
 
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    <refpurpose>equa��o de Lyapunov</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>[X]=lyap(A,C,'c')
 
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      [X]=lyap(A,C,'d')
 
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    </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, C</term>
 
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        <listitem>
 
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          <para>
 
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            matrizes quadradas de reais, <literal>C</literal> deve ser
 
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            sim�trica
 
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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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      <literal>X= lyap(A,C,flag)</literal> resolve as equa��es matriciais
 
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      de tempo cont�nuo ou de tempo discreto de Lyapunov:
 
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    </para>
 
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    <programlisting role=""><![CDATA[ 
 
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A'*X + X*A = C       ( flag='c' )
 
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A'*X*A - X = C       ( flag='d' )
 
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 ]]></programlisting>
 
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    <para>Perceba que existe uma �nica solu��o se e s� se um autovalor de
 
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      <literal>A</literal> n�o � um autovalor de <literal>-A</literal>
 
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      (<literal>flag='c'</literal>) ou 1 sobre um autovalor de
 
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      <literal>A</literal> (<literal>flag='d'</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=rand(4,4);C=rand(A);C=C+C';
 
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X=lyap(A,C,'c');
 
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A'*X + X*A -C
 
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X=lyap(A,C,'d');
 
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A'*X*A - X -C
 
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 ]]></programlisting>
 
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  </refsection>
 
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  <refsection role="see also">
 
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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="sylv">sylv</link>
 
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      </member>
 
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      <member>
 
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        <link linkend="ctr_gram">ctr_gram</link>
 
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      </member>
 
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      <member>
 
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        <link linkend="obs_gram">obs_gram</link>
 
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      </member>
 
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    </simplelist>
 
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  </refsection>
 
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</refentry>