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  • Committer: Bazaar Package Importer
  • Author(s): Torsten Werner
  • Date: 2005-01-09 22:58:21 UTC
  • mfrom: (1.1.1 upstream)
  • Revision ID: james.westby@ubuntu.com-20050109225821-473xr8vhgugxxx5j
Tags: 3.0-12
http://bugs.debian.org/255869
changed configure.in to build scilab's own malloc.o, closes: #255869

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man/eng/linear/glever.xml
 
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<?xml version="1.0" encoding="ISO-8859-1" standalone="no"?>
 
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<!DOCTYPE MAN SYSTEM "../../manrev.dtd">
 
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<MAN>
 
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  <LANGUAGE>eng</LANGUAGE>
 
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  <TITLE>glever</TITLE>
 
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  <TYPE>Scilab Function</TYPE>
 
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  <DATE>April 1993</DATE>
 
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  <SHORT_DESCRIPTION name="glever"> inverse of matrix pencil</SHORT_DESCRIPTION>
 
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  <CALLING_SEQUENCE>
 
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    <CALLING_SEQUENCE_ITEM>[Bfs,Bis,chis]=glever(E,A [,s])  </CALLING_SEQUENCE_ITEM>
 
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  </CALLING_SEQUENCE>
 
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  <PARAM>
 
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    <PARAM_INDENT>
 
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      <PARAM_ITEM>
 
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        <PARAM_NAME>E, A</PARAM_NAME>
 
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        <PARAM_DESCRIPTION>
 
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          <SP>: two real square matrices of same dimensions</SP>
 
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        </PARAM_DESCRIPTION>
 
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      </PARAM_ITEM>
 
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      <PARAM_ITEM>
 
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        <PARAM_NAME>s</PARAM_NAME>
 
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        <PARAM_DESCRIPTION>
 
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          <SP>: character string (default value '<VERB>s</VERB>')</SP>
 
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        </PARAM_DESCRIPTION>
 
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      </PARAM_ITEM>
 
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      <PARAM_ITEM>
 
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        <PARAM_NAME>Bfs,Bis</PARAM_NAME>
 
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        <PARAM_DESCRIPTION>
 
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          <SP>: two polynomial matrices</SP>
 
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        </PARAM_DESCRIPTION>
 
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      </PARAM_ITEM>
 
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      <PARAM_ITEM>
 
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        <PARAM_NAME>chis</PARAM_NAME>
 
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        <PARAM_DESCRIPTION>
 
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          <SP>: polynomial</SP>
 
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        </PARAM_DESCRIPTION>
 
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      </PARAM_ITEM>
 
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    </PARAM_INDENT>
 
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  </PARAM>
 
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  <DESCRIPTION>
 
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    <P>
 
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    Computation of</P>
 
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    <P>
 
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    (s*E-A)^-1</P>
 
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    <P>
 
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     by generalized Leverrier's algorithm for a matrix pencil.</P>
 
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    <VERBATIM>
 
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<![CDATA[
 
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(s*E-A)^-1 = (Bfs/chis) - Bis.
 
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   ]]>
 
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    </VERBATIM>
 
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    <P><VERB>chis</VERB> = characteristic polynomial (up to a multiplicative constant).</P>
 
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    <P><VERB>Bfs</VERB>  = numerator polynomial matrix.</P>
 
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    <P><VERB>Bis</VERB>
 
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    = polynomial matrix ( - expansion of <VERB>(s*E-A)^-1</VERB> at infinity).</P>
 
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    <P>
 
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    Note the - sign before <VERB>Bis</VERB>.</P>
 
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  </DESCRIPTION>
 
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  <SECTION label="Caution">
 
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    <P>
 
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    This function uses <VERB>cleanp</VERB> to simplify <VERB>Bfs,Bis</VERB> and <VERB>chis</VERB>.</P>
 
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  </SECTION>
 
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  <EXAMPLE>
 
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<![CDATA[
 
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s=%s;F=[-1,s,0,0;0,-1,0,0;0,0,s-2,0;0,0,0,s-1];
 
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[Bfs,Bis,chis]=glever(F)
 
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inv(F)-((Bfs/chis) - Bis)
 
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 ]]>
 
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  </EXAMPLE>
 
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  <SEE_ALSO>
 
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    <SEE_ALSO_ITEM>
 
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      <LINK>rowshuff</LINK>
 
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    </SEE_ALSO_ITEM>
 
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    <SEE_ALSO_ITEM>
 
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      <LINK>det</LINK>
 
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    </SEE_ALSO_ITEM>
 
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    <SEE_ALSO_ITEM>
 
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      <LINK>invr</LINK>
 
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    </SEE_ALSO_ITEM>
 
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    <SEE_ALSO_ITEM>
 
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      <LINK>coffg</LINK>
 
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    </SEE_ALSO_ITEM>
 
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    <SEE_ALSO_ITEM>
 
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      <LINK>pencan</LINK>
 
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    </SEE_ALSO_ITEM>
 
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    <SEE_ALSO_ITEM>
 
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      <LINK>penlaur</LINK>
 
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    </SEE_ALSO_ITEM>
 
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  </SEE_ALSO>
 
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  <AUTHOR>F. D. (1988)  </AUTHOR>
 
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</MAN>