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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
changed configure.in to build scilab's own malloc.o, closes: #255869

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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>fr</LANGUAGE>
 
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  <TITLE>colcomp  </TITLE>
 
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  <TYPE>Scilab Function  </TYPE>
 
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  <DATE>April 1993  </DATE>
 
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  <SHORT_DESCRIPTION name="colcomp"> compression de colonnes, noyau  </SHORT_DESCRIPTION>
 
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  <CALLING_SEQUENCE>
 
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  <CALLING_SEQUENCE_ITEM>[W,rk]=colcomp(A [,flag] [,tol])  </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>A  </PARAM_NAME>
 
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  <PARAM_DESCRIPTION>
 
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  <SP>
 
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    : matrice r�elle ou complexe
 
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</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>flag  </PARAM_NAME>
 
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  <PARAM_DESCRIPTION>
 
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  <SP>
 
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    : cha�ne de caract�res
 
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</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>tol  </PARAM_NAME>
 
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  <PARAM_DESCRIPTION>
 
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  <SP>
 
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    : nombre r�el
 
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</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>W  </PARAM_NAME>
 
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  <PARAM_DESCRIPTION>
 
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  <SP>
 
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    : matrice carr� r�guli�re (matrice de changement de base)
 
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</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>rk  </PARAM_NAME>
 
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  <PARAM_DESCRIPTION>
 
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  <SP>
 
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    : entier (rang de&quot;<VERB>A</VERB>)
 
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</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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    Compression des colonnes de <VERB>A</VERB> : <VERB>Ac = A*W</VERB> est � colonnes compress�es, c&apos;est � dire
 
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  </P>
 
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  <P>
 
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    <VERB>Ac=[0,Af]</VERB> et <VERB>Af</VERB> est de rang maximal
 
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    rank(<VERB>Af</VERB>) = rank(<VERB>A</VERB>) = <VERB>rk</VERB>.
 
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  </P>
 
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  <P>
 
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    <VERB>flag</VERB> et <VERB>tol</VERB> sont des param�tres optionnels : <VERB>flag = &apos;qr&apos;</VERB> 
 
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    ou <VERB>&apos;svd&apos;</VERB> (<VERB>&apos;svd&apos;</VERB> par d�faut).
 
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  </P>
 
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  <P>
 
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    <VERB>tol</VERB> = param�tre de tol�rance (de l&apos;ordre de <VERB>%eps</VERB> par d�faut).
 
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  </P>
 
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  <P>
 
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    Les <VERB>ma-rk</VERB> premi�res colonnes de <VERB>W</VERB> forment une base du noyau de <VERB>A</VERB> quand <VERB>size(A)=[na,ma]</VERB>.
 
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  </P>
 
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  </DESCRIPTION>
 
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  <EXAMPLE><![CDATA[
 
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A=rand(5,2)*rand(2,5);
 
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[X,r]=colcomp(A);
 
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norm(A*X(:,1:$-r),1)
 
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 ]]></EXAMPLE>
 
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  <SEE_ALSO>
 
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    <SEE_ALSO_ITEM> <LINK>rowcomp</LINK> </SEE_ALSO_ITEM>     <SEE_ALSO_ITEM> <LINK>fullrf</LINK> </SEE_ALSO_ITEM>     <SEE_ALSO_ITEM> <LINK>fullrfk</LINK> </SEE_ALSO_ITEM>     <SEE_ALSO_ITEM> <LINK>kernel</LINK> </SEE_ALSO_ITEM>
 
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  </SEE_ALSO>
 
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  <AUTHOR>F.D.;   </AUTHOR>
 
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</MAN>