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<!DOCTYPE MAN SYSTEM "../../manrev.dtd">
<MAN>
  <LANGUAGE>fr</LANGUAGE>
  <TITLE>colcomp  </TITLE>
  <TYPE>Scilab Function  </TYPE>
  <DATE>April 1993  </DATE>
  <SHORT_DESCRIPTION name="kernel"> noyau  </SHORT_DESCRIPTION>
  <CALLING_SEQUENCE>
  <CALLING_SEQUENCE_ITEM>W=kernel(A [,tol,[,flag])  </CALLING_SEQUENCE_ITEM>
  </CALLING_SEQUENCE>
  <PARAM>
 <PARAM_INDENT>
  <PARAM_ITEM>
  <PARAM_NAME>A  </PARAM_NAME>
  <PARAM_DESCRIPTION>
  <SP>
    : matrice réelle ou complexe (pleine ou creuse)
</SP>
  </PARAM_DESCRIPTION> 
  </PARAM_ITEM>
  <PARAM_ITEM>
  <PARAM_NAME>flag  </PARAM_NAME>
  <PARAM_DESCRIPTION>
  <SP>
    : chaîne de caractères
</SP>
  </PARAM_DESCRIPTION> 
  </PARAM_ITEM>
  <PARAM_ITEM>
  <PARAM_NAME>tol  </PARAM_NAME>
  <PARAM_DESCRIPTION>
  <SP>
    : nombre réel
</SP>
  </PARAM_DESCRIPTION> 
  </PARAM_ITEM>
  <PARAM_ITEM>
  <PARAM_NAME>W  </PARAM_NAME>
  <PARAM_DESCRIPTION>
  <SP>
    : matrice régulière
</SP>
  </PARAM_DESCRIPTION> 
  </PARAM_ITEM>
 </PARAM_INDENT>
  </PARAM>
  <DESCRIPTION>
  <P>
    <VERB>W=kernel(A)</VERB> calcule le noyau de <VERB>A</VERB>. Les colonnes de <VERB>W</VERB> forment une base du noyau de <VERB>A</VERB>. Si A est régulière, alors W=[].
  </P>
  <P>
    <VERB>flag</VERB> et <VERB>tol</VERB> sont des paramètres optionnels : <VERB>flag = &apos;qr&apos;</VERB> 
    or <VERB>&apos;svd&apos;</VERB> (<VERB>&apos;svd&apos;</VERB> par défaut).
  </P>
  <P>
    <VERB>tol</VERB> = paramètre de tolérance (de l&apos;ordre de <VERB>%eps</VERB> par défaut).
  </P>
  </DESCRIPTION>
  <EXAMPLE><![CDATA[
A=rand(3,1)*rand(1,3);
A*kernel(A)
A=sparse(A);
clean(A*kernel(A))
 ]]></EXAMPLE>
  <SEE_ALSO>
    <SEE_ALSO_ITEM> <LINK>colcomp</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>linsolve</LINK> </SEE_ALSO_ITEM>
  </SEE_ALSO>
  <AUTHOR>F.D.;   </AUTHOR>
</MAN>
