<?xml version="1.0" encoding="ISO-8859-1" standalone="no"?> 
<!DOCTYPE MAN SYSTEM "../../manrev.dtd">
<MAN>
  <LANGUAGE>fr</LANGUAGE>
  <TITLE>lusolve  </TITLE>
  <TYPE>Scilab Function  </TYPE>
  <DATE>April 1993  </DATE>
  <SHORT_DESCRIPTION name="lusolve"> solveur de système linéaire creux  </SHORT_DESCRIPTION>
  <CALLING_SEQUENCE>
    <CALLING_SEQUENCE_ITEM>lusolve(hand,b)  </CALLING_SEQUENCE_ITEM>
    <CALLING_SEQUENCE_ITEM>lusolve(A,b)  </CALLING_SEQUENCE_ITEM>
  </CALLING_SEQUENCE>
  <PARAM>
    <PARAM_INDENT>
      <PARAM_ITEM>
	<PARAM_NAME>b  </PARAM_NAME>
	<PARAM_DESCRIPTION>
	  <SP>
	    : matrice réelle pleine
	  </SP>
	</PARAM_DESCRIPTION> 
      </PARAM_ITEM>
      <PARAM_ITEM>
	<PARAM_NAME>A  </PARAM_NAME>
	<PARAM_DESCRIPTION>
	  <SP>
	    : matrice réelle carrée creuse inversible
	  </SP>
	</PARAM_DESCRIPTION> 
      </PARAM_ITEM>
      <PARAM_ITEM>
	<PARAM_NAME>hand  </PARAM_NAME>
	<PARAM_DESCRIPTION>
	  <SP>
	    : pointeur vers des facteurs L,U creux déjà calculés (sortie de lufact)
	  </SP>
	</PARAM_DESCRIPTION> 
      </PARAM_ITEM>
    </PARAM_INDENT>
  </PARAM>
  <DESCRIPTION>
    <P>
      <VERB>x=lusolve(hand,b)</VERB> résout le système linéaire
      <VERB>A*x = b</VERB>, où <VERB>hand</VERB> est obtenu par un appel
      préliminaire à <VERB>lufact</VERB> :<VERB>[hand,rk]=lufact(A)</VERB>.
    </P>
    <P>
    <VERB>x=lusolve(A,b)</VERB> résout le système linéaire creux
    <VERB>A*x = b</VERB>
    </P>
  </DESCRIPTION>
  <EXAMPLE><![CDATA[
    non_zeros=[1,2,3,4];rows_cols=[1,1;2,2;3,3;4,4];
    sp=sparse(rows_cols,non_zeros);
    [h,rk]=lufact(sp);x=lusolve(h,[1;1;1;1]);ludel(h)
    rk,sp*x


    non_zeros=[1,2,3,4];rows_cols=[1,1;2,2;3,3;4,4];
    sp=sparse(rows_cols,non_zeros);
    x=lusolve(sp,-ones(4,1));
    sp*x

    ]]></EXAMPLE>
  <SEE_ALSO>
    <SEE_ALSO_ITEM> <LINK>sparse</LINK> </SEE_ALSO_ITEM> 
    <SEE_ALSO_ITEM> <LINK>lufact</LINK> </SEE_ALSO_ITEM> 
    <SEE_ALSO_ITEM> <LINK>slash</LINK> </SEE_ALSO_ITEM> 
    <SEE_ALSO_ITEM> <LINK>backslash</LINK> </SEE_ALSO_ITEM>
  </SEE_ALSO>
</MAN>
