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<!DOCTYPE MAN SYSTEM "../../manrev.dtd">
<MAN>
  <LANGUAGE>fr</LANGUAGE>
  <TITLE>pdivg  </TITLE>
  <TYPE>Scilab Function  </TYPE>
  <DATE>April 1993  </DATE>
  <SHORT_DESCRIPTION name="pdiv"> division de polynômes  </SHORT_DESCRIPTION>
  <CALLING_SEQUENCE>
  <CALLING_SEQUENCE_ITEM>[R,Q]=pdiv(P1,P2)  </CALLING_SEQUENCE_ITEM>
  <CALLING_SEQUENCE_ITEM>[Q]=pdiv(P1,P2)  </CALLING_SEQUENCE_ITEM>
  </CALLING_SEQUENCE>
  <PARAM>
 <PARAM_INDENT>
  <PARAM_ITEM>
  <PARAM_NAME>P1  </PARAM_NAME>
  <PARAM_DESCRIPTION>
  <SP>
    : matrice de polynômes
</SP>
  </PARAM_DESCRIPTION> 
  </PARAM_ITEM>
  <PARAM_ITEM>
  <PARAM_NAME>P2  </PARAM_NAME>
  <PARAM_DESCRIPTION>
  <SP>
    : polynôme ou matrice de polynômes
</SP>
  </PARAM_DESCRIPTION> 
  </PARAM_ITEM>
  <PARAM_ITEM>
  <PARAM_NAME>R,Q  </PARAM_NAME>
  <PARAM_DESCRIPTION>
  <SP>
    : deux matrices de polynômes
</SP>
  </PARAM_DESCRIPTION> 
  </PARAM_ITEM>
 </PARAM_INDENT>
  </PARAM>
  <DESCRIPTION>
  <P>
    Division euclidienne élément par élément de la matrice de polynômes <VERB>P1</VERB>
    par le polynôme <VERB>P2</VERB> ou par la matrice de polynômes <VERB>P2</VERB>.
    <VERB>Rij</VERB> est la matrice des restes, <VERB>Qij</VERB> est la matrice
    des quotients et <VERB>P1ij = Qij*P2 + Qij</VERB> ou <VERB>P1ij = Qij*P2ij + Qij</VERB>.
  </P>
  </DESCRIPTION>
  <EXAMPLE><![CDATA[
x=poly(0,'x');
p1=(1+x^2)*(1-x);p2=1-x;
[r,q]=pdiv(p1,p2)
p2*q-p1
p2=1+x;
[r,q]=pdiv(p1,p2)
p2*q+r-p1
 ]]></EXAMPLE>
  <SEE_ALSO>
    <SEE_ALSO_ITEM> <LINK>ldiv</LINK> </SEE_ALSO_ITEM>     <SEE_ALSO_ITEM> <LINK>gcd</LINK> </SEE_ALSO_ITEM>
  </SEE_ALSO>
</MAN>
