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<?xml version="1.0" encoding="UTF-8"?>
<!--
* Scilab ( http://www.scilab.org/ ) - This file is part of Scilab
* Copyright (C) 2006-2008 - INRIA
*
* This file must be used under the terms of the CeCILL.
* This source file is licensed as described in the file COPYING, which
* you should have received as part of this distribution. The terms
* are also available at
* http://www.cecill.info/licences/Licence_CeCILL_V2.1-en.txt
*
-->
<refentry xmlns="http://docbook.org/ns/docbook" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:svg="http://www.w3.org/2000/svg" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:db="http://docbook.org/ns/docbook" xmlns:scilab="http://www.scilab.org" xml:lang="en" xml:id="pdiv">
<refnamediv>
<refname>pdiv</refname>
<refpurpose>polynomial division</refpurpose>
</refnamediv>
<refsynopsisdiv>
<title>Calling Sequence</title>
<synopsis>[R,Q]=pdiv(P1,P2)
[Q]=pdiv(P1,P2)
</synopsis>
</refsynopsisdiv>
<refsection>
<title>Arguments</title>
<variablelist>
<varlistentry>
<term>P1</term>
<listitem>
<para>polynomial matrix</para>
</listitem>
</varlistentry>
<varlistentry>
<term>P2</term>
<listitem>
<para>polynomial or polynomial matrix</para>
</listitem>
</varlistentry>
<varlistentry>
<term>R,Q</term>
<listitem>
<para>two polynomial matrices</para>
</listitem>
</varlistentry>
</variablelist>
</refsection>
<refsection>
<title>Description</title>
<para>
Element-wise euclidan division of the polynomial matrix <literal>P1</literal>
by the polynomial <literal>P2</literal> or by the polynomial matrix <literal>P2</literal>.
<literal>Rij</literal> is the matrix of remainders, <literal>Qij</literal> is the matrix
of quotients and <literal>P1ij = Qij*P2 + Rij</literal> or <literal>P1ij = Qij*P2ij + Rij</literal>.
</para>
</refsection>
<refsection>
<title>Examples</title>
<programlisting role="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
]]></programlisting>
</refsection>
<refsection role="see also">
<title>See Also</title>
<simplelist type="inline">
<member>
<link linkend="ldiv">ldiv</link>
</member>
<member>
<link linkend="gcd">gcd</link>
</member>
</simplelist>
</refsection>
</refentry>
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