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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="hrmt">
<refnamediv>
<refname>hrmt</refname>
<refpurpose>gcd of polynomials</refpurpose>
</refnamediv>
<refsynopsisdiv>
<title>Calling Sequence</title>
<synopsis>[pg,U]=hrmt(v)</synopsis>
</refsynopsisdiv>
<refsection>
<title>Arguments</title>
<variablelist>
<varlistentry>
<term>v</term>
<listitem>
<para>
row of polynomials i.e. <literal>1</literal>x<literal>k</literal> polynomial matrix
</para>
</listitem>
</varlistentry>
<varlistentry>
<term>pg</term>
<listitem>
<para>polynomial</para>
</listitem>
</varlistentry>
<varlistentry>
<term>U</term>
<listitem>
<para>unimodular matrix polynomial</para>
</listitem>
</varlistentry>
</variablelist>
</refsection>
<refsection>
<title>Description</title>
<para>
<literal>[pg,U]=hrmt(v)</literal> returns a unimodular matrix <literal>U</literal> and <literal>pg</literal> = gcd of row of
polynomials <literal>v</literal> such that <literal>v*U = [pg,0]</literal>.
</para>
</refsection>
<refsection>
<title>Examples</title>
<programlisting role="example"><![CDATA[
x=poly(0,'x');
v=[x*(x+1),x^2*(x+1),(x-2)*(x+1),(3*x^2+2)*(x+1)];
[pg,U]=hrmt(v);U=clean(U)
det(U)
]]></programlisting>
</refsection>
<refsection role="see also">
<title>See Also</title>
<simplelist type="inline">
<member>
<link linkend="gcd">gcd</link>
</member>
<member>
<link linkend="htrianr">htrianr</link>
</member>
</simplelist>
</refsection>
</refentry>
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