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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 - Serge STEER
*
* 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="coeff">
<refnamediv>
<refname>coeff</refname>
<refpurpose>coefficients of matrix polynomial</refpurpose>
</refnamediv>
<refsynopsisdiv>
<title>Calling Sequence</title>
<synopsis>[C]=coeff(Mp [,v])</synopsis>
</refsynopsisdiv>
<refsection>
<title>Arguments</title>
<variablelist>
<varlistentry>
<term>Mp</term>
<listitem>
<para>polynomial matrix</para>
</listitem>
</varlistentry>
<varlistentry>
<term>v</term>
<listitem>
<para>integer (row or column) vector of selected degrees</para>
</listitem>
</varlistentry>
<varlistentry>
<term>C</term>
<listitem>
<para>big matrix of the coefficients</para>
</listitem>
</varlistentry>
</variablelist>
</refsection>
<refsection>
<title>Description</title>
<para>
<literal>C=coeff(Mp)</literal>
returns in a big matrix <literal>C</literal> the coefficients of the
polynomial matrix <literal>Mp</literal> . <literal>C</literal> is partitioned
as <literal>C=[C0,C1,...,Ck]</literal>
where the <literal>Ci</literal> are arranged in increasing order
<literal>k = max(degree(Mp))</literal>
</para>
<para>
<literal>C=coeff(Mp,v)</literal> returns the matrix of coefficients with
degree in <literal>v</literal> . (<literal>v</literal> is a row or column vector).
</para>
</refsection>
<refsection>
<title>Examples</title>
<programlisting role="example"><![CDATA[
s=poly(0,'s');
w=s*rand(10,10);
determ(w)
coeff(w,1)
r = poly([0 -1+%i -1-%i],'s',"roots");
coeff(r)
r = poly([-1-%i -1+2*%i 0],'s',"roots");
coeff(r)
]]></programlisting>
</refsection>
<refsection role="see also">
<title>See Also</title>
<simplelist type="inline">
<member>
<link linkend="poly">poly</link>
</member>
<member>
<link linkend="degree">degree</link>
</member>
<member>
<link linkend="inv_coeff">inv_coeff</link>
</member>
</simplelist>
</refsection>
</refentry>
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