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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="detr">
<refnamediv>
<refname>detr</refname>
<refpurpose>polynomial determinant</refpurpose>
</refnamediv>
<refsynopsisdiv>
<title>Calling Sequence</title>
<synopsis>d=detr(h)</synopsis>
</refsynopsisdiv>
<refsection>
<title>Arguments</title>
<variablelist>
<varlistentry>
<term>h</term>
<listitem>
<para>double or polynomial or rational square matrix</para>
</listitem>
</varlistentry>
</variablelist>
</refsection>
<refsection>
<title>Description</title>
<para>
<literal>d=detr(h)</literal> returns the determinant <literal>d</literal> of the double
or polynomial or rational function matrix <literal>h</literal>.
Based on Leverrier's algorithm.
</para>
</refsection>
<refsection>
<title>Examples</title>
<programlisting role="example">
<![CDATA[
// Matrix of doubles
A = rand(5,5);
detr(A)
A = A+%i;
detr(A)
// Matrix of polynomials
x = poly(0, 'x')
A = [1+x 2 5; 3 4-x 3+x; x^2 1 x];
detr(A)
// Matrix of rationals
A = [1/x 2 3; 3 4/x 3/x; 1/x^2 1 1/x];
detr(A)
]]>
</programlisting>
</refsection>
<refsection role="see also">
<title>See Also</title>
<simplelist type="inline">
<member>
<link linkend="det">det</link>
</member>
<member>
<link linkend="determ">determ</link>
</member>
</simplelist>
</refsection>
</refentry>
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