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<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" version="5.0-subset Scilab" xml:lang="en" xml:id="determ">
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<refname>determ</refname>
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<refpurpose> determinant of polynomial matrix</refpurpose>
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<title>Calling Sequence</title>
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<synopsis>res=determ(W [,k])</synopsis>
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<title>Arguments</title>
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<para>real square polynomial matrix</para>
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<para>integer (upper bound for the degree of the determinant of W)</para>
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<title>Description</title>
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returns the determinant of a real polynomial matrix
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(computation made by FFT if W size is greater than 2*2).
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<literal>res=determ(W [,k])</literal><literal>k</literal> is an integer larger than the actual degree of the determinant
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of <literal>W</literal>.
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The default value of <literal>k</literal> is the smallest power of 2 which is larger
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than <literal>n*max(degree(W))</literal>.
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Method (Only if W size is greater than 2*2) : evaluate the determinant of <literal>W</literal> for the Fourier frequencies
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and apply inverse FFT to the coefficients of the determinant.
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<title>Examples</title>
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<programlisting role="example"><![CDATA[
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<refname>determ</refname>
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<refpurpose> determinant of polynomial matrix</refpurpose>
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<title>Calling Sequence</title>
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<synopsis>res=determ(W [,k])</synopsis>
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<title>Arguments</title>
28
<para>real square polynomial matrix</para>
34
<para>integer (upper bound for the degree of the determinant of W)</para>
40
<title>Description</title>
42
returns the determinant of a real polynomial matrix
43
(computation made by FFT if W size is greater than 2*2).
46
<literal>res=determ(W [,k])</literal><literal>k</literal> is an integer larger than the actual degree of the determinant
47
of <literal>W</literal>.
50
The default value of <literal>k</literal> is the smallest power of 2 which is larger
51
than <literal>n*max(degree(W))</literal>.
54
Method (Only if W size is greater than 2*2) : evaluate the determinant of <literal>W</literal> for the Fourier frequencies
55
and apply inverse FFT to the coefficients of the determinant.
59
<title>Examples</title>
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<programlisting role="example"><![CDATA[
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det(coeff(w,1))*s^10
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65
]]></programlisting>
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<refsection role="see also">
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<title>See Also</title>
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<simplelist type="inline">
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<link linkend="det">det</link>
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<link linkend="detr">detr</link>
77
<link linkend="coffg">coffg</link>
67
<refsection role="see also">
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<title>See Also</title>
69
<simplelist type="inline">
71
<link linkend="det">det</link>
74
<link linkend="detr">detr</link>
77
<link linkend="coffg">coffg</link>