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<?xml version="1.0" encoding="UTF-8"?>
<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="rational">
<refnamediv>
<refname>rational</refname>
<refpurpose>Scilab objects, rational in Scilab</refpurpose>
</refnamediv>
<refsection>
<title>Description</title>
<para>
A rational <literal>r</literal> is a quotient of two polynomials <literal>r=num/den</literal>.
The internal representation of a rational is a list.
<literal>r=tlist(['r','num','den','dt'],num,den,[])</literal> is the same as <literal>r=num/den</literal>.
A rational matrix can be defined with the usual syntax
e.g. <literal>[r11,r12;r21,r22]</literal> is a 2x2 matrix where <literal>rij</literal> are
1x1 rationals.
A rational matrix can also be defined as above as a list
<literal>rlist(num,den,[])</literal> with <literal>num</literal> and <literal>den</literal> polynomial matrices.
</para>
</refsection>
<refsection>
<title>Examples</title>
<programlisting role="example"><![CDATA[
s=poly(0,'s');
W=[1/s,1/(s+1)]
W'*W
Num=[s,s+2;1,s];Den=[s*s,s;s,s*s];
rlist(Num,Den,[])
H=Num./Den
syslin('c',Num,Den)
syslin('c',H)
[Num1,Den1]=simp(Num,Den)
]]></programlisting>
</refsection>
<refsection role="see also">
<title>See Also</title>
<simplelist type="inline">
<member>
<link linkend="poly">poly</link>
</member>
<member>
<link linkend="syslin">syslin</link>
</member>
<member>
<link linkend="simp">simp</link>
</member>
</simplelist>
</refsection>
</refentry>
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