<?xml version="1.0" encoding="UTF-8"?>
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 *
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 * pursuant to article 5.3.4 of the CeCILL v.2.1.
 * For more information, see the COPYING file which you should have received
 * along with this program.
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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" xmlns:scilab="http://www.scilab.org"
          xml:lang="en" xml:id="zp2tf">
    <refnamediv>
        <refname>zp2tf</refname>
        <refpurpose>Zero pole gain to transfer function</refpurpose>
    </refnamediv>
    <refsynopsisdiv>
        <title>Syntax</title>
        <synopsis>
            S = zp2tf(z, p, k)
            S = zp2tf(z, p, k, dt)
        </synopsis>
    </refsynopsisdiv>
    <refsection>
        <title>Arguments</title>
        <variablelist>

            <varlistentry>
                <term>z</term>
                <listitem>
                    <para>
                        a real or complex matrix, the ith column
                        contains the transmission zeros relative to
                        the ith output. If some zeros are complex,
                        they must appear in complex conjugate pairs.

                    </para>
                    <para>
                        If the number of zeros relative to the ith
                        output is less than the max number of zeros for
                        each output, the ith column must be padded with
                        %inf values.
                    </para>
                </listitem>
            </varlistentry>
            <varlistentry>
                <term>p</term>
                <listitem>
                    <para>
                        a real or complex vector, the poles of the
                        system. If some poles are complex, they must
                        appear in complex conjugate pairs.
                    </para>
                    <para>
                        If the number of poles relative to the ith
                        output is less than the max number of poles for
                        each output, the ith column must be padded with
                        %inf values.
                    </para>

                </listitem>
            </varlistentry>
            <varlistentry>
                <term>k</term>
                <listitem>
                    <para>
                        a real scalar or a real vector, the ith
                        element contains the gain relative to the ith
                        output.
                    </para>
                </listitem>
            </varlistentry>
            <varlistentry>
                <term>dom</term>
                <listitem>
                    <para>
                        a character string with possible values "c" or
                        "d", [] or a real positive scalar, the system
                        time domain (see <link
                        linkend="syslin">syslin</link>).
                    </para>
                </listitem>
            </varlistentry>
            <varlistentry>
                <term>S</term>
                <listitem>
                    <para>
                        a single input transfer function.
                    </para>
                </listitem>
            </varlistentry>

        </variablelist>
    </refsection>
    <refsection>
        <title>Description</title>
        <para>
            Converts a  zero pole gain representation to rational transfer function
        </para>

    </refsection>
    <refsection>
        <title>Examples</title>
        <programlisting role="example"><![CDATA[
Z=[2;1];P=[0;-3-%i;-3+%i];K=2.5;
S=zp2tf(Z,P,K,"c")
roots(S.num)
 ]]></programlisting>
    </refsection>
    <refsection role="see also">
        <title>See Also</title>
        <simplelist type="inline">
            <member>
                <link linkend="zp2ss">zp2ss</link>
            </member>
        </simplelist>
    </refsection>
    <refsection role="history">
        <title>History</title>
        <revhistory>
            <revision>
                <revnumber>6.0</revnumber>
                <revdescription>
                    <para>Function added.</para>
                </revdescription>
            </revision>
        </revhistory>
    </refsection>

</refentry>
