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Viewing changes to modules/polynomials/help/en_US/htrianr.xml

  • Committer: Package Import Robot
  • Author(s): Sylvestre Ledru
  • Date: 2012-08-30 14:42:38 UTC
  • mfrom: (1.4.7)
  • Revision ID: package-import@ubuntu.com-20120830144238-c1y2og7dbm7m9nig
Tags: 5.4.0-beta-3-1~exp1
* New upstream release
* Update the scirenderer dep
* Get ride of libjhdf5-java dependency

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modules/polynomials/help/en_US/htrianr.xml
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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="htrianr">
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  <refnamediv>
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    <refname>htrianr</refname>
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    <refpurpose> triangularization of polynomial matrix</refpurpose>
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  </refnamediv>
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  <refsynopsisdiv>
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    <title>Calling Sequence</title>
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    <synopsis>[Ar,U,rk]=htrianr(A)</synopsis>
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  </refsynopsisdiv>
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  <refsection>
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    <title>Arguments</title>
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    <variablelist>
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      <varlistentry>
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        <term>A</term>
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        <listitem>
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          <para>polynomial matrix</para>
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        </listitem>
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      </varlistentry>
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      <varlistentry>
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        <term>Ar</term>
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        <listitem>
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          <para>polynomial matrix</para>
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        </listitem>
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      </varlistentry>
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      <varlistentry>
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        <term>U</term>
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        <listitem>
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          <para>unimodular polynomial matrix</para>
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        </listitem>
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      </varlistentry>
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      <varlistentry>
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        <term>rk</term>
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        <listitem>
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          <para>
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            integer, normal rank of <literal>A</literal>
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          </para>
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        </listitem>
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      </varlistentry>
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    </variablelist>
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  </refsection>
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  <refsection>
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    <title>Description</title>
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    <para>
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      triangularization of polynomial matrix <literal>A</literal>.
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    </para>
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    <para>
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      <literal>A</literal> is <literal>[m,n]</literal> ,   <literal>m &lt;= n</literal>.
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    </para>
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    <para>
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      <literal>Ar=A*U</literal>
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    </para>
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    <para>
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      Warning: there is an elimination of "small" terms (see function code).
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    </para>
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  </refsection>
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  <refsection>
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    <title>Examples</title>
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    <programlisting role="example"><![CDATA[ 
 
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    <refnamediv>
 
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        <refname>htrianr</refname>
 
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        <refpurpose> triangularization of polynomial matrix</refpurpose>
 
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    </refnamediv>
 
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    <refsynopsisdiv>
 
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        <title>Calling Sequence</title>
 
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        <synopsis>[Ar,U,rk]=htrianr(A)</synopsis>
 
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    </refsynopsisdiv>
 
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    <refsection>
 
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        <title>Arguments</title>
 
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        <variablelist>
 
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            <varlistentry>
 
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                <term>A</term>
 
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                <listitem>
 
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                    <para>polynomial matrix</para>
 
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                </listitem>
 
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            </varlistentry>
 
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            <varlistentry>
 
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                <term>Ar</term>
 
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                <listitem>
 
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                    <para>polynomial matrix</para>
 
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                </listitem>
 
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            </varlistentry>
 
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            <varlistentry>
 
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                <term>U</term>
 
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                <listitem>
 
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                    <para>unimodular polynomial matrix</para>
 
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                </listitem>
 
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            </varlistentry>
 
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            <varlistentry>
 
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                <term>rk</term>
 
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                <listitem>
 
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                    <para>
 
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                        integer, normal rank of <literal>A</literal>
 
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                    </para>
 
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                </listitem>
 
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            </varlistentry>
 
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        </variablelist>
 
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    </refsection>
 
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    <refsection>
 
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        <title>Description</title>
 
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        <para>
 
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            triangularization of polynomial matrix <literal>A</literal>.
 
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        </para>
 
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        <para>
 
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            <literal>A</literal> is <literal>[m,n]</literal> ,   <literal>m &lt;= n</literal>.
 
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        </para>
 
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        <para>
 
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            <literal>Ar=A*U</literal>
 
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        </para>
 
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        <para>
 
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            Warning: there is an elimination of "small" terms (see function code).
 
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        </para>
 
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    </refsection>
 
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    <refsection>
 
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        <title>Examples</title>
 
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        <programlisting role="example"><![CDATA[ 
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x=poly(0,'x');
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M=[x;x^2;2+x^3]*[1,x-2,x^4];
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[Mu,U,rk]=htrianr(M)
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det(U)
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M*U(:,1:2)
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 ]]></programlisting>
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  </refsection>
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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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      <member>
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        <link linkend="hrmt">hrmt</link>
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      </member>
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      <member>
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        <link linkend="colcompr">colcompr</link>
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      </member>
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    </simplelist>
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  </refsection>
 
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    </refsection>
 
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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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            <member>
 
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                <link linkend="hrmt">hrmt</link>
 
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            </member>
 
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            <member>
 
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                <link linkend="colcompr">colcompr</link>
 
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            </member>
 
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        </simplelist>
 
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    </refsection>
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</refentry>