File: hermit.xml

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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" version="5.0-subset Scilab" xml:lang="fr" xml:id="hermit">
  <info>
    <pubdate>$LastChangedDate$</pubdate>
  </info>
  <refnamediv>
    <refname>hermit</refname>
    <refpurpose> forme d'Hermite  </refpurpose>
  </refnamediv>
  <refsynopsisdiv>
    <title>Séquence d'appel</title>
    <synopsis>[Ar,U]=hermit(A)</synopsis>
  </refsynopsisdiv>
  <refsection>
    <title>Paramètres</title>
    <variablelist>
      <varlistentry>
        <term>A  </term>
        <listitem>
          <para>matrice de polynômes
</para>
        </listitem>
      </varlistentry>
      <varlistentry>
        <term>Ar  </term>
        <listitem>
          <para>matrice triangulaire de polynômes
</para>
        </listitem>
      </varlistentry>
      <varlistentry>
        <term>U  </term>
        <listitem>
          <para>matrice unimodulaire de polynômes
</para>
        </listitem>
      </varlistentry>
    </variablelist>
  </refsection>
  <refsection>
    <title>Description</title>
    <para>
    Forme d'Hermite : <literal>U</literal> est une matrice unimodulaire telle que <literal>A*U</literal> est sous la
    forme d'Hermite triangulaire :
  </para>
    <para>
    La variable de sortie est <literal>Ar=A*U</literal>.
  </para>
    <para>
    Attention : version expérimentale
  </para>
  </refsection>
  <refsection>
    <title>Exemples</title>
    <programlisting role="example"><![CDATA[ 
s=poly(0,'s');
p=[s, s*(s+1)^2, 2*s^2+s^3];
[Ar,U]=hermit(p'*p);
clean(p'*p*U), det(U)
 ]]></programlisting>
  </refsection>
  <refsection>
    <title>Voir Aussi</title>
    <simplelist type="inline">
      <member>
        <link linkend="hrmt">hrmt</link>
      </member>
      <member>
        <link linkend="htrianr">htrianr</link>
      </member>
    </simplelist>
  </refsection>
</refentry>