File: toeplitz.xml

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<?xml version="1.0" encoding="UTF-8"?>
<refentry version="5.0-subset Scilab" xml:id="toeplitz" xml:lang="fr"
          xmlns="http://docbook.org/ns/docbook"
          xmlns:xlink="http://www.w3.org/1999/xlink"
          xmlns:svg="http://www.w3.org/2000/svg"
          xmlns:ns5="http://www.w3.org/1999/xhtml"
          xmlns:mml="http://www.w3.org/1998/Math/MathML"
          xmlns:db="http://docbook.org/ns/docbook">
  <info>
    <pubdate>$LastChangedDate$</pubdate>
  </info>

  <refnamediv>
    <refname>toeplitz</refname>

    <refpurpose>matrice de Toeplitz</refpurpose>
  </refnamediv>

  <refsynopsisdiv>
    <title>Séquence d'appel</title>

    <synopsis>A=toeplitz(c [,r])</synopsis>
  </refsynopsisdiv>

  <refsection>
    <title>Paramètres</title>

    <variablelist>
      <varlistentry>
        <term>a,c,r</term>

        <listitem>
          <para>matrice complexe, réelle, polynomiale ou de chaînes de
          caractères.</para>
        </listitem>
      </varlistentry>
    </variablelist>
  </refsection>

  <refsection>
    <title>Description</title>

    <para>Renvoie la matrice de Toeplitz dont la première ligne est
    <literal>r</literal> et la première colonne est <literal>c</literal>.
    <literal>c(1)</literal> doit être égal à <literal>r(1)</literal>.
    <literal>toeplitz(c)</literal> renvoie la matrice de Toeplitz
    symétrique.</para>
  </refsection>

  <refsection>
    <title>Exemples</title>

    <programlisting role="example"><![CDATA[ 
A=toeplitz(1:5);

T=toeplitz(1:5,1:2:7);T1=[1 3 5 7;2 1 3 5;3 2 1 3;4 3 2 1;5 4 3 2];
T-T1

s=poly(0,'s');
t=toeplitz([s,s+1,s^2,1-s]);
t1=[s,1+s,s*s,1-s;1+s,s,1+s,s*s;s*s,1+s,s,1+s;1-s,s*s,1+s,s]
t-t1

t=toeplitz(['1','2','3','4']);
t1=['1','2','3','4';'2','1','2','3';'3','2','1','2';'4','3','2','1']
 ]]></programlisting>
  </refsection>

  <refsection>
    <title>Voir Aussi</title>

    <simplelist type="inline">
      <member><link linkend="matrix">matrix</link></member>
    </simplelist>
  </refsection>
</refentry>