File: poly.xml

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<?xml version="1.0" encoding="ISO-8859-1"?>
<refentry version="5.0-subset Scilab" xml:id="poly" xml:lang="en"
          xmlns="http://docbook.org/ns/docbook"
          xmlns:xlink="http://www.w3.org/1999/xlink"
          xmlns:svg="http://www.w3.org/2000/svg"
          xmlns:ns3="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>poly</refname>

    <refpurpose>definio de polinmios</refpurpose>
  </refnamediv>

  <refsynopsisdiv>
    <title>Seqncia de Chamamento</title>

    <synopsis>p=poly(a,x, ["flag"])</synopsis>
  </refsynopsisdiv>

  <refsection>
    <title>Parmetros</title>

    <variablelist>
      <varlistentry>
        <term>a</term>

        <listitem>
          <para>matriz ou nmero real </para>
        </listitem>
      </varlistentry>

      <varlistentry>
        <term>x</term>

        <listitem>
          <para>String, o nome da varivel simblica. Se o string tiver mais
          de 4 caracteres, apenas os quatro primeiros sero levados em
          conta.</para>
        </listitem>
      </varlistentry>

      <varlistentry>
        <term>"flag"</term>

        <listitem>
          <para>string ("roots", "coeff"), valor padro  "roots".</para>
        </listitem>
      </varlistentry>
    </variablelist>
  </refsection>

  <refsection>
    <title>Descrio</title>

    <variablelist>
      <varlistentry>
        <term>Se a  uma matriz,</term>

        <listitem>
          <para><literal>p</literal>  o polinmio caracterstico, i.e.,
          <literal>determinant(x*eye()-a)</literal>, <literal>x</literal>
          sendo a varivel simblica.</para>
        </listitem>
      </varlistentry>

      <varlistentry>
        <term>Se v  um vetor,</term>

        <listitem>
          <itemizedlist>
            <listitem>
              <para><literal>poly(v,"x",["roots"])</literal>  o polinmio com
              entradas de <literal>v</literal> como razes e
              <literal>"x"</literal> como varivel formal (neste caso,
              <literal>roots</literal> e <literal>poly</literal> so funes
              inversas). Note que infinitas razes fornecem zero coeficientes
              de grau mais elevado.</para>
            </listitem>

            <listitem>
              <para><literal>poly(v,"x","coeff")</literal> cria o polinmio
              com smbolo <literal>"x"</literal> e com entradas de
              <literal>v</literal> como coeficientes (v(1)  o termo constante
              do polinmio). (aqui <literal>poly</literal> e
              <literal>coeff</literal> so funes inversas).</para>
            </listitem>
          </itemizedlist>
        </listitem>
      </varlistentry>
    </variablelist>

    <para><literal>s=poly(0,"s")</literal>  a fonte para definir polinmios
    com smbolo <literal>"s"</literal>.</para>
  </refsection>

  <refsection>
    <title>Exemplos</title>

    <programlisting role="example"><![CDATA[ 
s=poly(0,"s");p=1+s+2*s^2;
A=rand(2,2);poly(A,"x")
//fraes racionais
h=(1+2*%s)/poly(1:4,'s','c')
 ]]></programlisting>
  </refsection>

  <refsection>
    <title>See Also</title>

    <simplelist type="inline">
      <member><link linkend="coeff">coeff</link></member>

      <member><link linkend="roots">roots</link></member>

      <member><link linkend="varn">varn</link></member>

      <member><link linkend="horner">horner</link></member>

      <member><link linkend="derivat">derivat</link></member>

      <member><link linkend="matrices">matrices</link></member>

      <member><link linkend="rational">rational</link></member>
    </simplelist>
  </refsection>
</refentry>