File: hypermatrices.xml

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<?xml version="1.0" encoding="UTF-8"?>
<!--
 * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab
 * Copyright (C) 2007-2008 - INRIA
 *
 * This file must be used under the terms of the CeCILL.
 * This source file is licensed as described in the file COPYING, which
 * you should have received as part of this distribution.  The terms
 * are also available at
 * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt
 *
 -->
<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="hypermatrices">
  <info>
    <pubdate>$LastChangedDate$</pubdate>
  </info>
  <refnamediv>
    <refname>hypermatrices</refname>
    <refpurpose> Scilab object, N dimensional matrices in Scilab</refpurpose>
  </refnamediv>
  <refsection>
    <title>Description</title>
    <para>
    Hypermatrix type allows to manipulate multidimensional arrays</para>
    <para>
    They can be defined by extension of 2D matrices as follows
    a=[1 2;3 4];a(:,:,2)=rand(2,2)</para>
    <para>
    or directly using <literal>hypermat</literal> function</para>
    <para>
    Entries  can be real or complex numbers, polynomials,
    rationals, strings, booleans.</para>
    <para>
    Hypermatrices are <literal>mlists</literal>:
    <literal>mlist(['hm','dims','entries'],sz,v)</literal> where <literal>sz</literal> is the row
    vector of dimensions and <literal>v</literal> the column vector of entries (first
      dimension are stored first)</para>
    <para>NOTES: The number of dimension of hypermatrices with right-most sizes equal to
      1 are automatically reduced. An hypermatrix with only two dimensions is
      automatically changed to a regular matrix (type 1).</para>
  </refsection>
  <refsection>
    <title>Examples</title>
    <programlisting role="example"><![CDATA[ 
a(1,1,1,1:2)=[1 2]
a=[1 2;3 4];a(:,:,2)=rand(2,2)
a(1,1,:)

size(a)

a(:,:,1) //dimensionnality reduction
type(a(:,:,1))

[a a]
 ]]></programlisting>
  </refsection>
  <refsection>
    <title>See Also</title>
    <simplelist type="inline">
      <member>
        <link linkend="hypermat">hypermat</link>
      </member>
      <member>
        <link linkend="zeros">zeros</link>
      </member>
      <member>
        <link linkend="ones">ones</link>
      </member>
      <member>
        <link linkend="grand">grand</link>
      </member>
      <member>
        <link linkend="matrix">matrix</link>
      </member>
    </simplelist>
  </refsection>
</refentry>