<?xml version="1.0" encoding="UTF-8"?>
<!--
 * Scilab ( https://www.scilab.org/ ) - This file is part of Scilab
 * Copyright (C) 2008 - INRIA
 *
 * Copyright (C) 2012 - 2016 - Scilab Enterprises
 *
 * This file is hereby licensed under the terms of the GNU GPL v2.0,
 * pursuant to article 5.3.4 of the CeCILL v.2.1.
 * This file was originally licensed under the terms of the CeCILL v2.1,
 * and continues to be available under such terms.
 * For more information, see the COPYING file which you should have received
 * along with this program.
 *
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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:ns4="http://www.w3.org/1999/xhtml" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:db="http://docbook.org/ns/docbook" xmlns:scilab="http://www.scilab.org" xml:id="orth" xml:lang="pt">
    <refnamediv>
        <refname>orth</refname>
        <refpurpose>base ortogonal</refpurpose>
    </refnamediv>
    <refsynopsisdiv>
        <title>Seqüência de Chamamento</title>
        <synopsis>Q=orth(A)</synopsis>
    </refsynopsisdiv>
    <refsection>
        <title>Parâmetros</title>
        <variablelist>
            <varlistentry>
                <term>A</term>
                <listitem>
                    <para>matriz de reais ou complexos</para>
                </listitem>
            </varlistentry>
            <varlistentry>
                <term>Q</term>
                <listitem>
                    <para>matriz de reais ou complexos</para>
                </listitem>
            </varlistentry>
        </variablelist>
    </refsection>
    <refsection>
        <title>Descrição</title>
        <para>
            <literal>Q=orth(A)</literal> retorna <literal>Q</literal>, uma base
            ortogonal para o gerado de <literal>A</literal>. Im(<literal>Q</literal>)
            = Im(<literal>A</literal>) e <literal>Q'*Q=eye</literal>.
        </para>
        <para>
            O número de colunas de <literal>Q</literal> é o posto de
            <literal>A</literal> como determinado pelo algoritmo QR.
        </para>
    </refsection>
    <refsection>
        <title>Exemplos</title>
        <programlisting role="example"><![CDATA[
A=rand(5,3)*rand(3,4);
[X,dim]=rowcomp(A);X=X';
svd([orth(A),X(:,1:dim)])
 ]]></programlisting>
    </refsection>
    <refsection role="see also">
        <title>Ver Também</title>
        <simplelist type="inline">
            <member>
                <link linkend="qr">qr</link>
            </member>
            <member>
                <link linkend="rowcomp">rowcomp</link>
            </member>
            <member>
                <link linkend="colcomp">colcomp</link>
            </member>
            <member>
                <link linkend="range">range</link>
            </member>
        </simplelist>
    </refsection>
</refentry>
