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<?xml version="1.0" encoding="ISO-8859-1"?>
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* Scilab ( http://www.scilab.org/ ) - This file is part of Scilab
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* Copyright (C) 2008 - INRIA
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* This file must be used under the terms of the CeCILL.
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* This source file is licensed as described in the file COPYING, which
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* you should have received as part of this distribution. The terms
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* are also available at
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* http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt
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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" version="5.0-subset Scilab" xml:id="norm" xml:lang="en">
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<refname>norm</refname>
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<refpurpose>norma de matrizes</refpurpose>
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<title>Seq��ncia de Chamamento</title>
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<synopsis>[y]=norm(x [,flag])</synopsis>
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<title>Par�metros</title>
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<para>vetor ou matriz de reais ou complexos (armazenamento cheio ou
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<para>string (tipo da norma) (valor padr�o = 2)</para>
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<title>Descri��o</title>
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<para>For matrices</para>
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ou <literal>norm(x,2)</literal> � o maior valor singular de
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<literal>x</literal> (<literal>max(svd(x))</literal>).
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<term>norm(x,1)</term>
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a norma l_1 de <literal>x</literal> (a maior soma coluna a
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coluna : <literal>max(sum(abs(x),'r'))</literal> ).
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<term>norm(x,'inf'),norm(x,%inf)</term>
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a norma infinitesimal de <literal>x</literal> (a maior soma
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linha a linha : <literal>max(sum(abs(x),'c'))</literal> ).
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<term>norm(x,'fro')</term>
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<para>norma de Frobenius i.e.
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<literal>sqrt(sum(diag(x'*x)))</literal>
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<para>Para vetores </para>
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<term>norm(v,p)</term>
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norma l_p (<literal>sum(v(i)^p))^(1/p)</literal> .
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<literal>=norm(v,2)</literal> : norma l_2
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<term>norm(v,'inf')</term>
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<literal>max(abs(v(i)))</literal>.
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<title>Exemplos</title>
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<programlisting role="example"><![CDATA[
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A=sparse([1 0 0 33 -1])
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<refsection role="see also">
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<title>Ver Tamb�m</title>
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<simplelist type="inline">
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<link linkend="h_norm">h_norm</link>
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<link linkend="dhnorm">dhnorm</link>
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<link linkend="h2norm">h2norm</link>
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<link linkend="abs">abs</link>