da47d6d839b2b5f01cb7590645db8e874611cc3a
[scilab.git] / scilab / modules / linear_algebra / help / pt_BR / factorization / householder.xml
1 <?xml version="1.0" encoding="ISO-8859-1"?>
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16 <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="householder" xml:lang="en">
17     <refnamediv>
18         <refname>householder</refname>
19         <refpurpose>matriz de reflexão ortogonal de Householder</refpurpose>
20     </refnamediv>
21     <refsynopsisdiv>
22         <title>Seqüência de Chamamento</title>
23         <synopsis>u=householder(v [,w])</synopsis>
24     </refsynopsisdiv>
25     <refsection>
26         <title>Parâmetros</title>
27         <variablelist>
28             <varlistentry>
29                 <term>v</term>
30                 <listitem>
31                     <para>vetor coluna de reais ou complexos</para>
32                 </listitem>
33             </varlistentry>
34             <varlistentry>
35                 <term>w</term>
36                 <listitem>
37                     <para>vetor coluna de reais ou complexos com o mesmo tamanho que
38                         <literal>v</literal>. Valor padrão é
39                         <literal>eye(v)</literal>
40                     </para>
41                 </listitem>
42             </varlistentry>
43             <varlistentry>
44                 <term>u</term>
45                 <listitem>
46                     <para>vetor coluna de reais ou complexos</para>
47                 </listitem>
48             </varlistentry>
49         </variablelist>
50     </refsection>
51     <refsection>
52         <title>Descrição</title>
53         <para>
54             Dados dois vetores coluna <literal>v</literal>, <literal>
55                 w
56             </literal>
57             de mesmo tamanho, <literal>householder(v,w)</literal> retorna
58             um vetor coluna unitário <literal>u</literal>, tal que<literal>
59                 (eye()-2*u*u')*v
60             </literal>
61             éproporcional a <literal>w</literal>.
62             <literal>(eye()-2*u*u')</literal> é a matriz de reflexão ortogonal de
63             Householder .
64         </para>
65         <para>
66             O valor padrão de<literal> w</literal> é<literal> eye(v)</literal>.
67             Neste caso, o vetor <literal> (eye()-2*u*u')*v</literal> é o
68             vetor<literal> eye(v)*norm(v)</literal>.
69         </para>
70     </refsection>
71     <refsection role="see also">
72         <title>Ver Também</title>
73         <simplelist type="inline">
74             <member>
75                 <link linkend="qr">qr</link>
76             </member>
77             <member>
78                 <link linkend="givens">givens</link>
79             </member>
80         </simplelist>
81     </refsection>
82 </refentry>