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<?xml version="1.0" encoding="UTF-8"?>
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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:mml="http://www.w3.org/1998/Math/MathML" xmlns:db="http://docbook.org/ns/docbook" version="5.0-subset Scilab" xml:lang="ja" xml:id="householder">
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<refname>householder</refname>
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<refpurpose>ハウスホルダー直交鏡映行列</refpurpose>
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<synopsis>u=householder(v [,w])</synopsis>
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<para>実数または複素数の列ベクトル</para>
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<literal>v</literal>と同じ大きさの実数または複素数の列ベクトル.
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デフォルト値は<literal>eye(v)</literal>
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<para>実数または複素数の列ベクトル</para>
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<literal>v</literal>, <literal> w</literal> を指定すると,
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<literal>householder(v,w)</literal> は,
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<literal> (eye()-2*u*u')*v</literal>が<literal>w</literal>に比例するような
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ユニタリ列ベクトル<literal>u</literal>を返します.
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<literal>(eye()-2*u*u')</literal> はハウスホルダー直交鏡映行列です.
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<literal>w</literal> のデフォルト値は <literal> eye(v)</literal>です.
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この場合,ベクトル<literal> (eye()-2*u*u')*v</literal> はベクトル
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<literal> eye(v)*norm(v)</literal>です.
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<refsection role="see also">
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<simplelist type="inline">
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<link linkend="qr">qr</link>
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<link linkend="givens">givens</link>