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翻訳と辞書　辞書検索 [ 開発暫定版 ] スポンサード リンク Householder operator ： ウィキペディア英語版 Householder operator In Linear algebra, define the Householder operator as follows. Let $V\backslash ,$ be a finite dimensional inner product space with unit vector $u\backslash in\; V$ Then, the Householder operator is an operator $H\_u\; :\; V\; \backslash to\; V\backslash ,$ defined by :$H\_u(x)\; =\; x\; -\; 2\backslash langle\; x,u\; \backslash rangle\; u\backslash ,$ where $\backslash langle\; \backslash cdot,\; \backslash cdot\; \backslash rangle$ is the inner product over $V\backslash ,$. This operator reflects the vector $x$ across a plane given by the normal vector $u$. Over a real vector space, the Householder operator is also known as the Householder transformation. The Householder operator has numerous properties such as linearity, being self-adjoint, and is a unitary or orthogonal operator on V. ==References== 抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』 ■ウィキペディアで「Householder operator」の詳細全文を読む スポンサード リンク 翻訳と辞書 : 翻訳のためのインターネットリソース Copyright(C) kotoba.ne.jp 1997-2016. All Rights Reserved.