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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 Jacket matrix ： ウィキペディア英語版 Jacket matrix In mathematics, a jacket matrix is a square matrix $A=\; (a\_)$ of order ''n'' if its entries are non-zero and real, complex, or from a finite field, and :$\backslash \; AB=BA=I\_n$ where ''I''''n'' is the identity matrix, and :$\backslash \; B\; =(a\_^)^T.$ where ''T'' denotes the transpose of the matrix. In other words, the inverse of a jacket matrix is determined its element-wise or block-wise inverse. The definition above may also be expressed as: :$\backslash forall\; u,v\; \backslash in\; \backslash :~a\_,a\_\; \backslash neq\; 0,\; ~~~~\; \backslash sum\_^n\; a\_^\backslash ,a\_\; =$ \begin n, & u = v\\ 0, & u \neq v \end The jacket matrix is a generalization of the Hadamard matrix,also it is a Diagonal block-wise inverse matrix. ==Motivation== , 1, 2, 4,.....|| Series |- |} As shown in Table, i.e. in series, n=2 case, Forward: $2^2=4$, Inverse : $(2^2)^=$, then, $4$ *=1. Therefore, exist an element-wise inverse. 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「Jacket matrix」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.