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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 Hadamard product (matrices) ： ウィキペディア英語版 Hadamard product (matrices) In mathematics, the Hadamard product (also known as the Schur product 〔Davis, Chandler. "The norm of the Schur product operation." Numerische Mathematik 4.1 (1962): 343-344.〕 or the entrywise product) is a binary operation that takes two matrices of the same dimensions, and produces another matrix where each element ''ij'' is the product of elements ''ij'' of the original two matrices. It should not be confused with the more common matrix product. It is attributed to, and named after, either French mathematician Jacques Hadamard, or German mathematician Issai Schur. The Hadamard product is associative and distributive, and unlike the matrix product it is also commutative. ==Definition== For two matrices, $A,\; B$, of the same dimension, $m\; \backslash times\; n$ the Hadamard product, $A\; \backslash circ\; B$, is a matrix, of the same dimension as the operands, with elements given by :$(A\; \backslash circ\; B)\_\; =\; (A)\_\; \backslash cdot\; (B)\_$. For matrices of different dimensions ($m\; \backslash times\; n$ and $p\; \backslash times\; q$, where $m\; \backslash not=\; p$ or $n\; \backslash not=\; q$ or both) the Hadamard product is undefined. 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「Hadamard product (matrices)」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.