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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 Interpolative decomposition ： ウィキペディア英語版 Interpolative decomposition In numerical analysis interpolative decomposition (ID) factors a matrix as the product of two matrices, one of which contains selected columns from the original matrix, and the other has a subset of columns that consists the identity matrix and all its values are not larger than 2 in absolute value. ==Definition == Let $A$ be an $m\; \backslash times\; n$ with rank $r$. than $A$ can be written as: :$A\; =\; A\_\; X\; ,\; \backslash ,$ where: * $J$ is a subset of $r$ indices from $1\; ,\backslash ldots,\; n$ * The $m\; \backslash times\; r$ matrix $A\_$ represents the $J$'s columns of $A$ * $X$ is a $r\; \backslash times\; n$ matrix that all its values are less than 2 in magnitude. $X$ has a $r\; \backslash times\; r$ identity sub-matrix. Note that similar decomposition can be done using the rows of $A$. 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「Interpolative decomposition」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.