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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 Jack Sherman (statistician) ： ウィキペディア英語版 Sherman–Morrison formula In mathematics, in particular linear algebra, the Sherman–Morrison formula, named after Jack Sherman and Winifred J. Morrison, computes the inverse of the sum of an invertible matrix $A$ and the outer product, $u\; v^T$, of vectors $u$ and $v$. The Sherman–Morrison formula is a special case of the Woodbury formula. Though named after Sherman and Morrison, it appeared already in earlier publications. == Statement == Suppose $A$ is an invertible square matrix and $u$, $v$ are column vectors. Suppose furthermore that $1\; +\; v^T\; A^u\; \backslash neq\; 0$. Then the Sherman–Morrison formula states that :$(A+uv^T)^\; =\; A^\; -\; \backslash over\; 1\; +\; v^T\; A^u\}.$ Here, $uv^T$ is the outer product of two vectors $u$ and $v$. The general form shown here is the one published by Bartlett. 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「Sherman–Morrison formula」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.