翻訳と辞書 Words near each other ・ Block Island North Light ・ Block Island School ・ Block Island Sound ・ Block Island Southeast Light ・ Block Island State Airport ・ Block Island Wind Farm ・ Block Lake ・ Block Lamp ・ Block Lanczos algorithm ・ Block Lane ・ Block letters ・ Block letters (disambiguation) ・ Block LU decomposition ・ Block Magazine ・ Block Mania ・ Block matrix ・ Block matrix pseudoinverse ・ Block Mountain ・ Block Movement ・ Block Music ・ Block N Load ・ Block nested loop ・ Block O ・ Block of People's Democratic Parties ・ Block Out (band) ・ Block Out (video album) ・ Block Out discography ・ Block Parent Program ・ Block party ・ Block party (disambiguation) Dictionary Lists mini英和辞書 mini和英辞書 Webster 1913 Latin-English FOLDOC Wikipedia English ウィキペディア

翻訳と辞書　辞書検索 [ 開発暫定版 ] スポンサード リンク Block matrix ： ウィキペディア英語版 Block matrix In mathematics, a block matrix or a partitioned matrix is a matrix which is ''interpreted'' as having been broken into sections called blocks or submatrices. Intuitively, a matrix interpreted as a block matrix can be visualized as the original matrix with a collection of horizontal and vertical lines which break it out, or partition it, into a collection of smaller matrices. Any matrix may be interpreted as a block matrix in one or more ways, with each interpretation defined by how its rows and columns are partitioned. This notion can be made more precise for an $n$ by $m$ matrix $M$ by partitioning $n$ into a collection $rowgroups$, and then partitioning $m$ into a collection $colgroups$. The original matrix is then considered as the "total" of these groups, in the sense that the $(i,j)$ entry of the original matrix corresponds in a 1-to-1 way with some $(s,t)$ offset entry of some $(x,y)$, where $x\; \backslash in\; \backslash mathit$ and $y\; \backslash in\; \backslash mathit$. ==Example== The matrix :$\backslash mathbf\; =\; \backslash begin$ 1 & 1 & 2 & 2\\ 1 & 1 & 2 & 2\\ 3 & 3 & 4 & 4\\ 3 & 3 & 4 & 4\end can be partitioned into 4 2×2 blocks :$\backslash mathbf\_\; =\; \backslash begin$ 1 & 1 \\ 1 & 1 \end, \mathbf_ = \begin 2 & 2\\ 2 & 2\end, \mathbf_ = \begin 3 & 3 \\ 3 & 3 \end, \mathbf_ = \begin 4 & 4\\ 4 & 4\end. The partitioned matrix can then be written as :$\backslash mathbf\; =\; \backslash begin$ \mathbf_ & \mathbf_\\ \mathbf_ & \mathbf_\end. 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「Block 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.