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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 pentadiagonal matrix ： ウィキペディア英語版 pentadiagonal matrix In linear algebra, a pentadiagonal matrix is a matrix that is nearly diagonal; to be exact, it is a matrix in which the only nonzero entries are on the main diagonal, and the first two diagonals above and below it. So it is of the form :$\backslash begin$ c_1 & d_1 & e_1 & 0 & \cdots & \cdots & 0 \\ b_1 & c_2 & d_2 & e_2 & \ddots & & \vdots \\ a_1 & b_2 & \ddots & \ddots & \ddots & \ddots & \vdots \\ 0 & a_2 & \ddots & \ddots & \ddots & e_ & 0 \\ \vdots & \ddots & \ddots & \ddots & \ddots & d_ & e_ \\ \vdots & & \ddots & a_ & b_ & c_ & d_ \\ 0 & \cdots & \cdots & 0 & a_ & b_ & c_n \end. It follows that a pentadiagonal matrix has at most $5n-6$ nonzero entries, where ''n'' is the size of the matrix. Hence, pentadiagonal matrices are sparse. This makes them useful in numerical analysis. ==See also== * tridiagonal matrix 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「pentadiagonal 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.