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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 Totally positive matrix ： ウィキペディア英語版 Totally positive matrix In mathematics, a totally positive matrix is a square matrix in which the determinant of every square submatrix, including the minors, is not negative. A totally positive matrix also has all nonnegative eigenvalues. ==Definition== Let :$\backslash bold\; =\; (A\_)$ be an ''n'' × ''n'' matrix, where ''n, p, k, '' are all integers so that: :$\backslash begin$ & \bold_ = (A_)\\ & \end Then A a totally positive matrix if:〔(Spectral Properties of Totally Positive Kernels and Matrices, Allan Pinkus )〕 :$\backslash det(\backslash bold\_)\; \backslash geq\; 0$ for all ''p''. Each integer ''p'' corresponds to a ''p'' × ''p'' submatrix 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「Totally positive 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.