翻訳と辞書 Words near each other ・ Z-G ・ Z-gene ・ Z-group ・ Z-index ・ Z-Ligand ・ Z-line ・ Z-M Weapons ・ Z-machine ・ Z-Maestro ・ Z-Man ・ Z-Man (rapper) ・ Z-Man Games ・ Z-Man Records ・ Z-matrix ・ Z-matrix (chemistry) ・ Z-matrix (mathematics) ・ Z-mill ・ Z-Mind ・ Z-Netz ・ Z-order ・ Z-order curve ・ Z-Out ・ Z-pinch ・ Z-pinning ・ Z-plan castle ・ Z-plane ・ Z-plasty ・ Z-polyhedron ・ Z-push ・ Z-RAM 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 Z-matrix (mathematics) ： ウィキペディア英語版 Z-matrix (mathematics) In mathematics, the class of ''Z''-matrices are those matrices whose off-diagonal entries are less than or equal to zero; that is, a ''Z''-matrix ''Z'' satisfies :$Z=(z\_);\backslash quad\; z\_\backslash leq\; 0,\; \backslash quad\; i\backslash neq\; j.$ Note that this definition coincides precisely with that of a negated Metzler matrix or quasipositive matrix, thus the term ''quasinegative'' matrix appears from time to time in the literature, though this is rare and usually only in contexts where references to quasipositive matrices are made. The Jacobian of a competitive dynamical system is a ''Z''-matrix by definition. Likewise, if the Jacobian of a cooperative dynamical system is ''J'', then (−''J'') is a ''Z''-matrix. Related classes are ''L''-matrices, ''M''-matrices, ''P''-matrices, ''Hurwitz'' matrices and ''Metzler'' matrices. ''L''-matrices have the additional property that all diagonal entries are greater than zero. M-matrices have several equivalent definitions, one of which is as follows: a ''Z''-matrix is an ''M''-matrix if it is nonsingular and its inverse is nonnegative. All matrices that are both ''Z''-matrices and ''P''-matrices are nonsingular ''M''-matrices. ==See also== * P-matrix * M-matrix * Hurwitz matrix * Metzler 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「Z-matrix (mathematics)」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.