广义生灭矩阵的对偶q-矩阵Q＊及最小Q＊-函数  

The Dual q-matrix Q＊ and the Minimal Q＊-function of the Generalized Birth-death Matrix

作　　者：赵海霞[1] 李扬荣[2] 唐生强[1] 

机构地区：[1]桂林电子科技大学数学与计算科学学院,广西桂林541004 [2]西南大学数学与统计学院,重庆400715

出　　处：《广西师范大学学报（自然科学版）》2014年第4期76-83,共8页Journal of Guangxi Normal University:Natural Science Edition

基　　金：国家自然科学基金资助项目(11071199;11361017);桂林电子科技大学创新团队项目

摘　　要：本文讨论广义生灭矩阵Q的对偶q-矩阵Q*的基本性质,结合基本性质得出在一定条件下Q*强零入、零出的数字刻画,并由此推出在相应条件下,Q强零入当且仅当Q*零出,Q零出当且仅当Q*强零入,从而找到了Q与Q*在性质上的关联。本文还讨论了最小Q*函数的基本性质,并得出在一定条件下最小Q-函数的对偶恰是最小Q*函数。In this paper,the main properties of the dual q-matrix Q＊ of the generalized birth-death matrix Q were discussed.According to these properties,the digital descriptions of Q＊ is strong zeroentrance and zero-exit were found respectively.Following conclusions were got：Q is strong zeroentrance if and only if Q＊ is zero-exit;Q is zero-exit if and only if Q＊ is strong zero-entrance.Thus the relation between Q and Q＊ were found.Besides,the main properties of the minimal Q＊ -function were discussed,and the following conclusion was got,under certain conditions,the dual of the minimal Q function is the minimal Q＊ -function exactly.

关 键 词：广义生灭矩阵Q 对偶q-矩阵 小Q＊函数 

分 类 号：O177.2[理学—数学]