关于格矩阵的无穷积  

On Infinite Products of Lattice Matrices

作　　者：周积团[1] 肖荣[1] 

机构地区：[1]五邑大学数学与计算科学学院,广东江门529020

出　　处：《模糊系统与数学》2015年第1期31-34,共4页Fuzzy Systems and Mathematics

基　　金：国家自然科学基金资助项目(11201092;11101204)

摘　　要：研究了n阶格矩阵的无穷积,其性质不同于已有文献中研究过的格矩阵幂的性质。给出无穷积(弱或强)收敛的一些充分条件和几个重要性质,部分结论推广了有关模糊矩阵和格矩阵的相关结果。Infinite product of n×n lattice matrices is studied. The behavior of infinite product is quite different from the power of a lattice matrix which has been studied in the literature. Properties and sufficient conditions for the （weak or strong） convergence of infinite products are presented. Partial results in this work generalize and develop the corresponding ones on fuzzy matrices and lattice matrices.

关 键 词：格矩阵 k阶传递性 k阶紧性 列占优 无穷积 收敛 

分 类 号：O159[理学—数学] O151[理学—基础数学]