一类非对称矩阵的幂敛指数集  

Exponent Set of Power Convergence for a Class of Non-symmetric Matrices

作　　者：李毓祁 

机构地区：[1]海南省五指山市人民银行,海南五指山572200

出　　处：《海南大学学报（自然科学版）》2002年第3期200-208,共9页Natural Science Journal of Hainan University

摘　　要：证明了至少有一对非零对称元但非对称且周期为 2的n阶非本原不可约布尔矩阵所成的类的幂敛指数集是 :(ⅰ )若n(>3)是偶数 ,则Kn={ 2 ,3,… ,2n - 4} ;(ⅱ )若n(>3)是奇数 ,则Kn={ 2 ,3,… ,2n - 5 } .In this paper,the author completely proves the exponent set of power convergence for the class of n order non symmetric imprimitive irreducible Boolean matrix which at least exists one pair of nonzero symmetry elements and whose period is 2.The main results are as follows:(ⅰ)if n(>3) is even,then K n=2,3,...,2n-4;(ⅱ) if n(>3) is odd,then K n=2,3,...,2n-5.

关 键 词：非对称矩阵 幂敛指数集 不可约布尔矩阵 局部幂敛指数 伴随有向图 布尔代数 

分 类 号：O151.21[理学—数学]