一类非本原几乎可约矩阵的幂敛指数  

Index of convergence for a class of imprimitive nearly reducible boolean matrix

作　　者：李毓祁 李大超[2] 

机构地区：[1]海南省五指山市人民银行,海南五指山572200 [2]海南师范学院数学系,海南海口571158

出　　处：《海南师范学院学报（自然科学版）》2005年第4期306-312,共7页Journal of Hainan Normal University:Natural Science

摘　　要：应用图论方法推导出至少有一对非零对称元但非对称且周期为2的n(>4)阶非本原几乎可约布尔矩阵所成的类(NBn)的若干个指数公式,并进一步确定出NBn的幂敛指数集(S1∪S2∪S3).In this paper we applied the graphic method to determine the index of convergence for a class of n（〉4） order nonsymmetric imprimitive nearly reducible Boolean matrix with at least one pair of nonzero symmetry entries and whose given period is two. Our results are as follows： （ 1 ） we deduced several formula of index for the class of imprimitive nearly reducible Boolean matrices; （2） we obtained the index set（ S1 ∪ S2 ∪ S3 ）for the class of imprimitive nearly reducible Boolean matrices.

关 键 词：几乎可约矩阵 幂敛指数 极小强连通图 

分 类 号：O157.5[理学—数学]