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

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.