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

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.