摘要
本文证明了n阶非本原布尔矩阵的传递指数的上界为1/2(n-2)^2+2(当n为偶数时)和1/2(n-3)^2+4(当n为奇数时),并证明了该上界是可达的。
In this paper, we verify that the upper bound of transitive index for n×n irre- ducible imprimitive matrix is 1/2 (n - 2)~2 + 2 when n is even and 1/2 (n-3)2+ 4 when n is odd,and prove that this upper bound is sharp.