迹非零布尔矩阵幂敛指数的极阵刻画

Characterization of the Extreme Matrices of Convergent Index for Boolean Matrices with Non-zero Trace

设Ｄｎ（ｄ）是恰含ｄ个非零对角元的ｎ阶布尔矩阵的集合，１≤ｄ≤ｎ．本文完全刻画了Ｄｎ（ｄ）中幂敛指数达到最大值的极矩阵，从而解决了迹非零布尔矩阵幂敛指数的极阵刻画问题．

Let Dn(d),1≤d≤n,be the set of Boolean matrices of order n with exact d non-zero diagnols.We give complete characterizations for the extreme matrices with the largest convergent index in Dn(d),thus the extreme matrix problem of convergent index for Boolean matrices with non-zero trace is settled.