非负分块矩阵Perron根的上下界

Upper and Lower Bounds of Perron Roots of Nonnegative Partitioned Matrices

本文主要给出了非负分块矩阵Perron根的上下界的一种估计方法,利用分块矩阵的相关结论,得到了非负分块矩阵谱半径的估计式,并且通过数值例子来说明方法的有效性.

In this paper, the estimated method for Perron roots of nonnegative partitioned matrices is pro- posed. The estimator of spectral radius of nonnegative partitioned matrices can be caculated by using of parti- tioned matrices related conclusions. Numerical experiment has been shown the effectiveness of our method.