迭代矩阵谱半径的上界估计

摘要

该文对一类广义对角占优矩阵M，给出了迭代矩阵M-1N的谱半径的上界.特别，当M是严格对角占优时，证明了所得到的估计值总比通常用作谱半径的估计值要好.%In this paper we present the estimates of upper bounds of the spectral radius for the iteration matrix M-1N for some generalized diagonally dominant matrix M. Particularly, we show that our estimate of the spectral radius is better than those in the references.