非负不可约矩阵谱半径的估计  

Two-sided Bounds for the Spectral Radius of Nonnegative Irreducible Matrices

作　　者：李良[1] 黄廷祝[1] 

机构地区：[1]电子科技大学应用数学学院,成都610054

出　　处：《应用数学学报》2008年第2期271-277,共7页Acta Mathematicae Applicatae Sinica

基　　金：四川省应用基础研究项目(2008JY0052);电子科技大学"中青年学科带头人+创新团队"基金.

摘　　要：本文讨论n×n非负不可约矩阵的谱半径估计.给出了一种估计其上下界的新方法,该方法易于计算且能得到较紧的界.并用数值例子验证了这种方法的有效性.This paper is concerned with the estimation for the spectral radius of a nonnegative and irreducible n-by-n matrix A. We present a new method that can easily and tightly get the two-sided bounds for the spectral radius of A only by simply computing the sums for each row of A and AT. Several numerical examples are given to illustrate the effectiveness of our method.

关 键 词：非负不可约矩阵 上下界 谱半径 

分 类 号：O151.21[理学—数学]