非负矩阵Perron根的上下界

Upper and Lower Bounds of Perron Roots of Nonnegative Matrices

本文主要给出了非负矩阵Perron根的一种估计方法,利用矩阵的特征值和对应特征向量的关系,得到了非负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 we propose an estimated method for Perron roots of nonnegative matrices.The estimator of spectral radius of nonnegative matrices can be caculated by the relationship between the eigenvalue and corresponding eigenvector of matrix.Numerical experiment has been shown the effectiveness of our method.