%0 Journal Article
%T 非负矩阵谱半径的上界估计<br>Estimation of the Upper Bounds for th Spectral Radius of Nonnegative Matrices
%A 钟琴
%A 周鑫
%A 牟谷芳&lt
%A br&gt
%A ZHONG Qin
%A ZHOU Xin
%A MOU Gu-fang
%J 西南大学学报(自然科学版)
%D 2017
%R 10.13718/j.cnki.xdzk.2017.06.008
%X 非负矩阵的谱半径估计是非负矩阵理论研究的重要课题之一.如果谱半径的上界能够表示为非负矩阵元素的易于计算的函数, 那么这种估计价值更高.结合非负矩阵的迹分两种情况给出非负矩阵谱半径的上界序列, 并且给出数值例子加以说明.<br>Estimation of the spectral radius of nonnegative matrices is an important part in the theory of nonnegative matrices. The estimates will be of greater practical value if the upper bounds of the spectral radius are expressed as a function of the element of a nonnegative matrix which is easy to calculate. In this paper, we obtain a decreasing sequence of the upper bounds for the spectral radius of a nonnegative matrix based on the trace of matrix. Numerical examples are given to illustrate the effectiveness of the method
%K 非负矩阵
%K 谱半径
%K 上界&lt
%K br&gt
%K nonnegative matrix
%K spectral radius
%K upper bound
%U http://xbgjxt.swu.edu.cn/jsuns/html/jsuns/2017/6/201706008.htm