%0 Journal Article
%T 非负矩阵最大特征值的新界值<br>New Bounds for the Greatest Eigenvalue of a Nonnegative Matrix
%A 钟琴
%J 西南大学学报(自然科学版)
%D 2018
%R 10.13718/j.cnki.xdzk.2018.02.007
%X 非负矩阵最大特征值的估计是非负矩阵理论研究的重要组成部分.如果上下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.本文通过构造两个收敛的序列得到非负矩阵最大特征值的新界值.数值算例表明其结果比有关结论更加精确.<br>Estimation the bounds for the greatest eigenvalue of a nonnegative matrix is important part in the theory of nonnegative matrices. It is more practical value when the bounds are expressed easily calculated function in element of matrix. New bounds for the greatest eigenvalue of a nonnegative matrix were obtained by constructing two convergent sequences. Numerical example is given to illustrate the effectiveness by comparing with the relevant conclusions
%K 新界值
%K 非负矩阵
%K 最大特征值&lt
%K br&gt
%K new bounds
%K nonnegative matrix
%K the greatest eigenvalue
%U http://xbgjxt.swu.edu.cn/jsuns/html/jsuns/2018/2/201802007.htm