非负矩阵Hadamard积的最大特征值的新上界

New Upper Bounds on the Largest Eigenvalues of the Hadamard Product of Nonnegative Matrices

关于非负矩阵A和B的Hadamard积的最大特征值的上界问题,主要利用Gerschgorin定理和Brauer定理给出了新的估计式,并把新结果与现有结果进行了比较.数值算例表明新结果在只依赖矩阵元素的条件下改进了现有的一些估计式.

In this paper,for the upper bounds on the largest eigenvalue of the Hadamard product of two nonnegative matrices AandB,some new estimating formulas are given by using Gerschgorin theorem and Brauer theorem and compared the new results with the other existing results.Numerical example shows that the new results improve some existing ones in some cases.