非负矩阵Hadamard谱半径的新界值估计  

Some new estimations for the spectral radius of the Hadamard product of nonnegative matrices

作　　者：李华 周树克 兰奇逊 LI Hua;ZHOU Shu-Ke;LAN Qi-Xun(School of Mathematical and Physical Science, Henan University of Urban Construction, Pingdingshan 467036,China)

机构地区：[1]河南城建学院数理学院,河南平顶山467036

出　　处：《湖北师范大学学报（自然科学版）》2021年第2期1-5,共5页Journal of Hubei Normal University：Natural Science

基　　金：国家自然科学青年基金项目(61503122);河南省科技攻关项目(202102210142)。

摘　　要：非负矩阵的谱半径估计是非负矩阵理论研究中的重要课题,首先给出非负矩阵A和逆M-矩阵B的Hadamard积的谱半径上界估计式,其次得到了两个非负矩阵A和B的Hadamard积的谱半径上界估计式,这些估计式易于计算.数值例子表明新估计式在一定条件下改进了现有的一些结果。Estimation of the bounds for the spectral radius of nonnegative matrices is an important part in the theory of nonnegative matrices.Firstly,a new upper bound on the spectral radius of the Hadamard product of nonnegative matrix and inverse matrix is given.Secondly,a new upper bound on the spectral radius of the Hadamard product of two nonnegative matrix is obtained.These estimating formulas are easy to calculate.Numerical example shows that these new estimations improve several exsiting results in some cases.

关 键 词：非负矩阵 逆M-矩阵 HADAMARD积 谱半径 

分 类 号：O151.21[理学—数学]