矩阵Hadamard积的最小特征值新下界  

New lower bounds for the minimum eigenvalue of the Hadamard product of matrices

作　　者：张晓凤[1] 陈付彬[1] ZHANG Xiaofeng;CHEN Fubin(Oxbridge College,Kunming University of Science and Technology,Kunming Yunnan 650106)

机构地区：[1]昆明理工大学津桥学院,云南昆明650106

出　　处：《宁夏师范学院学报》2023年第4期5-11,共7页Journal of Ningxia Normal University

基　　金：云南省教育厅科学研究基金资助项目(2018JS747;2020J1233).

摘　　要：依据Gerschgorin定理,给出非奇异M-矩阵Hadamard积的最小特征值新的下界,新结果只与相关矩阵的元素有关,在计算上比现有结果更容易.新估计式改进了现有文献中的一些结果,是现有结果的有益补充.In this paper,some new lower bounds for the minimum eigenvalue of the Hadamard product of nonsinggular M-matrices are given by using Gerschgorin theorem.The new results only depend on the elements of the relevant matrices,which are easier to compute than the existing results.The new estimation formula improves some results in existing literature and is a beneficial supplement to existing results.

关 键 词：非奇异 M-矩阵 HADAMARD积 最小特征值 下界 

分 类 号：O151.21[理学—数学]