矩阵Hadamard积和Fan积的特征值界的一些新估计式（英文）  

SOME NEW EIGENVALUE BOUNDS FOR THE HADAMARD PRODUCT AND THE FAN PRODUCT OF MATRICES

作　　者：陈付彬[1] 任献花[1] 郝冰[1] 

机构地区：[1]昆明理工大学津桥学院建筑艺术及工学系,云南昆明650106

出　　处：《数学杂志》2014年第5期895-903,共9页Journal of Mathematics

基　　金：Supported by Scientific Research Fund of Yunnan Provincial Education Department(2012Y427;2010Y073)

摘　　要：本文研究了非奇异M-矩阵A与B的Fan积的最小特征值下界和非负矩阵A与B的Hadamard积的谱半径上界的估计问题.利用Brauer定理,得到了一些只依赖于矩阵的元素且易于计算的新估计式,改进了文献[41现有的一些结果.A lower bound for the minimum eigenvalue for the Fan product of nonsingular M-matrices A and B and an upper bound for the spectral radius of Hadamard product of nonnegative matrices A and B are studied in this paper. By using the Brauer＇s theorem, some new estimating formulas of the bounds are obtained, which depend only on the entries and are easier to calculate. These bounds improve some results of [4].

关 键 词：M-矩阵 非负矩阵 HADAMARD积 Fan积 谱半径 最小特征值 

分 类 号：O151.21[理学—数学]