矩阵Hadamard积和Fan积特征值界的不等式  

Some Inequalities for the Hadamard Product and the Fan Product of Matrices

作　　者：李华[1] 

机构地区：[1]河南城建学院数理系,河南平顶山467044

出　　处：《青岛科技大学学报（自然科学版）》2013年第3期325-328,共4页Journal of Qingdao University of Science and Technology:Natural Science Edition

基　　金：河南省科技计划项目(112400450212);河南省教育厅自然科学研究项目(2011A110002)

摘　　要：给出两个非负矩阵Hadamard积谱半径上界的一个新估计式和两个非奇异M矩阵的Fan积的最小特征值下界的新估计,估计式依赖矩阵的元素,易于计算。并通过具体例子加以比较,表明所得的结果在一定条件下更为精确。A new upper bound of spectral radius of Hadamard product for two nonnegative matrices,and a new lower bound of the minimum eigenvalue of Fan product for two nonsingular M-matrices are given,the estimations are easier to calculate since they only depend on the entries of matrices,Finally,example is given to show that the bounds are better than the prevous results.

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

分 类 号：O151.21[理学—数学]