分段埃尔米特广义特征值问题的扰动界(英文)  

Perturbation bounds of partitioned Hermitian generalized eigenvalue problems

作　　者：徐玮玮[1] 刘皞[2] 

机构地区：[1]南京信息工程大学数学与统计学院,南京210044 [2]南京航空航天大学理学院,南京210016

出　　处：《应用数学与计算数学学报》2013年第3期341-354,共14页Communication on Applied Mathematics and Computation

基　　金：Project supported by the National Natural Science Foundation of China(11071118,11001079);the Natural Science Foundation for Colleges and Universities of Jiangsu Province of China(13KJB110020)

摘　　要：讨论一类Hermitian广义特征值问题A-λB,其中A和B是Hermitian矩阵,并且B的(1,1)块和(2,2)块是正定的.考虑当A和B发生Hermitian扰动时相应特征值的界如何变化.数值例子也说明了这些结果.A class of Hermitian generalized eigenvalue problems A - AB are con- sidered in this paper. Both A and B are Hermitian with （1,1） and （2,2） blocks of B being positive definite. Bounds on how their eigenvalues vary when A and B are perturbed by Hermitian matrices are established. Numerical examples also illustrate these results.

关 键 词：广义特征值问题 扰动界 正定矩阵 

分 类 号：O151.21[理学—数学]