谱约束下反埃尔米特广义哈密尔顿矩阵最佳逼近解的扰动分析  

Perturbation analysis based on the optimal approximation solution of Anti-Hermite-generalized Hamilton matrix with assigned spectra

作　　者：马晓艳[1] 谢冬秀[1] 

机构地区：[1]北京信息科技大学理学院,北京100192

出　　处：《北京信息科技大学学报（自然科学版）》2012年第4期81-83,88,共4页Journal of Beijing Information Science and Technology University

基　　金：北京市自然科学基金资助项目(1122015)

摘　　要：给出谱约束下反埃尔米特广义哈密尔顿矩阵的最佳逼近解的表达式,讨论反埃尔米特广义哈密尔顿矩阵这个矩阵类,在特征值和特征向量有扰动的情况下,对谱约束下的最佳逼近解产生的影响,并给出数值例子。An explicit expression of the optimal approximation solution of Anti-Hermite -generalized Hamilton matrix with assigned spectra is derived. The perturbation analysis of the optimal approximation solution with assigned spectra is carried out when the eigenvalue and the corresponding eigenvector of Anti-Hermite-generalized Hamilton matrix are changed. A numerical example is also provided.

关 键 词：反埃尔米特广义哈密尔顿矩阵 逼近解 扰动分析 

分 类 号：O151.21[理学—数学]