PERTURBATION OF PARTITIONED LINEAR RESPONSE EIGENVALUE PROBLEMS

被引：0

作者：

Teng, Zhongming ^{[1
]}

Lu, Linzhang ^{[2
,3
]}

Li, Ren-Cang ^{[4
]}

机构：

[1] Fujian Agr & Forestry Univ, Coll Comp & Informat Sci, Fuzhou 350002, Peoples R China

[2] Guizhou Normal Univ, Sch Math & Comp Sci, Guizhou, Peoples R China

[3] Xiamen Univ, Sch Math Sci, Xiamen, Peoples R China

[4] Univ Texas Arlington, Dept Math, Arlington, TX 76019 USA

来源：

ELECTRONIC TRANSACTIONS ON NUMERICAL ANALYSIS | 2015年 / 44卷

基金：

中国国家自然科学基金; 美国国家科学基金会;

关键词：

linear response eigenvalue problem; random phase approximation; perturbation; quadratic perturbation bound; MINIMIZATION PRINCIPLES; TRACE MINIMIZATION; PENCILS;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper is concerned with bounds for the linear response eigenvalue problem for H = [GRAPHICS] , where K and M admit a 2 x 2 block partitioning. Bounds on how the changes of its eigenvalues are obtained when K and M are perturbed. They are of linear order with respect to the diagonal block perturbations and of quadratic order with respect to the off-diagonal block perturbations in K and M. The result is helpful in understanding how the Ritz values move towards eigenvalues in some efficient numerical algorithms for the linear response eigenvalue problem. Numerical experiments are presented to support the analysis.

引用

页码：624 / 638

页数：15

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