An improved upper bound for the number of distinct eigenvalues of a matrix after perturbation

doi:10.1016/j.laa.2017.02.024

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	An improved upper bound for the number of distinct eigenvalues of a matrix after perturbation
	Xu, Xuefeng
	2017-06-15
发表期刊	LINEAR ALGEBRA AND ITS APPLICATIONS
ISSN	0024-3795
卷号	523 页码:109-117
摘要	An upper bound for the number of distinct eigenvalues of a perturbed matrix has been recently established by P. E. Farrell [1, Theorem 1.3]. The estimate is the central result in Farrell's work and can be applied to estimate the number of Krylov iterations required for solving a perturbed linear system. In this paper, we present an improved upper bound for the number of distinct eigenvalues of a matrix after perturbation. Furthermore, some results based on the improved-estimate are presented. (C) 2017 Elsevier Inc. All rights reserved.
关键词	Distinct eigenvalues Perturbation Defectivity Derogatory index
DOI	10.1016/j.laa.2017.02.024
语种	英语
资助项目	National Natural Science Foundation of China[91430215] ; National Natural Science Foundation of China[91530323]
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000399845900009
出版者	ELSEVIER SCIENCE INC
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/26037
专题	中国科学院数学与系统科学研究院
通讯作者	Xu, Xuefeng
作者单位	Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math & Sci Engn Comp, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Xu, Xuefeng. An improved upper bound for the number of distinct eigenvalues of a matrix after perturbation[J]. LINEAR ALGEBRA AND ITS APPLICATIONS,2017,523:109-117.
APA	Xu, Xuefeng.(2017).An improved upper bound for the number of distinct eigenvalues of a matrix after perturbation.LINEAR ALGEBRA AND ITS APPLICATIONS,523,109-117.
MLA	Xu, Xuefeng."An improved upper bound for the number of distinct eigenvalues of a matrix after perturbation".LINEAR ALGEBRA AND ITS APPLICATIONS 523(2017):109-117.