On local quadratic convergence of inexact simplified Jacobi-Davidson method for interior eigenpairs of Hermitian eigenproblems

doi:10.1016/j.aml.2017.03.021

	On local quadratic convergence of inexact simplified Jacobi-Davidson method for interior eigenpairs of Hermitian eigenproblems
	Bai, Zhong-Zhi1 ; Miao, Cun-Qiang
	2017-10-01
发表期刊	APPLIED MATHEMATICS LETTERS
ISSN	0893-9659
卷号	72 页码:23-28
摘要	For the Hermitian eigenproblems, under proper assumption on an initial approximation to the desired eigenvector, we prove local quadratic convergence of the inexact simplified Jacobi-Davidson method when the involved relaxed correction equation is solved by a standard Krylov subspace iteration, which particularly leads to local cubic convergence when the relaxed correction equation is solved to a prescribed precision proportional to the norm of the current residual. These results are valid for the interior as well as the extreme eigenpairs of the Hermitian eigenproblem and, hence, generalize the results by Bai and Miao (2017) from the extreme eigenpairs to the interior ones. (C) 2017 Elsevier Ltd. All rights reserved.
关键词	Hermitian eigenproblem Jacobi-Davidson method Inexact iteration Standard Krylov subspace iteration Local convergence
DOI	10.1016/j.aml.2017.03.021
语种	英语
资助项目	National Natural Science Foundation[11671393] ; National Natural Science Foundation for Creative Research Groups, PR China[11321061]
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000403126700004
出版者	PERGAMON-ELSEVIER SCIENCE LTD
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/25600
专题	计算数学与科学工程计算研究所
通讯作者	Bai, Zhong-Zhi
作者单位	1.Chinese Acad Sci, State Key Lab Sci Engn Comp, Inst Computat Math & Sci Engn Comp, Acad Math & Syst Sci, POB 2719, Beijing 100190, Peoples R China 2.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China
推荐引用方式 GB/T 7714	Bai, Zhong-Zhi,Miao, Cun-Qiang. On local quadratic convergence of inexact simplified Jacobi-Davidson method for interior eigenpairs of Hermitian eigenproblems[J]. APPLIED MATHEMATICS LETTERS,2017,72:23-28.
APA	Bai, Zhong-Zhi,&Miao, Cun-Qiang.(2017).On local quadratic convergence of inexact simplified Jacobi-Davidson method for interior eigenpairs of Hermitian eigenproblems.APPLIED MATHEMATICS LETTERS,72,23-28.
MLA	Bai, Zhong-Zhi,et al."On local quadratic convergence of inexact simplified Jacobi-Davidson method for interior eigenpairs of Hermitian eigenproblems".APPLIED MATHEMATICS LETTERS 72(2017):23-28.