Sharp error bounds of some Krylov subspace methods for non-Hermitian linear systems

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	Sharp error bounds of some Krylov subspace methods for non-Hermitian linear systems
	Bai, ZZ
	2000-03-15
发表期刊	APPLIED MATHEMATICS AND COMPUTATION
ISSN	0096-3003
卷号	109 期号:2-3 页码:273-285
摘要	The convergence of the Krylov subspace methods, e.g., Full Orthogonal Method (FOM) and Generalized Minimal Residual Method (GMRES), etc., for solving large non-Hermitian linear systems is studied in a unified and detailed way when the coefficient matrix is defective; in particular, when its spectrum lies in the open right (left) half plane or is on the real axis. Related theoretical error bounds are established, which reveal some intrinsic relationships between the convergence properties and the eigen-characteristics of the coefficient matrix. These results not only generalize all the known ones for the diagonalizable matrices in the literature, but also sharp the corresponding estimates in Jia (Acta Mathematica Sinica (New Series) 14 (1998) 507-518). (C) 2000 Elsevier Science Inc. All rights reserved. AMS classifications: 65F10; 41A10.
关键词	non-Hermitian linear systems convergence property Krylov subspace method the Chebyshev polynomials error bound
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000085105100013
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/15593
专题	中国科学院数学与系统科学研究院
通讯作者	Bai, ZZ
作者单位	Chinese Acad Sci, Inst Computat Math & Sci Engn Comp, State Key Lab Sci Engn Comp, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Bai, ZZ. Sharp error bounds of some Krylov subspace methods for non-Hermitian linear systems[J]. APPLIED MATHEMATICS AND COMPUTATION,2000,109(2-3):273-285.
APA	Bai, ZZ.(2000).Sharp error bounds of some Krylov subspace methods for non-Hermitian linear systems.APPLIED MATHEMATICS AND COMPUTATION,109(2-3),273-285.
MLA	Bai, ZZ."Sharp error bounds of some Krylov subspace methods for non-Hermitian linear systems".APPLIED MATHEMATICS AND COMPUTATION 109.2-3(2000):273-285.