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	A refined harmonic Rayleigh-Ritz procedure and an explicitly restarted refined harmonic Arnoldi algorithm
	Chen, GZ ; Jia, ZX
	2010-05-06 ; 2010-05-06
关键词	harmonic Ritz value harmonic Ritz vector refined harmonic Ritz vector Rayleigh quotients harmonic Rayleigh-Ritz procedure LARGE UNSYMMETRIC EIGENPROBLEMS EIGENVALUE PROBLEMS PROJECTION METHODS LARGE MATRICES Computer Science, Interdisciplinary Applications Computer Science, Software Engineering Mathematics, Applied
中文摘要	The work is fourfold. First, a refined harmonic Rayleigh-Ritz procedure is proposed, some relationships are established between the refined harmonic Ritz vector and the harmonic Ritz vector, an a priori error bound is derived for the refined harmonic Ritz vector, and some properties are established on Rayleigh quotients and residual norms. Second, a resulting refined harmonic Arnoldi method is discussed, and how to compute the refined harmonic Ritz vectors cheaply and accurately is considered. Third, an explicitly restarted refined harmonic Arnoldi algorithm is developed over an augmented Krylov subspace. Finally, numerical examples are reported that compare the new algorithm with the implicitly restarted harmonic Arnoldi algorithm (IRHA) and the implicitly restarted refined harmonic Arnoldi algorithm (IRRHA). Numerical results confirm efficiency of the new algorithm. (c) 2005 Elsevier Ltd. All rights reserved.
语种	英语 ; 英语
出版者	PERGAMON-ELSEVIER SCIENCE LTD ; OXFORD ; THE BOULEVARD, LANGFORD LANE, KIDLINGTON, OXFORD OX5 1GB, ENGLAND
内容类型	期刊论文
源URL	[http://hdl.handle.net/123456789/13928]
专题	清华大学
推荐引用方式 GB/T 7714	Chen, GZ,Jia, ZX. A refined harmonic Rayleigh-Ritz procedure and an explicitly restarted refined harmonic Arnoldi algorithm[J],2010, 2010.
APA	Chen, GZ,&Jia, ZX.(2010).A refined harmonic Rayleigh-Ritz procedure and an explicitly restarted refined harmonic Arnoldi algorithm..
MLA	Chen, GZ,et al."A refined harmonic Rayleigh-Ritz procedure and an explicitly restarted refined harmonic Arnoldi algorithm".(2010).

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