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	An analogue of the results of Saad and Stewart for harmonic Ritz vectors
	Chen, G. Z. ; Jia, Z. X. ; Chen GZ(陈桂芝)
刊名	http://dx.doi.org/10.1016/j.cam.2003.10.020
	2004-06-01
关键词	eigenproblem harmonic Rayleigh-Ritz method harmonic Ritz vector
英文摘要	Let (lambda, x) be an eigenpair of the matrix A of order n and let (mu, u) be a Ritz pair of A with respect to a subspace K. Saad has derived a simple priori error bound for sin angle(x, u) in terms of sin angle(x, K) for A Hermitian. Similar to Saad's result, Stewart has got an equally simple inequality for A non-Hermitian. In this paper, let (theta, w) be a harmonic Ritz pair from a subspace K, a similar priori error bound for sin angle(x, w) is established in terms of sin angle(x, K). (C) 2003 Elsevier B.V. All rights reserved.
语种	英语
内容类型	期刊论文
源URL	[http://dspace.xmu.edu.cn/handle/2288/66872]
专题	数学科学－已发表论文
推荐引用方式 GB/T 7714	Chen, G. Z.,Jia, Z. X.,Chen GZ. An analogue of the results of Saad and Stewart for harmonic Ritz vectors[J]. http://dx.doi.org/10.1016/j.cam.2003.10.020,2004.
APA	Chen, G. Z.,Jia, Z. X.,&陈桂芝.(2004).An analogue of the results of Saad and Stewart for harmonic Ritz vectors.http://dx.doi.org/10.1016/j.cam.2003.10.020.
MLA	Chen, G. Z.,et al."An analogue of the results of Saad and Stewart for harmonic Ritz vectors".http://dx.doi.org/10.1016/j.cam.2003.10.020 (2004).

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