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
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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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