A new shift scheme for the harmonic Arnoldi method

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	A new shift scheme for the harmonic Arnoldi method
	Chen, G. Z. ; Lin, J. H. ; Chen GZ(陈桂芝)
刊名	http://dx.doi.org/10.1016/j.mcm.2008.04.007
	2008-12
关键词	PROJECTION METHODS LARGE MATRICES
英文摘要	The implicitly restarted harmonic Arnoldi algorithm by Morgan used those unwanted harmonic Ritz values as shifts-called Morgan's harmonic shifts. In this paper, a new shift scheme is given for the harmonic Arnoldi algorithm. We first analyze the harmonic Ritz values w(k+1) ,..., w(m) of A from the orthogonal complement of span of those wanted harmonic Ritz vectors with respect to K(m)(A, v(1)), then present an implicitly restarted harmonic Arnoldi algorithm with w(k+1) ,..., w(m) as shifts. Finally, through the numerical experiments, we mainly draw comparisons on our algorithm and Morgan's algorithm, and show our algorithm often performed better than Morgan's one. (C) 2008 Elsevier Ltd. All rights reserved.
语种	英语
内容类型	期刊论文
源URL	[http://dspace.xmu.edu.cn/handle/2288/66897]
专题	数学科学－已发表论文
推荐引用方式 GB/T 7714	Chen, G. Z.,Lin, J. H.,Chen GZ. A new shift scheme for the harmonic Arnoldi method[J]. http://dx.doi.org/10.1016/j.mcm.2008.04.007,2008.
APA	Chen, G. Z.,Lin, J. H.,&陈桂芝.(2008).A new shift scheme for the harmonic Arnoldi method.http://dx.doi.org/10.1016/j.mcm.2008.04.007.
MLA	Chen, G. Z.,et al."A new shift scheme for the harmonic Arnoldi method".http://dx.doi.org/10.1016/j.mcm.2008.04.007 (2008).