An invert-free Arnoldi method for computing interior eigenpairs of large matrices

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	An invert-free Arnoldi method for computing interior eigenpairs of large matrices
	Niu, Q. ; Lu, L. Z. ; Lu LZ(卢琳璋)
刊名	http://dx.doi.org/10.1080/00207160701210331
	2007
关键词	EIGENVALUE PROBLEMS RAYLEIGH-RITZ UNSYMMETRIC MATRICES KRYLOV SUBSPACES CONVERGENCE ALGORITHM SPARSE
英文摘要	This paper presents an invert-free Arnoldi method for extracting a few interior eigenpairs of large sparse matrices. It is derived by implicitly applying the Arnoldi process with the shifted and inverted operator (A-tau I)(-1) in a shifted Krylov subspace (A-tI) Km( A, v(1)). Due to a subtle relationship between the Krylov subspace K-m(A, v(1)) and its shifted Krylov subspace, we avoid forming the shifted and inverted operator explicitly. Comparisons are drawn between the harmonic Arnoldi method and the invert-free Arnoldi method. Finally, numerical results are reported to show the efficiency of the new method.
语种	英语
内容类型	期刊论文
源URL	[http://dspace.xmu.edu.cn/handle/2288/66140]
专题	数学科学－已发表论文
推荐引用方式 GB/T 7714	Niu, Q.,Lu, L. Z.,Lu LZ. An invert-free Arnoldi method for computing interior eigenpairs of large matrices[J]. http://dx.doi.org/10.1080/00207160701210331,2007.
APA	Niu, Q.,Lu, L. Z.,&卢琳璋.(2007).An invert-free Arnoldi method for computing interior eigenpairs of large matrices.http://dx.doi.org/10.1080/00207160701210331.
MLA	Niu, Q.,et al."An invert-free Arnoldi method for computing interior eigenpairs of large matrices".http://dx.doi.org/10.1080/00207160701210331 (2007).