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
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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). |
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