| Title | Deflated block Krylov subspace methods for large scale eigenvalue problems |
| Creator | |
| Date Issued | 2010-06-01 |
| Source Publication | Journal of Computational and Applied Mathematics
 |
| ISSN | 0377-0427 |
| Volume | 234Issue:3Pages:636-648 |
| Abstract | We discuss a class of deflated block Krylov subspace methods for solving large scale matrix eigenvalue problems. The efficiency of an Arnoldi-type method is examined in computing partial or closely clustered eigenvalues of large matrices. As an improvement, we also propose a refined variant of the Arnoldi-type method. Comparisons show that the refined variant can further improve the Arnoldi-type method and both methods exhibit very regular convergence behavior. © 2009 Elsevier B.V. All rights reserved. |
| Keyword | Arnoldi process Krylov subspace Refined approximate eigenvector Ritz value Ritz vector |
| DOI | 10.1016/j.cam.2009.11.058 |
| URL | View source |
| Language | 英语English |
| Scopus ID | 2-s2.0-77949487038 |
| Citation statistics | |
| Document Type | Journal article |
| Identifier | http://repository.uic.edu.cn/handle/39GCC9TT/6631 |
| Collection | Beijing Normal-Hong Kong Baptist University |
| Corresponding Author | Niu，Qiang |
| Affiliation | 1.College of Mathematical Science,Qingdao University,Qingdao, 266071,China 2.BNU-HKBU United International College,Zhuhai, 519085,China 3.School of Mathematics and Computer Science,Guizhou Normal University,Guiyang, 550001,China 4.School of Mathematical Sciences,Xiamen University,Xiamen, 361005,China |
| First Author Affilication | Beijing Normal-Hong Kong Baptist University |
| Corresponding Author Affilication | Beijing Normal-Hong Kong Baptist University |
| Recommended Citation GB/T 7714 | Niu，Qiang,Lu，Linzhang. Deflated block Krylov subspace methods for large scale eigenvalue problems[J]. Journal of Computational and Applied Mathematics, 2010, 234(3): 636-648. |
| APA | Niu，Qiang, & Lu，Linzhang. (2010). Deflated block Krylov subspace methods for large scale eigenvalue problems. Journal of Computational and Applied Mathematics, 234(3), 636-648. |
| MLA | Niu，Qiang,et al."Deflated block Krylov subspace methods for large scale eigenvalue problems". Journal of Computational and Applied Mathematics 234.3(2010): 636-648. |
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