| Title | An investigation of restarted GMRES method by using flexible starting vectors |
| Creator | |
| Date Issued | 2010 |
| Source Publication | Numerical Mathematics
 |
| ISSN | 1004-8979 |
| Volume | 3Issue:3Pages:338-351 |
| Abstract | We discuss a variant of restarted GMRES method that allows changes of the restarting vector at each cycle of iterations. The merit of the variant is that previously generated information can be utilized to select a new starting vector, such that the occurrence of stagnation be mitigated or the convergence be accelerated. The more appealing utilization of the new method is in conjunction with a harmonic Ritz vector as the starting vector, which is discussed in detail. Numerical experiments are carried out to demonstrate that the proposed procedure can effectively mitigate the occurrence of stagnation due to the presence of small eigenvalues in modulus. © 2010 Global-Science Press. |
| Keyword | Arnoldi process GMRES Harmonic Ritz vector Linear systems of equations |
| DOI | 10.4208/nmtma.2010.33.4 |
| URL | View source |
| Language | 英语English |
| Scopus ID | 2-s2.0-80052228880 |
| Citation statistics |
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| Document Type | Journal article |
| Identifier | http://repository.uic.edu.cn/handle/39GCC9TT/6636 |
| Collection | Beijing Normal-Hong Kong Baptist University |
| Corresponding Author | Niu，Qiang |
| Affiliation | 1.BNU-HKBU,United International College,Zhuhai 519085,China 2.School of Mathematics and Computer Science,Guizhou Normal University,Guiyang 550001,China 3.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，Lin Zhang. An investigation of restarted GMRES method by using flexible starting vectors[J]. Numerical Mathematics, 2010, 3(3): 338-351. |
| APA | Niu，Qiang, & Lu，Lin Zhang. (2010). An investigation of restarted GMRES method by using flexible starting vectors. Numerical Mathematics, 3(3), 338-351. |
| MLA | Niu，Qiang,et al."An investigation of restarted GMRES method by using flexible starting vectors". Numerical Mathematics 3.3(2010): 338-351. |
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