On semi-convergence of parameterized Uzawa methods for singular saddle point problems
文献类型：期刊论文
| 作者 | Zheng, Bing2; Bai, Zhong-Zhi1 ; Yang, Xi1
|
| 刊名 | LINEAR ALGEBRA AND ITS APPLICATIONS
 |
| 出版日期 | 2009-08-01 |
| 卷号 | 431期号:5-7页码:808-817 |
| 关键词 | Saddle point problem Singular matrix Parameterized Uzawa method Semi-convergence Optimal iteration parameters Semi-convergence factor |
| ISSN号 | 0024-3795 |
| DOI | 10.1016/j.laa.2009.03.033 |
| 英文摘要 | Bai et al. recently proposed an efficient parameterized Uzawa method for solving the nonsingular saddle point problems: see [Z.-Z. Bai, B.N. Parlett, Z.-Q. Wang, On generalized successive overrelaxation methods for augmented linear systems, Numer. Math. 102 (2005) 1-38]. In this paper, we further prove the semi-convergence of this method when it is applied to solve the singular saddle point problems under suitable restrictions on the involved iteration parameters. The optimal iteration parameters and the corresponding optimal semi-convergence factor for the parameterized Uzawa method are determined. In addition, numerical experiments are used to show the feasibility and effectiveness of the parameterized Uzawa method for solving singular saddle point problems. (C) 2009 Elsevier Inc. All rights reserved. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000267316800026 |
| 出版者 | ELSEVIER SCIENCE INC |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/8959]  |
| 专题 | 计算数学与科学工程计算研究所 |
| 通讯作者 | Bai, Zhong-Zhi |
| 作者单位 | 1.Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math & Sci Engn Comp, State Key Lab Sci Engn Comp, Beijing 100080, Peoples R China 2.Lanzhou Univ, Sch Math & Stat, Lanzhou 730000, Peoples R China |
| 推荐引用方式 GB/T 7714 | Zheng, Bing,Bai, Zhong-Zhi,Yang, Xi. On semi-convergence of parameterized Uzawa methods for singular saddle point problems[J]. LINEAR ALGEBRA AND ITS APPLICATIONS,2009,431(5-7):808-817. |
| APA | Zheng, Bing,Bai, Zhong-Zhi,&Yang, Xi.(2009).On semi-convergence of parameterized Uzawa methods for singular saddle point problems.LINEAR ALGEBRA AND ITS APPLICATIONS,431(5-7),808-817. |
| MLA | Zheng, Bing,et al."On semi-convergence of parameterized Uzawa methods for singular saddle point problems".LINEAR ALGEBRA AND ITS APPLICATIONS 431.5-7(2009):808-817. |
入库方式： OAI收割
来源：数学与系统科学研究院
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