On HSS-based constraint preconditioners for generalized saddle-point problems
文献类型：期刊论文
| 作者 | Zhang, Guo-Feng1; Ren, Zhi-Ru2; Zhou, Yuan-Yuan1 |
| 刊名 | NUMERICAL ALGORITHMS
 |
| 出版日期 | 2011-06-01 |
| 卷号 | 57期号:2页码:273-287 |
| 关键词 | Saddle-point problem Iterative method Preconditioning method Non-Hermitian indefinite linear system HSS-based preconditioner |
| ISSN号 | 1017-1398 |
| DOI | 10.1007/s11075-010-9428-3 |
| 英文摘要 | For the generalized saddle-point problems with non-Hermitian (1,1) blocks, we present an HSS-based constraint preconditioner, in which the (1,1) block of the preconditioner is constructed by the HSS method for solving the non-Hermitian positive definite linear systems. We analyze the invertibility of the HSS-based constraint preconditioner and prove the convergence of the preconditioned iteration method. Numerical experiments are used to demonstrate the efficiency of the preconditioner as well as the corresponding preconditioned iteration method, especially when the (1,1) block of the saddle-point matrix is essentially non-Hermitian. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000290335300008 |
| 出版者 | SPRINGER |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/13022]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Zhang, Guo-Feng |
| 作者单位 | 1.Lanzhou Univ, Sch Math & Stat, Lanzhou 730000, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math & Sci Engn Comp, Beijing 100190, Peoples R China |
| 推荐引用方式 GB/T 7714 | Zhang, Guo-Feng,Ren, Zhi-Ru,Zhou, Yuan-Yuan. On HSS-based constraint preconditioners for generalized saddle-point problems[J]. NUMERICAL ALGORITHMS,2011,57(2):273-287. |
| APA | Zhang, Guo-Feng,Ren, Zhi-Ru,&Zhou, Yuan-Yuan.(2011).On HSS-based constraint preconditioners for generalized saddle-point problems.NUMERICAL ALGORITHMS,57(2),273-287. |
| MLA | Zhang, Guo-Feng,et al."On HSS-based constraint preconditioners for generalized saddle-point problems".NUMERICAL ALGORITHMS 57.2(2011):273-287. |
入库方式： OAI收割
来源：数学与系统科学研究院
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