KMS Of Academy of mathematics and systems sciences, CAS
| The preconditioned iterative methods with variable parameters for saddle point problem | |
| Huang, Na1,2,3; Ma, Chang-Feng1,2 | |
| 2018-10-01 | |
| Source Publication | APPLIED MATHEMATICS AND COMPUTATION
 |
| ISSN | 0096-3003 |
| Volume | 334Pages:152-167 |
| Abstract | In this paper, by transforming the original problem equivalently, we propose a new preconditioned iterative method for solving saddle point problem. We call the new method as PTU ( preconditioned transformative Uzawa) method. And we study the convergence of the PTU method under suitable restrictions on the iteration parameters. Moreover, we show the choices of the optimal parameters and the spectrum of the preconditioned matrix deriving from the PTU method. Based on the PTU iterative method, we propose another iterative method - nonlinear inexact PTU method - for solving saddle point problem. We also prove its convergence and study the choices of the optimal parameters. In addition, we present some numerical results to illustrate the behavior of the considered algorithms. (C) 2018 Elsevier Inc. All rights reserved. |
| Keyword | Saddle point problem Preconditioned iterative method Variable parameters Optimal parameter Convergence |
| DOI | 10.1016/j.amc.2018.03.118 |
| Language | 英语 |
| Funding Project | National Postdoctoral Program for Innovative Talents[BX201600182] ; China Postdoctoral Science Foundation[2016M600141] ; Fujian Natural Science Foundation[2016J01005] ; Fujian Natural Science Foundation[2015J01578] |
| WOS Research Area | Mathematics |
| WOS Subject | Mathematics, Applied |
| WOS ID | WOS:000432790300011 |
| Publisher | ELSEVIER SCIENCE INC |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/30378 |
| Collection | 中国科学院数学与系统科学研究院 |
| Corresponding Author | Ma, Chang-Feng |
| Affiliation | 1.Fujian Normal Univ, Coll Math & Informat, Fuzhou 350117, Fujian, Peoples R China 2.Fujian Normal Univ, FJKLMAA, Fuzhou 350117, Fujian, Peoples R China 3.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China |
| Recommended Citation GB/T 7714 | Huang, Na,Ma, Chang-Feng. The preconditioned iterative methods with variable parameters for saddle point problem[J]. APPLIED MATHEMATICS AND COMPUTATION,2018,334:152-167. |
| APA | Huang, Na,&Ma, Chang-Feng.(2018).The preconditioned iterative methods with variable parameters for saddle point problem.APPLIED MATHEMATICS AND COMPUTATION,334,152-167. |
| MLA | Huang, Na,et al."The preconditioned iterative methods with variable parameters for saddle point problem".APPLIED MATHEMATICS AND COMPUTATION 334(2018):152-167. |
| Files in This Item: | There are no files associated with this item. | |||||
Items in the repository are protected by copyright, with all rights reserved, unless otherwise indicated.
Edit Comment