The preconditioned iterative methods with variable parameters for saddle point problem
文献类型：期刊论文
| 作者 | Huang, Na1,2,3; Ma, Chang-Feng1,2 |
| 刊名 | APPLIED MATHEMATICS AND COMPUTATION
 |
| 出版日期 | 2018-10-01 |
| 卷号 | 334页码:152-167 |
| 关键词 | Saddle point problem Preconditioned iterative method Variable parameters Optimal parameter Convergence |
| ISSN号 | 0096-3003 |
| DOI | 10.1016/j.amc.2018.03.118 |
| 英文摘要 | 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. |
| 资助项目 | National Postdoctoral Program for Innovative Talents[BX201600182] ; China Postdoctoral Science Foundation[2016M600141] ; Fujian Natural Science Foundation[2016J01005] ; Fujian Natural Science Foundation[2015J01578] |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000432790300011 |
| 出版者 | ELSEVIER SCIENCE INC |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/30377]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Ma, Chang-Feng |
| 作者单位 | 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 |
| 推荐引用方式 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. |
入库方式： OAI收割
来源：数学与系统科学研究院
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