A globally convergent Newton-GMRES method for large sparse systems of nonlinear equations
文献类型：期刊论文
| 作者 | An, Heng-Bin; Bai, Zhong-Zhi
|
| 刊名 | APPLIED NUMERICAL MATHEMATICS
 |
| 出版日期 | 2007-03-01 |
| 卷号 | 57期号:3页码:235-252 |
| 关键词 | systems of nonlinear equations inexact Newton method GMRES global convergence |
| ISSN号 | 0168-9274 |
| DOI | 10.1016/j.apnum.2006.02.007 |
| 英文摘要 | The inexact Newton with backtracking (INB) method is a powerful tool for solving large sparse systems of nonlinear equations. In particular, if the generalized minimal residual (GMRES) method is used to solve the Newton equations, then the Newton-GMRES with backtracking (NGB) method is obtained. In this paper, we present a new class of globally convergent Newton-GMRES methods. In these methods, the typical backtracking strategy is augmented with a new strategy that is invoked when the inexact Newton direction is not satisfactory. Global convergence properties of the proposed methods are established and numerical results are provided, showing that the new method, called the Newton-GMRES with quasi-conjugate-gradient backtracking (NGQCGB), is very robust and effective. (c) 2006 Published by Elsevier B.V. on behalf of IMACS. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000244648600001 |
| 出版者 | ELSEVIER SCIENCE BV |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/4070]  |
| 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 | Chinese Acad Sci, State Key Lab Sci Engn Comp, Inst Computat Math & Sci Engn Comp, Acad Math & Syst Sci, Beijing 100080, Peoples R China |
| 推荐引用方式 GB/T 7714 | An, Heng-Bin,Bai, Zhong-Zhi. A globally convergent Newton-GMRES method for large sparse systems of nonlinear equations[J]. APPLIED NUMERICAL MATHEMATICS,2007,57(3):235-252. |
| APA | An, Heng-Bin,&Bai, Zhong-Zhi.(2007).A globally convergent Newton-GMRES method for large sparse systems of nonlinear equations.APPLIED NUMERICAL MATHEMATICS,57(3),235-252. |
| MLA | An, Heng-Bin,et al."A globally convergent Newton-GMRES method for large sparse systems of nonlinear equations".APPLIED NUMERICAL MATHEMATICS 57.3(2007):235-252. |
入库方式： OAI收割
来源：数学与系统科学研究院
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