Subspace methods for large scale nonlinear equations and nonlinear least squares
文献类型：期刊论文
| 作者 | Yuan, Ya-Xiang
|
| 刊名 | OPTIMIZATION AND ENGINEERING
 |
| 出版日期 | 2009-06-01 |
| 卷号 | 10期号:2页码:207-218 |
| 关键词 | Nonlinear equations Nonlinear least squares Subspace Trust region Line search |
| ISSN号 | 1389-4420 |
| DOI | 10.1007/s11081-008-9064-0 |
| 英文摘要 | In this paper, we study large scale nonlinear systems of equations and nonlinear least square problems. We present subspace methods for solving these two special optimization problems. The subspace methods have the characteristic to force the next iteration in a low dimensional subspace. The main technique is to construct subproblems in low dimensions so that the computation cost in each iteration can be reduced comparing to standard approaches. The subspace approach offers a possible way to handle large scale optimization problems which are now attracting more and more attention. Actually, quite a few known techniques can be viewed as subspace methods, such as conjugate gradient method, limited memory quasi-Newton method, projected gradient method, and null space method. |
| 语种 | 英语 |
| WOS记录号 | WOS:000266497700005 |
| 出版者 | SPRINGER |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/7370]  |
| 专题 | 计算数学与科学工程计算研究所 |
| 通讯作者 | Yuan, Ya-Xiang |
| 作者单位 | Chinese Acad Sci, State Key Lab Sci & Engn Comp, ICMSEC, AMSS, Beijing 100190, Peoples R China |
| 推荐引用方式 GB/T 7714 | Yuan, Ya-Xiang. Subspace methods for large scale nonlinear equations and nonlinear least squares[J]. OPTIMIZATION AND ENGINEERING,2009,10(2):207-218. |
| APA | Yuan, Ya-Xiang.(2009).Subspace methods for large scale nonlinear equations and nonlinear least squares.OPTIMIZATION AND ENGINEERING,10(2),207-218. |
| MLA | Yuan, Ya-Xiang."Subspace methods for large scale nonlinear equations and nonlinear least squares".OPTIMIZATION AND ENGINEERING 10.2(2009):207-218. |
入库方式： OAI收割
来源：数学与系统科学研究院
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