KMS Of Academy of mathematics and systems sciences, CAS
| Subspace methods for large scale nonlinear equations and nonlinear least squares | |
Yuan, Ya-Xiang
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| 2009-06-01 | |
| Source Publication | OPTIMIZATION AND ENGINEERING
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| ISSN | 1389-4420 |
| Volume | 10Issue:2Pages:207-218 |
| Abstract | 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. |
| Keyword | Nonlinear equations Nonlinear least squares Subspace Trust region Line search |
| DOI | 10.1007/s11081-008-9064-0 |
| Language | 英语 |
| WOS Research Area | Engineering ; Operations Research & Management Science ; Mathematics |
| WOS Subject | Engineering, Multidisciplinary ; Operations Research & Management Science ; Mathematics, Interdisciplinary Applications |
| WOS ID | WOS:000266497700005 |
| Publisher | SPRINGER |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/7371 |
| Collection | 计算数学与科学工程计算研究所 |
| Corresponding Author | Yuan, Ya-Xiang |
| Affiliation | Chinese Acad Sci, State Key Lab Sci & Engn Comp, ICMSEC, AMSS, Beijing 100190, Peoples R China |
| Recommended Citation 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. |
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