Convergence of line search methods for unconstrained optimization
文献类型：期刊论文
| 作者 | Shi, ZJ |
| 刊名 | APPLIED MATHEMATICS AND COMPUTATION
 |
| 出版日期 | 2004-10-05 |
| 卷号 | 157期号:2页码:393-405 |
| 关键词 | unconstrained minimization line search method convergence |
| ISSN号 | 0096-3003 |
| DOI | 10.1016/j.amc.2003.08.058 |
| 英文摘要 | Line search methods are traditional and successful methods for solving unconstrained optimization problems. Its convergence has attracted more attention in recent years. In this paper we analyze the general results on convergence of line search methods with seven line search rules. It is clarified that the search direction plays a main role in these methods and that step-size guarantees the global convergence in some cases. It is also proved that many line search methods have same convergence property. These convergence results can enable us to design powerful, effective, and stable algorithms in practice. Finally, a class of special line search methods is investigated. (C) 2003 Elsevier Inc. All rights reserved. |
| 语种 | 英语 |
| WOS记录号 | WOS:000224276900009 |
| 出版者 | ELSEVIER SCIENCE INC |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/19347]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Shi, ZJ |
| 作者单位 | 1.Qufu Normal Univ, Coll Operat Res & Management, Shandong 276826, Peoples R China 2.Chinese Acad Sci, Inst Computat Math & Sci Engn Comp, Beijing 100080, Peoples R China |
| 推荐引用方式 GB/T 7714 | Shi, ZJ. Convergence of line search methods for unconstrained optimization[J]. APPLIED MATHEMATICS AND COMPUTATION,2004,157(2):393-405. |
| APA | Shi, ZJ.(2004).Convergence of line search methods for unconstrained optimization.APPLIED MATHEMATICS AND COMPUTATION,157(2),393-405. |
| MLA | Shi, ZJ."Convergence of line search methods for unconstrained optimization".APPLIED MATHEMATICS AND COMPUTATION 157.2(2004):393-405. |
入库方式： OAI收割
来源：数学与系统科学研究院
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