A smoothing Levenberg-Marquardt method for NCP
文献类型：期刊论文
| 作者 | Zhang, Ju-liang; Zhang, Xiangsun
|
| 刊名 | APPLIED MATHEMATICS AND COMPUTATION
 |
| 出版日期 | 2006-07-15 |
| 卷号 | 178期号:2页码:212-228 |
| 关键词 | NCP Levenberg-Marquardt method smoothing technique P-0 matrix superlinear convergence |
| ISSN号 | 0096-3003 |
| DOI | 10.1016/j.amc.2005.11.036 |
| 英文摘要 | In this paper, we convert the nonlinear complementarity problems to an equivalent smooth nonlinear equation system by using smoothing technique. Then we use Levenberg-Marquardt type method to solve the nonlinear equation system. The method has the following merits: (i) any cluster point of the iteration sequence is a solution of the P-0 - NCP; (ii) it generates a bounded sequence if the P-0 - NCP has a nonempty and bounded solution set; (iii) if the generalized Jacobian is nonsingular at a solution point, then the whole sequence converges to the (unique) solution of the P-0 - NCP superlinearly; (iv) for the P-0 - NCP, if an accumulation point of the iteration sequence satisfies strict complementary condition, then the whole sequence converges to this accumulation point superlinearly. (c) 2005 Elsevier Inc. All rights reserved. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000240354700003 |
| 出版者 | ELSEVIER SCIENCE INC |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/3440]  |
| 专题 | 应用数学研究所 |
| 通讯作者 | Zhang, Ju-liang |
| 作者单位 | 1.Grad Univ, Chinese Acad Sci, Res Ctr Data Technol & Knowledge Econ, Beijing 100080, Peoples R China 2.Chinese Acad Sci, Inst Appl Math, Acad Math & Syst Sci, Beijing 100080, Peoples R China |
| 推荐引用方式 GB/T 7714 | Zhang, Ju-liang,Zhang, Xiangsun. A smoothing Levenberg-Marquardt method for NCP[J]. APPLIED MATHEMATICS AND COMPUTATION,2006,178(2):212-228. |
| APA | Zhang, Ju-liang,&Zhang, Xiangsun.(2006).A smoothing Levenberg-Marquardt method for NCP.APPLIED MATHEMATICS AND COMPUTATION,178(2),212-228. |
| MLA | Zhang, Ju-liang,et al."A smoothing Levenberg-Marquardt method for NCP".APPLIED MATHEMATICS AND COMPUTATION 178.2(2006):212-228. |
入库方式： OAI收割
来源：数学与系统科学研究院
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