Predictor-corrector smoothing Newton method, based on a new smoothing function, for solving the nonlinear complementarity problem with a P-0 function
文献类型：期刊论文
| 作者 | Huang, ZH; Han, J; Chen, Z |
| 刊名 | JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS
 |
| 出版日期 | 2003-04-01 |
| 卷号 | 117期号:1页码:39-68 |
| 关键词 | nonlinear complementarity problems boundedness of iteration sequence predictor-corrector smoothing Newton method global linear convergence local superlinear convergence |
| ISSN号 | 0022-3239 |
| 英文摘要 | By smoothing a perturbed minimum function, we propose in this paper a new smoothing function. The existence and continuity of a smooth path for solving the nonlinear complementarity problem (NCP) with a P-0 function are discussed. We investigate the boundedness of the iteration sequence generated by noninterior continuation/ smoothing methods under the assumption that the solution set of the NCP is nonempty and bounded. Based on the new smoothing function, we present a predictor-corrector smoothing Newton algorithm for solving the NCP with a P-0 function, which is shown to be globally linearly and locally superlinearly convergent under suitable assumptions. Some preliminary computational results are reported. |
| WOS研究方向 | Operations Research & Management Science ; Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000182660700003 |
| 出版者 | KLUWER ACADEMIC/PLENUM PUBL |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/18115]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Huang, ZH |
| 作者单位 | 1.Chinese Acad Sci, Acad Math & Syst Sci, Inst Appl Math, Beijing, Peoples R China 2.Suzhou Univ, Dept Math, Suzhou 215006, Jiangsu Prov, Peoples R China |
| 推荐引用方式 GB/T 7714 | Huang, ZH,Han, J,Chen, Z. Predictor-corrector smoothing Newton method, based on a new smoothing function, for solving the nonlinear complementarity problem with a P-0 function[J]. JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS,2003,117(1):39-68. |
| APA | Huang, ZH,Han, J,&Chen, Z.(2003).Predictor-corrector smoothing Newton method, based on a new smoothing function, for solving the nonlinear complementarity problem with a P-0 function.JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS,117(1),39-68. |
| MLA | Huang, ZH,et al."Predictor-corrector smoothing Newton method, based on a new smoothing function, for solving the nonlinear complementarity problem with a P-0 function".JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS 117.1(2003):39-68. |
入库方式： OAI收割
来源：数学与系统科学研究院
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