The non-interior continuation methods for solving the P-0 function nonlinear complementarity problem
文献类型：期刊论文
| 作者 | Huang, ZH; Han, J; Xu, DC; Zhang, LP |
| 刊名 | SCIENCE IN CHINA SERIES A-MATHEMATICS PHYSICS ASTRONOMY
 |
| 出版日期 | 2001-09-01 |
| 卷号 | 44期号:9页码:1107-1114 |
| 关键词 | nonlinear complementarity problem non-interior continuation method P-0 function boundedness of the iteration sequence |
| ISSN号 | 1006-9283 |
| 英文摘要 | In this paper, we propose a new smooth function that possesses a property not satisfied by the existing smooth functions. Based on this smooth function, we discuss the existence and continuity of the smoothing path for solving the P. function nonlinear complementarity problem (NCP). Using the characteristics of the new smooth function, we investigate the boundedness of the iteration sequence generated by the non-interior continuation methods for solving the PO function NCP under the assumption that the solution set of the NCP is nonempty and bounded. We show that the assumption that the solution set of the NCP is nonempty and bounded is weaker than those required by a few existing continuation methods for solving the NCP. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000174374500003 |
| 出版者 | SCIENCE CHINA PRESS |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/16662]  |
| 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 100080, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Inst Appl Math, Beijing 100080, Peoples R China 3.Acad Math & Syst Sci, Inst Computat Math & Sci Engn Comp, Chinese Acad Sci, Beijing 100080, Peoples R China |
| 推荐引用方式 GB/T 7714 | Huang, ZH,Han, J,Xu, DC,et al. The non-interior continuation methods for solving the P-0 function nonlinear complementarity problem[J]. SCIENCE IN CHINA SERIES A-MATHEMATICS PHYSICS ASTRONOMY,2001,44(9):1107-1114. |
| APA | Huang, ZH,Han, J,Xu, DC,&Zhang, LP.(2001).The non-interior continuation methods for solving the P-0 function nonlinear complementarity problem.SCIENCE IN CHINA SERIES A-MATHEMATICS PHYSICS ASTRONOMY,44(9),1107-1114. |
| MLA | Huang, ZH,et al."The non-interior continuation methods for solving the P-0 function nonlinear complementarity problem".SCIENCE IN CHINA SERIES A-MATHEMATICS PHYSICS ASTRONOMY 44.9(2001):1107-1114. |
入库方式： OAI收割
来源：数学与系统科学研究院
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