A trust region method for a semismooth reformulation to variational inequality problems
文献类型：期刊论文
| 作者 | Yang, YF; Li, DH; Zhou, SZ |
| 刊名 | OPTIMIZATION METHODS & SOFTWARE
 |
| 出版日期 | 2000 |
| 卷号 | 14期号:1-2页码:139-157 |
| 关键词 | semismoothness trust region method variational inequality problem global convergence superlinear convergence |
| ISSN号 | 1055-6788 |
| 英文摘要 | We present a well defined trust region method for solving the KKT system of a variational inequality problem based on its semismooth reformulation. The proposed method solves subproblems inexactly. We show that the proposed method converges globally without monotone assumption on the problems, and the convergent rate is superlinear/quadratic even if strict complementarity does not hold at the solution. Moreover, some numerical results are presented. |
| WOS研究方向 | Computer Science ; Operations Research & Management Science ; Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000165321100008 |
| 出版者 | GORDON BREACH SCI PUBL LTD |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/15083]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 作者单位 | 1.Hunan Univ, Dept Appl Math, Changsha 410082, Peoples R China 2.Acad Sinica, State Key Lab Sci & Engn Comp, Beijing, Peoples R China |
| 推荐引用方式 GB/T 7714 | Yang, YF,Li, DH,Zhou, SZ. A trust region method for a semismooth reformulation to variational inequality problems[J]. OPTIMIZATION METHODS & SOFTWARE,2000,14(1-2):139-157. |
| APA | Yang, YF,Li, DH,&Zhou, SZ.(2000).A trust region method for a semismooth reformulation to variational inequality problems.OPTIMIZATION METHODS & SOFTWARE,14(1-2),139-157. |
| MLA | Yang, YF,et al."A trust region method for a semismooth reformulation to variational inequality problems".OPTIMIZATION METHODS & SOFTWARE 14.1-2(2000):139-157. |
入库方式： OAI收割
来源：数学与系统科学研究院
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