A Trust Region Algorithm for Solving Bilevel Programming Problems
文献类型：期刊论文
| 作者 | Liu Guoshan1; Xu Shiqin1; Han Jiye2 |
| 刊名 | ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES
 |
| 出版日期 | 2013 |
| 卷号 | 29期号:3页码:491-498 |
| 关键词 | NONSMOOTH OPTIMIZATION CONVERGENCE Bilevel programming problem trust region algorithm global convergence mathematical program with equilibrium constraints stationary point |
| ISSN号 | 0168-9673 |
| 其他题名 | A Trust Region Algorithm for Solving Bilevel Programming Problems |
| 英文摘要 | In this paper, we present a new trust region algorithm for a nonlinear bilevel programming problem by solving a series of its linear or quadratic approximation subproblems. For the nonlinear bilevel programming problem in which the lower level programming problem is a strongly convex programming problem with linear constraints, we show that each accumulation point of the iterative sequence produced by this algorithm is a stationary point of the bilevel programming problem. |
| 资助项目 | [National Natural Science Foundation of China] |
| 语种 | 英语 |
| CSCD记录号 | CSCD:4851584 |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/53389]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 作者单位 | 1.中国人民大学 2.中国科学院数学与系统科学研究院 |
| 推荐引用方式 GB/T 7714 | Liu Guoshan,Xu Shiqin,Han Jiye. A Trust Region Algorithm for Solving Bilevel Programming Problems[J]. ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES,2013,29(3):491-498. |
| APA | Liu Guoshan,Xu Shiqin,&Han Jiye.(2013).A Trust Region Algorithm for Solving Bilevel Programming Problems.ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES,29(3),491-498. |
| MLA | Liu Guoshan,et al."A Trust Region Algorithm for Solving Bilevel Programming Problems".ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES 29.3(2013):491-498. |
入库方式： OAI收割
来源：数学与系统科学研究院
浏览0
下载0
收藏0
其他版本
除非特别说明，本系统中所有内容都受版权保护，并保留所有权利。