| Global Sufficient Conditions for Nonconvex Cubic Minimization Problem with Box Constraints | |
| Wang, Yanjun; Liang, Zhian; Shen, Linsong | |
| 2015 | |
| 关键词 | Cubic minimization problem Global sufficient conditions Box constraints |
| 卷号 | 95 |
| DOI | 10.1007/978-3-319-08377-3_4 |
| 页码 | 32-39 |
| 英文摘要 | In this paper, we focus on deriving some sufficient conditions for global solutions to cubic minimization problems with box constraints. Our main tool is an extension of the global subdifferential, L-normal cone approach, developed by Jeyakumar et al. (J. Glob. Optim., 2007; Math. Program. Ser. A 110, 2007), and underestimator functions. By applying these tools to characteristic global solutions, we provide some sufficient conditions for cubic programming problem with box constraints. An example is given to demonstrate that the sufficient conditions can be used effectively for identifying global minimizers of certain cubic minimization problems with box constraints. |
| 会议录出版者 | SPRINGER |
| 会议录出版地 | 233 SPRING STREET, NEW YORK, NY 10013, UNITED STATES |
| 语种 | 英语 |
| WOS研究方向 | Mathematics |
| WOS记录号 | WOS:000357801400004 |
| 内容类型 | 会议论文 |
| 源URL | [http://10.2.47.112/handle/2XS4QKH4/3045]  |
| 专题 | 上海财经大学 |
| 作者单位 | Shanghai Univ Finance & Econ, Dept Appl Math, Shanghai 200433, Peoples R China |
| 推荐引用方式 GB/T 7714 | Wang, Yanjun,Liang, Zhian,Shen, Linsong. Global Sufficient Conditions for Nonconvex Cubic Minimization Problem with Box Constraints[C]. 见:. |
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