Variational Analysis of the Ky Fan k-norm
文献类型：期刊论文
| 作者 | Ding, Chao
|
| 刊名 | SET-VALUED AND VARIATIONAL ANALYSIS
 |
| 出版日期 | 2017-06-01 |
| 卷号 | 25期号:2页码:265-296 |
| 关键词 | Ky Fan k-norm Nondegeneracy Critical cone Second order tangent sets |
| ISSN号 | 1877-0533 |
| DOI | 10.1007/s11228-016-0378-3 |
| 英文摘要 | In this paper, we will study some variational properties of the Ky Fan k-norm theta = parallel to . parallel to((k)) of matrices, which are closed related to a class of basic nonlinear optimization problems involving the Ky Fan k-norm. In particular, for the basic nonlinear optimization problems, we will introduce the concept of nondegeneracy, strict complementarity and the critical cones associated with the generalized equations. Finally, we present the explicit formulas of the conjugate function of the parabolic second order directional derivative of oee integral, which will be referred to as the sigma term of the second order optimality conditions. The results obtained in this paper provide the necessary theoretical foundations for future work on sensitivity and stability analysis of the nonlinear optimization problems involving the Ky Fan k-norm. |
| 语种 | 英语 |
| WOS记录号 | WOS:000401354700004 |
| 出版者 | SPRINGER |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/25431]  |
| 专题 | 应用数学研究所 |
| 通讯作者 | Ding, Chao |
| 作者单位 | Chinese Acad Sci, Acad Math & Syst Sci, Inst Appl Math, Beijing, Peoples R China |
| 推荐引用方式 GB/T 7714 | Ding, Chao. Variational Analysis of the Ky Fan k-norm[J]. SET-VALUED AND VARIATIONAL ANALYSIS,2017,25(2):265-296. |
| APA | Ding, Chao.(2017).Variational Analysis of the Ky Fan k-norm.SET-VALUED AND VARIATIONAL ANALYSIS,25(2),265-296. |
| MLA | Ding, Chao."Variational Analysis of the Ky Fan k-norm".SET-VALUED AND VARIATIONAL ANALYSIS 25.2(2017):265-296. |
入库方式： OAI收割
来源：数学与系统科学研究院
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