| 来源类型 | Monograph (IIASA Working Paper) |
| 规范类型 | 论文 |
| Conditions for Optimality and Strong Stability in Nonlinear Programs without assuming Twice Differentiability of Data. | |
| Klatte D; Kummer B; Walzebok R | |
| 发表日期 | 1989 |
| 出版者 | IIASA, Laxenburg, Austria: WP-89-089 |
| 出版年 | 1989 |
| 语种 | 英语 |
| 摘要 | The present paper is concerned with optimization problems in which the data are differentiable functions having a continuous or locally Lipschitzian gradient mapping. Its main purpose is to develop second-order sufficient conditions for a stationary solution to a program with C^{1,1} data to be a strict local minimizer or to be a local minimizer which is even strongly stable with respect to certain perturbations of the data. It turns out that some concept of a set-valued directional derivative of a Lipschitzian mapping is a suitable tool to extend well-known results in the case of programs with twice differentiable data to more general situations. The local minimizers being under consideration have to satisfy the Mangasarian-Fromovitz CQ. An application to iterated local minimization is sketched. |
| 主题 | Adaption and Optimization (ADO) |
| URL | http://pure.iiasa.ac.at/id/eprint/3255/ |
| 来源智库 | International Institute for Applied Systems Analysis (Austria) |
| 资源类型 | 智库出版物 |
| 条目标识符 | http://119.78.100.153/handle/2XGU8XDN/123682 |
| 推荐引用方式 GB/T 7714 | Klatte D,Kummer B,Walzebok R. Conditions for Optimality and Strong Stability in Nonlinear Programs without assuming Twice Differentiability of Data.. 1989. |
| 条目包含的文件 | ||||||
| 文件名称/大小 | 资源类型 | 版本类型 | 开放类型 | 使用许可 | ||
| WP-89-089.pdf（1206KB） | 智库出版物 | 限制开放 | CC BY-NC-SA | 浏览 | ||
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