| 关于半无限规划的对偶间隙 |
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| 引用本文： | 李师正.关于半无限规划的对偶间隙[J].数学物理学报(A辑),2000,20(1):1-5. |
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| 作者姓名： | 李师正 |
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| 作者单位： | 山东师范大学!济南250014 |
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| 基金项目： | 国家自然科学基金!19271053 |
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| 摘 要： | 该文对半无限凸规划（Ｐ）提出了一个对偶问题（Ｄ１），证明了（Ｄ１）与（Ｐ）无对偶间隙当且仅当Ｌａｇｒａｎｇｅ对偶问题（Ｄ）与（Ｐ）之间无对偶间隙，作者还利用方向导数给出一个新的刻划鞍点准则的方法。
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| 关 键 词： | 半无限规划 对偶问题 对偶间隙 方向导数 次微分 |
On Dual Gap of Semi-Infinite Programming |
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| Li Shizheng.On Dual Gap of Semi-Infinite Programming[J].Acta Mathematica Scientia,2000,20(1):1-5. |
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| Authors: | Li Shizheng |
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| Abstract: | This paper proposes a dual problem (D1) for a semi-infinite convex programming problem (P). It is proved that a sufficient and necessary condition of no dual gap between (D1) and (P) is no dual gap between (P) and Lagrange's dual problem(D) of (P).The saddle point criterion of (P) is a characterized by using the directional derivative. |
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| Keywords: | Semi-infinite programming Dual problem Dual gap Directional derivative Subdifferential |
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