| Farkas引理及其应用 |
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| 引用本文： | 李康弟.Farkas引理及其应用[J].上海电力学院学报,2012,28(2):193-197. |
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| 作者姓名： | 李康弟 |
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| 作者单位： | 上海电力学院数理学院,上海,200090 |
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| 摘 要： | 由凸集分离定理引出了Farkas引理,进而给出了3个择一性定理,并运用Farkas引理和择一性定理,证明了优化中的KT定理、可行域算法中的KT条件、广义优化中的Tucker引理和博弈论中的Minmax定理.
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| 关 键 词： | 凸集分离定理 Farkas引理 择一性定理 |
| 收稿时间： | 2011/12/15 0:00:00 |
Farkas Lemma and Its Application |
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| LI Kang-di.Farkas Lemma and Its Application[J].Journal of Shanghai University of Electric Power,2012,28(2):193-197. |
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| Authors: | LI Kang-di |
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| Affiliation: | LI Kang-di (School of Mathematics and Physics,Shanghai University of Electric Power,Shanghai 200090,China) |
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| Abstract: | The Farkas lemma is introduced by using convex separation theorem,three alternative theorems are given by using Farkas lemma.The proofs of KT theorma in optimization,KT condition in feasible algorithm,Tucker lemma in generalied optimization and Minmax theorem in games are given. |
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| Keywords: | convex separation theorem Farkas lemma alterative theorem |
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