| 非线性规划的对称对偶性 |
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| 引用本文： | 张平,杨新民.非线性规划的对称对偶性[J].成都理工大学学报(自然科学版),2001,28(3):323-326. |
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| 作者姓名： | 张平 杨新民 |
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| 作者单位： | 1. 成都理工大学应用数学系,
2. 重庆师范学院 |
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| 摘 要： | 提出了一个非线性规划的对称对偶模型 ,它统一了非线性规划中两类对称模型。在不变凸条件下证明了该对称对偶模型具有弱对偶性、强对偶性和逆对偶性
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| 关 键 词： | 非线性规划 对称对偶模型 对偶性定理 不变凸性 |
| 文章编号： | 1005-9539(2001)03-0323-04 |
| 修稿时间： | 2001年2月16日 |
Symmetry and duality properties of nonlinear layout |
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| ZHANG Ping ,YANG Xin min.Symmetry and duality properties of nonlinear layout[J].Journal of Chengdu University of Technology: Sci & Technol Ed,2001,28(3):323-326. |
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| Authors: | ZHANG Ping YANG Xin min |
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| Institution: | ZHANG Ping 1,YANG Xin min 2 |
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| Abstract: | In this paper, a new symmetry and duality model on nonlinear programming is put forward, which is unification of two kind of symmetry and duality models in nonlinear programming. Under the condition of invariant convex, it is proved that the model possesses weak duality, strong duality and inverse duality. The authors discuss the relation between the new model and the other kinds of symmetry and duality model under the diversified especial conditions. The results show the new model is more comprehensive and unity. |
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| Keywords: | nonlinear programming symmetry and duality model duality theorem invariant convex |
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