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非线性规划问题的二阶对称对偶性
引用本文:金爱莲. 非线性规划问题的二阶对称对偶性[J]. 数学理论与应用, 2009, 0(3): 35-39
作者姓名:金爱莲
作者单位:延边大学基础医学院数理与计算机教研部,延吉133002
摘    要:本文讨论了二阶凸和二阶凹条件下的二阶对称对偶问题,并利用有效性和真有效性概念证明了弱对偶、强对偶、逆对偶及自对偶定理。

关 键 词:对称对偶性  二阶凸和二阶凹  非线性规划  有效性

Second Order Symmetric Duality for Nonlinear Programming
Jin Ailian. Second Order Symmetric Duality for Nonlinear Programming[J]. Mathematical Theory and Applications, 2009, 0(3): 35-39
Authors:Jin Ailian
Affiliation:Jin Ailian (Department of Mathematical Physics & Computer Science, College of Basic Medical Sciences, Yanbian University, Yanji, 133002)
Abstract:The aim of this paper is to consider second order symmetric duality for nonlinear problem for the second order convex and second order concave, and using concept of the efficiency and the proper efficiency we prove weak, strong, converse and self duality theorems.
Keywords:Symmetric duality Second order convex and second order concave Nonliner problem Efficiency
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