| 非线性规划中的增广拉格朗日函数与近似最优解 |
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| 引用本文： | 陈哲.非线性规划中的增广拉格朗日函数与近似最优解[J].重庆工商大学学报(自然科学版),2006,23(3):215-218. |
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| 作者姓名： | 陈哲 |
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| 作者单位： | 重庆师范大学数学与计算机科学学院,重庆400047 |
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| 基金项目： | 国家自然科学基金(10471159) |
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| 摘 要： | 介绍了几种近似最优解和增广拉格朗日函数,建立了基于增广拉格朗日函数的对偶映射和相应的对偶问题,讨论了增广拉格朗日函数的几种近似解和原问题的几种近似解的关系,得到的结果推广了一些已有的结论.
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| 关 键 词： | 增广拉格朗日函数 近似最优解 非线性规划 Ekeland变分原理 |
| 文章编号： | 1672-058X（2006）03-0215-04 |
| 收稿时间： | 2006-03-13 |
| 修稿时间： | 2006-03-132006-04-15 |
Augmented Lagrangian function and approximate optimal solutions in nonlinear programming |
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| CHEN Zhe.Augmented Lagrangian function and approximate optimal solutions in nonlinear programming[J].Journal of Chongqing Technology and Business University:Natural Science Edition,2006,23(3):215-218. |
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| Authors: | CHEN Zhe |
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| Institution: | Department of Mathematics and Computer Science, Chongqing Normal University, Chongqing 400047, China |
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| Abstract: | In this paper,some approximate optimal solutions and an augmented Lagrangian function in nonlinear programming were introduced,duality map and duality problems based on the augmented Lagrangian function were established, relationship between the approximate optimal solutions of augmented Lagrangian function and primal problem was discussed.Our results improve and generalize some known results. |
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