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有约束极大极小优化问题的修正Lagrangian算法
Modified Lagrangian Function Algorithm for Constrained Minimax Problems
【摘要】 对于有不等式约束的极大极小优化问题,本文构造了一个修正的Lagrangian函数并分析了其在一般条件下的性质,建立了与之对应的修正Lagrangian算法.最后对文献中的几个问题给出了数值计算结果验证了算法.
【Abstract】 This paper constructs a modified Lagrangian function for minimax problems with inequality constraints and analyzes its properties under usual conditions. Based on the theoretical properties of the modified Lagrangian function, a corresponding algorithm is established. The numerical results are reported to show the validity of the algorithm.
【关键词】 修正Lagrangian函数;
修正Lagrangian算法;
约束极大极小优化问题;
【Key words】 modified Lagrangian function; modified Lagrangian function algorithm; constrained minimax problems;
【Key words】 modified Lagrangian function; modified Lagrangian function algorithm; constrained minimax problems;
【基金】 国家自然科学基金资助项目(30570611)
- 【文献出处】 武汉大学学报(理学版) ,Journal of Wuhan University(Natural Science Edition) , 编辑部邮箱 ,2008年01期
- 【分类号】O224
- 【被引频次】2
- 【下载频次】153