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| 一类min-max-min问题的区间算法 | |
| 引用本文： | 陈美蓉,蒋娟,曹德欣. 一类min-max-min问题的区间算法[J]. 应用数学与计算数学学报, 2006, 20(2): 55-63 |
| 作者姓名： | 陈美蓉 蒋娟 曹德欣 |
| 作者单位： | 中国矿业大学理学院,江苏,徐州,221008 |
| 基金项目： | 中国矿业大学校科研和教改项目;中国矿业大学校科研和教改项目 |
| 摘 要： | 讨论了一类由一阶连续可微函数构成的无约束min-max-min问题．通过构造目标函数的区间扩张、无解区域删除原则，建立了求解min-max-min问题的区间算法，证明了算法的收敛性，给出了数值算例．理论证明和数值结果表明方法是可靠和有效的． |
| 关 键 词： | 非光滑规划 min-max-min问题 区间算法 |
| 收稿时间： | 2005-01-17 |
| 修稿时间： | 2005-01-17 |
Interval Algorithm for a Class of Min-Max-Min Problems |
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| Chen Meirong,Jiang juan,Cao Dexin. Interval Algorithm for a Class of Min-Max-Min Problems[J]. Communication on Applied Mathematics and Computation, 2006, 20(2): 55-63 | |
| Authors: | Chen Meirong Jiang juan Cao Dexin |
| Abstract: | In this paper, we describe some interval algorithms for a class of unconstrained Min- Max-Min problems, in which the objective functions are in Ci. By setting up an interval extension of objective function and the region deletion test rules, an interval algorithm was established. The convergence of algorithm was proven. Numerical results are presented and show that the algorithms are efficient. |
| Keywords: | nonsmooth programming Min-Max-Min problem interval algorithm |
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