一类连续minimax问题的区间极大熵算法  

Interval Maximum-entropy Algorithm for a Class of Continuous Minimax Promlems

作　　者：蒋娟[1] 陈美蓉[1] 

机构地区：[1]中国矿业大学理学院,江苏徐州221008

出　　处：《石河子大学学报（自然科学版）》2006年第3期379-382,共4页Journal of Shihezi University(Natural Science)

摘　　要：讨论了目标函数为C1类函数的连续型minimax问题的区间极大熵算法。通过构造目标函数的极大熵函数及其区间扩张,利用区域二分原理和无解区域的删除原则,建立了求解连续型minimax问题的区间极大熵算法,证明了算法的收敛性,给出了数值算例。数值结果表明,其算法是可靠和有效的。In this paper, interval maximum-entropy method for continuous minimax problems is described, in which the objective functions are in C^1. By structuring the interval extension of the maximum-entropy function of bjection function, using bisection rules and region deletion test rules, interval maximum-entropy algorithm for solving continuous minimax problems is established. The method is proved to be reliable and efficient with numerical results.

关 键 词：区间算法 极大熵函数 连续minimax问题 区域删除检验原则 

分 类 号：O242.29[理学—计算数学]