求非光滑优化全局解的一个改进的填充函数法  

A MODIFIED FILLED FUNCTION METHOD FOR SOLVING THE GLOBAL SOLUTIONS OF THE NONSMOOTH OPTIMIZATION PROBLEM

作　　者：储丹华[1] 曹德欣[1] 吴健波[1] 

机构地区：[1]中国矿业大学理学院,徐州221008

出　　处：《南京大学学报（数学半年刊）》2008年第1期122-130,共9页Journal of Nanjing University(Mathematical Biquarterly)

摘　　要：本文考虑优化问题min form x∈Ω F(x),其中F为弱半光滑函数.基于非光滑分析理论,构造了一类求解上述问题的新的单参数填充函数,改进了原有结果.最后进行了编程和数值实验,结果表明该方法是可靠的和有效的.In this paper,the optimization problem min form x∈Ω F(x)is assumed to be considered,in which F is weak semi-smooth function.On the basis of the theory of nonsmooth analysis,the authors construct a kind of new one-parameter filled function for solving the above problem.The existing results have been improved.Finally,the procedure and the calculating experiment are carried on.The results show that the given method is stable and reliable.

关 键 词：不可微优化 填充函数 总体极小点 

分 类 号：O224[理学—运筹学与控制论]