求解非线性P_0互补问题的填充函数法  

A filled function method for nonlinear P_0 complementarity problems

作　　者：袁柳洋[1] 唐秋华[2] 贾世会[1] 

机构地区：[1]武汉科技大学理学院,湖北武汉430065 [2]武汉科技大学机械自动化学院,湖北武汉430081

出　　处：《武汉科技大学学报》2016年第3期236-240,共5页Journal of Wuhan University of Science and Technology

基　　金：国家自然科学基金青年科学基金项目(11401450;11401126);国家自然科学基金面上项目(51275366)

摘　　要：首先利用光滑Fischer-Burmeister函数,将非线性P_0互补问题转化成相应的约束优化问题;然后对此约束优化问题构造出一种新的无参数的填充函数,讨论了该填充函数的有关性质,并提出了求解非线性P0互补问题的填充函数算法。通过几个数值算例验证了该算法的有效性。Firstly,the nonlinear P0 complementarity problem is converted into a corresponding constrained optimization problem by using the smoothing Fischer-Burmeister function.Subsequently,a novel parameter-free filled function is constructed for the constrained optimization problem,and the function＇s properties are also discussed.A filled function algorithm is proposed to solve the nonlinear P_0 complementarity problem,and its validity is verified by several numerical examples.

关 键 词：非线性互补问题 P0函数 FISCHER-BURMEISTER函数 填充函数 局部极小点 全局极小点 

分 类 号：O224[理学—运筹学与控制论]