求解非光滑全局优化问题的单参数填充函数算法  

A New Filled Function with One Parameter for Non-Smooth Global Optimization Problem

作　　者：王伟祥 孙广磊 WANG Weixiang;SUN Guanglei(School of Mathematics,Physics and Statistics,Shanghai Polytechnic University,Shanghai 201209,China;School of Information Engineering,Henan University of Science and Technology,Luoyang 471023,Henan,China)

机构地区：[1]上海第二工业大学数理与统计学院,上海201209 [2]河南科技大学信息工程学院,洛阳471023

出　　处：《上海第二工业大学学报》2022年第3期251-255,共5页Journal of Shanghai Polytechnic University

摘　　要：提出了1个求解非光滑全局优化问题的填充函数方法。算法中构造的填充函数只包含1个参数,且此参数在迭代步骤中易调整。分析了该填充函数的一些理论性质,并提出了填充函数算法。数值计算验证了该算法的可行性。A new filled function for non-smooth global optimization is presented.The filled function contains only one parameter and could be adjusted easily during the iteration step.The analytical properties of the filled function are explored,and the filled function algorithm is designed.Several numerical results show the feasibility of the proposed algorithm.

关 键 词：非光滑全局最优化 全局极小点 单参数填充函数 非线性方程组 

分 类 号：O221[理学—运筹学与控制论]