摘要
对约束优化问题给出了一类光滑罚函数,它是根据一类光滑逼近精确罚函数的光滑函数而提出来的,并基于这类罚函数给出了罚算法.在很弱的条件下,建立了光滑罚算法的一个摄动定理,由此定理得到该罚算法的全局收敛性.
A class of smooth penalty function is proposed for the constraint optimization problem,which is based on the smooth function of a class of smooth approximation precision penalty function,and the penalty algorithm is given based on this kind of penalty function.In the very weak condition,a perturbation theorem of the smooth penalty algorithm is established,and global convergence of the penalty algorithm is obtained.
作者
梁卓华
LIANG Zhuohua(School of Mathematics and Statistics, Shandong University of Technology,Zibo 255049,China)
出处
《山东理工大学学报(自然科学版)》
CAS
2018年第2期17-20,共4页
Journal of Shandong University of Technology:Natural Science Edition
基金
国家自然科学基金项目(11271233)
山东省自然科学基金项目(ZR2012AM016
ZR2016AM07)
关键词
精确罚函数
光滑逼近
摄动定理
全局收敛性
exact penalty function
smooth approximation
perturbation theorem
global convergence