应用数学2021，Vol.34Issue(1)：163-175,13.
一个求解消失约束数学规划的部分光滑正则化方法
A Partly Smo othing-Regularization Metho d for Mathematical Programs with Vanishing Constraints
摘要
Abstract
In this paper, we consider the mathematical programs with vanishing constraints (MPVC). We present a pseudo Huber function based smoothing-regularization method for this problem, which only makes the part ones of the vanishing constraints be smoothed. For the new smoothed problem, we show that the Mangasarian-Fromovitz constraints qualification (MFCQ) holds under some conditions. We also analyze the convergence behavior of the smoothing-regularization method, i.e., an accumulation point of the stationary points sequence for the smoothing-regularization problem is a T-stationary point, and obtain some sufficient conditions such that an accumulation point of the stationary points sequence for the smoothing-regularization problem is M-or S-stationarity, respectively. Finally, some preliminary numerical results show that the proposed method may be promising.关键词
消失约束数学规划/T-稳定点/M-稳定点/S-稳定点/数值结果Key words
Mathematical program with vanishing constraint/T-stationarity/M-stationarity/S-stationarity/Numerical result分类
数理科学引用本文复制引用
董艳凤,初德建,胡林玉,胡清洁..一个求解消失约束数学规划的部分光滑正则化方法[J].应用数学,2021,34(1):163-175,13.基金项目
Supported by NNSF of China(11461015,11761014,11961011) （11461015,11761014,11961011）
the Guangx-i Natural Science Foundation(2015GXNSFAA139010,2017GXNSFAA198243) （2015GXNSFAA139010,2017GXNSFAA198243）
the National Innovation Project of University Students(201910595040) （201910595040）
the Guangxi Key Labovatory of Automatic Detecting Tech-nology(YQ17117) （YQ17117）
