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报告承办单位: 数学与统计学院

报告题目:   A Class of Smoothing-Regularization Methods to Mathematical Programs with Vanishing Constraints

报告内容:  In this paper, based on the smoothing technique in [X. J. Chen, Mathematical Programming, 134(1): 71-99, 2012.], we propose a class of smoothing regularization methods for solving the mathematical programming with vanishing constraints. These methods include the smoothing regularization method proposed by Kanzow et al in [Computational Optimization and Applications, 55(3): 733-767, 2013.] as a special case. Under the weaker conditions than the ones that have been used by Kanzow et al in 2013, we prove that the MFCQ holds at the feasible points of smoothing-regularization problem. We also analyze that the convergence behavior of the proposed smoothing-regularization method undermild conditions, i.e., an accumulation point of the stationary points sequence for the smoothing-regularization problem is a strong stationary point. Finally, numerical experiments are given to show the efficiency of the proposed methods. 

报告人姓名:  胡清洁

报告人所在单位: 桂林电子科技大学

报告人职称/职务及学术头衔:  教授

报告时间:  2020年11月25（星期三）：19:30-20:30

报告方式:  线上腾讯会议，会议号ID：889-118-140

报告人简介:  胡清洁教授，博士，桂林电子科技大学运筹学与控制论专业硕士生导师，研究方向为最优化理论与方法，主持在研和完成国家自然科学基金课题各1项，主持完成广西区自然科学基金课题1项, 参与在研和完成国家自然科学基金课题3项, 主持完成湖南省教育厅科研课题1项，先后在Applied Mathematics and Optimization、Annals of Operations Research、Optimization Letters、Optimization等杂志上发表论文40多篇，其中SCI收录论文20余篇。