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長沙理工大學學術活動預告

報告承辦單位: 數學與統計學院

報告題目:   A Class of Smoothing-Regularization Methods to Mathematical Programs with Vanishing Constraints

報告內容:  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. 

報告人姓名:  胡清潔

報告人所在單位: 桂林電子科技大學

報告人職稱/職務及學術頭銜:  教授

報告時間:  2020年11月25（星期三）：19:30-20:30

報告方式:  線上騰訊會議，會議號ID：889-118-140

報告人簡介:  胡清潔教授，博士，桂林電子科技大學運籌學與控制論專業碩士生導師，研究方向為最優化理論與方法，主持在研和完成國家自然科學基金課題各1項，主持完成廣西區自然科學基金課題1項, 參與在研和完成國家自然科學基金課題3項, 主持完成湖南省教育廳科研課題1項，先后在Applied Mathematics and Optimization、Annals of Operations Research、Optimization Letters、Optimization等雜志上發表論文40多篇，其中SCI收錄論文20余篇。