大連理工大學張立衛教授學術報告
2019-03-01 09:23  
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張立衛教授

報告題目Recent Development about Perturbation Analysis for Conic Optimization Problems

  間:2019年3月2日(周六)8:30-10:30

  點:開元校區工科四號樓637會議室

主辦單位:科技處、數學與統計學院

  要:

AbstractThis report first summarizes the works about nonlinear conic optimization problems, especially about strong regularity and isolated calmness for nonlinear programming, second-order conic optimization and semidefinite programming.  After that it is devoted to study  the robust isolated calmness of the Karush-Kuhn-Tucker (KKT) solution mapping  for a large class of  interesting conic programming problems (including most commonly known  ones arising from applications) at a locally optimal solution. Under the Robinson constraint qualification, we show that  the KKT solution mapping  is robustly isolated calm   if and only if both the strict Robinson constraint qualification   and the second order sufficient condition  hold. This implies, among others, that at a locally optimal solution  the constraint non-degeneracy and the second order sufficient condition are both needed for  the KKT solution mapping  to have  the Aubin property.

主講人簡介:

張立衛教授,大連理工大學數學科學學院運籌學與控制論業博士生指導教師、金融數學與保險精算專業博士生指導教師。

他于1989年,1992年优发娱乐|平台登录,1998年分別在大連理工大學獲得理學學士优发娱乐|平台登录,碩士,博士學位,1999-2001在中科院計算數學所從事博士后工作。目前的研究興趣是“矩陣優化”、“隨機規劃”“PDE約束控制與優化”。他完成和主持自然科學基金面上基金多項,重點基金子課題兩項优发娱乐|平台登录。發表SCI檢索論文100多篇,在國際頂級期刊Math. Programming, Operations Research, SIAM J. Optimization, Mathematics of Operations Research, Mathematics of Computation 發表論文10多篇。現任中國運籌學會常務理事优发娱乐|平台登录,中國運籌學會數學規劃分會理事优发娱乐|平台登录,中國運籌學會金融工程與金融風險管理分會常務理事,《JAPOR》和《運籌學學報》編委。

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