汇报标题 (Title):Augmented Lagrangian-based Methods for Conic Constraint Optimization Problems (锥约束优化问题的基于增广拉格朗日的步骤)
汇报人 (Speaker):陈亮 副教授(湖南大学)
汇报功夫 (Time):2025年5月17日 (周六) 13:00
汇报地址 (Place):校本部GJ303
约请人(Inviter):徐姿 教授
主办部门:理学院数学系
汇报提要: This talk introduces some augmented Lagrangian-based methods for conic constraint optimization problems from both the computational and theoretical perspectives. We present a class of decomposition-based first-order algorithms for solving large-scale convex composite conic programming, a unified second-order augmented Lagrangian algorithm framework for nonlinear conic programming, and some recent advances in perturbation analysis of nonlinear second-order cone programming and semidefinite programming problems.