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math.OC2024
Characterizations of the Aubin Property of the Solution Mapping for Nonlinear Semidefinite Programming
Liang Chen, Ruoning Chen, Defeng Sun +1
In this paper, we study the Aubin property of the Karush-Kuhn-Tucker solution mapping for the nonlinear semidefinite programming (NLSDP) problem at a locally optimal solution. In t…
math.OC2024
Two Typical Implementable Semismooth* Newton Methods for Generalized Equations are G-Semismooth Newton Methods
Liang Chen, Defeng Sun, Wangyongquan Zhang
Semismooth* Newton methods have been proposed in recent years targeting multi-valued inclusion problems and have been successfully implemented to deal with several concrete general…
math.OC2024
Aubin Property and Strong Regularity Are Equivalent for Nonlinear Second-Order Cone Programming
Liang Chen, Ruoning Chen, Defeng Sun +1
This paper solves a fundamental open problem in variational analysis on the equivalence between the Aubin property and the strong regularity for nonlinear second-order cone program…