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math.OC2026
Dynamical Systems and Nonconvex Quadratic Programs
Nguyen Nang Thieu
This paper studies a dynamical system approach for solving indefinite quadratic programming problems subject to linear constraints. We investigate the convergence of the trajectory…
math.OC2024
Solving a Class of Nonconvex Quadratic Programs by Inertial DC Algorithms
Tran Hung Cuong, Yongdo Lim, Nguyen Nang Thieu +1
Two inertial DC algorithms for indefinite quadratic programs under linear constraints (IQPs) are considered in this paper. Using a qualification condition related to the normal con…
math.OC2023
Fenchel Conjugate of Set-Valued Mappings
Nguyen Mau Nam, Gary Sandine, Nguyen Nang Thieu +1
In this paper, we present a novel concept of the Fenchel conjugate for set-valued mappings and investigate its properties in finite and infinite dimensions. After establishing the…