6 papers
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…
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…
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…
Near Convexity and Generalized Differentiation
Nguyen Mau Nam, Nguyen Nang Thieu, Nguyen Dong Yen
In this paper, we introduce the concept of nearly convex set-valued mappings and investigate fundamental properties of these mappings. Additionally, we establish a geometric approa…
Relationships between Polyhedral Convex Sets and Generalized Polyhedral Convex Sets
Nguyen Ngoc Luan, Nguyen Mau Nam, Nguyen Nang Thieu +1
In this paper we study some relationships between polyhedral convex sets (PCS) and generalized polyhedral convex sets (GPCS). In particular, we clarify by a counterexample that the…
Optimal Control of Several Motion Models
Tan H. Cao, Nilson Chapagain, Haejoon Lee +2
This paper is devoted to the study of the dynamic optimization of several controlled crowd motion models in the general planar settings, which is an application of a class of optim…