4 citations · 4 across the 7 of their papers we have counts for
6 papers
Revisiting the Constant-Rank Constraint Qualification for Second-Order Cone Programs
Nguyen Huy Chieu, Nguyen Thi Quynh Trang, Nguyen Thi Hai Yen
The constant rank constraint qualification (CRCQ) for second-order cone programs, introduced by Andreani et al. in [Math. Program. 202 (2023), 473 - 513], shares some desirable pro…
Tilt Stability for Nonlinear Programs under Relaxed Constant Rank Constraint Qualification
Nguyen Huy Chieu, Nguyen Thi Quynh Trang, Nguyen Thi Hai Yen
This paper investigates the tilt stability of local minimizers for nonlinear programs under the relaxed constant rank constraint qualification in finite dimensions. By employing a…
Second order optimality conditions for strong local minimizers via subgradient graphical derivative
Nguyen Huy Chieu, Le Van Hien, Tran T. A. Nghia +1
This paper is devoted to the study of second order optimality conditions for strong local minimizers in the frameworks of unconstrained and constrained optimization problems in fin…
Convexifiability of Continuous and Discrete Nonnegative Quadratic Programs for Gap-Free Duality
N. H. Chieu, V. Jeyakumar, G. Li
In this paper we show that a convexifiability property of nonconvex quadratic programs with nonnegative variables and quadratic constraints guarantees zero duality gap between the…
Characterization of tilt stability via subgradient graphical derivative with applications to nonlinear programming
Nguyen Huy Chieu, Le Van Hien, Tran T. A. Nghia
This paper is devoted to the study of tilt stability in finite dimensional optimization via the approach of using the subgradient graphical derivative. We establish a new character…
SOS-convex Semi-algebraic Programs and its Applications to Robust Optimization: A Tractable Class of Nonsmooth Convex Optimization
N. H. Chieu, J. W. Feng, W. Gao +2
In this paper, we introduce a new class of nonsmooth convex functions called SOS-convex semialgebraic functions extending the recently proposed notion of SOS-convex polynomials. Th…