5 citations · 12 across the 8 of their papers we have counts for
10 papers
On Some Incremental Algorithms for the Minimum Sum-of-Squares Clustering Problem. Part 1: Ordin and Bagirov's Incremental Algorithm
Tran Hung Cuong, Jen-Chih Yao, Nguyen Dong Yen
Solution methods for the minimum sum-of-squares clustering (MSSC) problem are analyzed and developed in this paper. Based on the DCA (Difference-of-Convex functions Algorithms) in…
Analyzing a Maximum Principle for Finite Horizon State Constrained Problems via Parametric Examples. Part 2: Problems with Bilateral State Constraints
Vu Thi Huong, Jen-Chih Yao, Nguyen Dong Yen
In the present paper, the maximum principle for finite horizon state constrained problems from the book by R. Vinter [\textit{Optimal Control}, Birkhäuser, Boston, 2000; Theorem~9.…
Analyzing a Maximum Principle for Finite Horizon State Constrained Problems via Parametric Examples. Part 1: Problems with Unilateral State Constraints
Vu Thi Huong, Jen-Chih Yao, Nguyen Dong Yen
In the present paper, the maximum principle for finite horizon state constrained problems from the book by R. Vinter [\textit{Optimal Control}, Birkhäuser, Boston, 2000; Theorem~9.…
Sensitivity Analysis of a Stationary Point Set Map under Total Perturbations. Part 1: Lipschitzian Stability
Duong Thi Kim Huyen, Jen-Chih Yao, Nguyen Dong Yen
By applying some theorems of Levy and Mordukhovich (Math Program 99: 311--327, 2004) and other related results, we estimate the Fréchet coderivative and the Mordukhovich coderivati…
Sensitivity Analysis of a Stationary Point Set Map under Total Perturbations. Part 2: Robinson Stability
Duong Thi Kim Huyen, Jen-Chih Yao, Nguyen Dong Yen
In Part 1 of this paper, we have estimated the Fréchet coderivative and the Mordukhovich coderivative of the stationary point set map of a smooth parametric optimization problem wi…
Qualitative Properties of the Minimum Sum-of-Squares Clustering Problem
Tran Hung Cuong, Jen-Chih Yao, Nguyen Dong Yen
A series of basic qualitative properties of the minimum sum-of-squares clustering problem are established in this paper. Among other things, we clarify the solution existence, prop…
Differentiability Properties of a Parametric Consumer Problem
Vu Thi Huong, Jen-Chih Yao, Nguyen Dong Yen
We study the budget map and the indirect utility function of a parametric consumer problem in a Banach space setting by some advanced tools from set-valued and variational analysis…
Generalized Polyhedral Convex Optimization Problems
Nguyen Ngoc Luan, Jen-Chih Yao
Generalized polyhedral convex optimization problems in locally convex Hausdorff topological vector spaces are studied systematically in this paper. We establish solution existence…
Differential stability of a class of convex optimal control problems
Duong Thi Viet An, Jen-Chih Yao, Nguyen Dong Yen
A parametric constrained convex optimal control problem, where the initial state is perturbed and the linear state equation contains a noise, is considered in this paper. Formulas…
On Some Generalized Polyhedral Convex Constructions
Nguyen Ngoc Luan, Jen-Chih Yao, Nguyen Dong Yen
Generalized polyhedral convex sets, generalized polyhedral convex functions on locally convex Hausdorff topological vector spaces, and the related constructions such as sum of sets…