16 citations · 25 across the 8 of their papers we have counts for
9 papers
A connectedness result for convex polynomial multi-objective optimization without boundedness
Vu Trung Hieu
We prove that the weak Pareto solution set of a multi-objective optimization problem with convex polynomial objectives and constraints is connected, assuming neither boundedness of…
Rank recursion for -Whittaker and Macdonald operators
Philippe Di Francesco, Hieu Trung Vu
In this paper, we introduce and prove a set of rank recurrence relations for -Whittaker and Macdonald operators. We also derive an explicit expression for the -th power of th…
Perfect t-Embeddings of Uniformly Weighted Generalized Tower Graphs
David Keating, Hieu Trung Vu
In this paper, we study sequences of perfect t-embeddings of a uniformly weighted family of graphs we call generalized tower graphs. We show that the embeddings of these graphs sat…
Arctic curves of the T-system with Slanted Initial Data
Philippe Di Francesco, Hieu Trung Vu
We study the T-system of type , also known as the octahedron recurrence/equation, viewed as a 2+1-dimensional discrete evolution equation. Generalizing the study of [P. D…
Unboundedness of the images of set-valued mappings having closed graphs: Application to vector optimization
Vu Trung Hieu, Elisabeth Anna Sophia Köbis, Markus Arthur Köbis +1
In this paper, we propose criteria for unboundedness of the images of set-valued mappings having closed graphs in Euclidean spaces. We focus on mappings whose domains are non-close…
Computing local minimizers in polynomial optimization under genericity conditions
Vu Trung Hieu, Akiko Takeda
In this paper, we focus on computing local minimizers of a multivariate polynomial optimization problem under certain genericity conditions. By using a technique in computer algebr…
On the Nonemptiness and Boundedness of Solution Sets of Weakly Homogeneous Optimization Problems
Vu Trung Hieu
In this paper, we introduce a new class of optimization problems whose objective functions are weakly homogeneous relative to the constraint sets. By using the normalization argume…
On the solution existence and stability of polynomial optimization problems
Vu Trung Hieu
This paper introduces and investigates a regularity condition in the asymptotic sense for optimization problems whose objective functions are polynomial. Under this regularity cond…
On the R-tensors and the solution map of tensor complementarity problems
Vu Trung Hieu
Our purpose is to investigate the local boundedness, the upper semicontinuity, and the stability of the solution map of tensor complementarity problems. To do this, we focus on the…