2 citations · 5 across the 5 of their papers we have counts for
6 papers
Deciding lower-boundedness of polynomials
Nguyen Hong Duc, Vu Trung Hieu
This paper addresses the problem of deciding the lower-boundedness of an arbitrary real polynomial p in n variables.
Univariate representations of solutions to generic polynomial complementarity problems
Vu Trung Hieu, Alfredo Noel Iusem, Paul Hugo Schmölling +1
By using the squared slack variables technique, we demonstrate that the solution set of a general polynomial complementarity problem is the image, under a specific projection, of t…
Dimension in Polynomial Variational Inequalities
Vu Trung Hieu
The aim of the paper is twofold. Firstly, by using the constant rank level set theorem from differential geometry, we establish sharp upper bounds for the dimensions of the solutio…
Solution maps of polynomial variational inequalities
Vu Trung Hieu
In this paper, we investigate several properties of the solution maps of variational inequalities with polynomial data. First, we prove some facts on the -property, the local…
An Application of the Tarski-Seidenberg Theorem with Quantifiers to Vector Variational Inequalities
Vu Trung Hieu
We study the connectedness structure of the proper Pareto solution sets, the Pareto solution sets, the weak Pareto solution sets of polynomial vector variational inequalities, as w…
Numbers of the connected components of the solution sets of monotone affine vector variational inequalities
Vu Trung Hieu
This paper establishes several upper and lower estimates for the maximal number of the connected components of the solution sets of monotone affine vector variational inequalities.…