Zobrazeno 1 - 10
of 29
pro vyhledávání: '"Hieu, Vu Trung"'
By using the squared slack variables technique, we show that a general polynomial complementarity problem can be formulated as a system of polynomial equations. Thus, the solution set of such a problem is the image of a real algebraic set under a cer
Externí odkaz:
http://arxiv.org/abs/2410.21810
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-closed or whose values are connected. These criteria allow us to see struct
Externí odkaz:
http://arxiv.org/abs/2312.14783
Autor:
Hieu, Vu Trung, Takeda, Akiko
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 algebra and the second-order optimality condition, we provide a univariate r
Externí odkaz:
http://arxiv.org/abs/2311.00838
Autor:
Hieu, Vu Trung
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 argument in asymptotic analysis, we prove two criteria for the nonemptiness
Externí odkaz:
http://arxiv.org/abs/2001.09436
Autor:
Hieu, Vu Trung
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 solution sets of polynomial variational inequalities under mild conditions. S
Externí odkaz:
http://arxiv.org/abs/2001.09435
Autor:
Hieu, Vu Trung
Publikováno v:
Optimization Letters, 2021
This paper introduces and investigates a regularity condition in the asymptotic sense for optimization problems whose objective functions are polynomial. Under this regularity condition, the normalization argument in asymptotic analysis enables us to
Externí odkaz:
http://arxiv.org/abs/1808.06100
Autor:
Hieu, Vu Trung
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 set of R$_0$--tensors and show that this set plays an important role
Externí odkaz:
http://arxiv.org/abs/1807.00320
Autor:
Hieu, Vu Trung
In this paper, we investigate several properties of the solution maps of variational inequalities with polynomial data. First, we prove some facts on the $R_0$-property, the local boundedness, and the upper semicontinuity of the solution maps. Second
Externí odkaz:
http://arxiv.org/abs/1807.00321
Autor:
Hieu, Vu Trung
In this paper, we investigate the topological structure of solution sets of monotone vector variational inequalities. We show that if the weak Pareto solution set of a monotone vector variational inequality is disconnected, then each connected compon
Externí odkaz:
http://arxiv.org/abs/1804.01078
Autor:
Hieu, Vu Trung
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. Our results give a partial solution to Question~2 in [N.D. Yen and J.
Externí odkaz:
http://arxiv.org/abs/1803.00198