5 citations · 14 across the 28 of their papers we have counts for
36 papers
Perturbation of monic matrix polynomials
Cong Trinh Le, Gue Myung Lee, Yongdo Lim +1
In this paper, we study the stability of matrix polynomials under structured perturbations of their coefficients. More precisely, we consider a family of matrix polynomials \[ P_u(…
Existence theorems for optimal solutions in semi-algebraic optimization
Jae Hyoung Lee, Gue Myung Lee, Tien Son Pham
Consider the problem of minimizing a lower semi-continuous semi-algebraic function on an unbounded closed semi-algebraic set…
Clarke's tangent cones, subgradients, optimality conditions and the Lipschitzness at infinity
Minh Tung Nguyen, Tien-Son Pham
We first study Clarke's tangent cones at infinity to unbounded subsets of We prove that these cones are closed convex and show a characterization of their interiors…
Characterizations of directional openness for set-valued mappings
Si Tiep Dinh, Tien Son Pham
We provide necessary and sufficient conditions for a set-valued mapping between finite dimensional spaces to be directionally open by relating this property with directional regula…
Limits of real bivariate rational functions
Si Tiep Dinh, Feng Guo, Hong Duc Nguyen +1
Given two nonzero polynomials and a point we give some necessary and sufficient conditions for the existence of the limit $\disp…
On definable open continuous mappings
Si Tiep Dinh, Tien Son Pham
For a definable continuous mapping from a definable connected open subset of into we show that the following statements are equivalent: (i) The…