1 citations · 1 across the 3 of their papers we have counts for
4 papers · 1 filter
On continuous selections of polynomial functions
Feng Guo, Liguo Jiao, Do Sang Kim
A continuous selection of polynomial functions is a continuous function whose domain can be partitioned into finitely many pieces on which the function coincides with a polynomial.…
On types of KKT points in polynomial optimization
Feng Guo, Do Sang Kim, Liguo Jiao +1
Let be a real polynomial function with variables and be a basic closed semialgebraic set in . In this paper, we are interested in the problem of identifying…
On semi-infinite systems of convex polynomial inequalities and polynomial
Feng Guo, Xiaoxia Sun
We consider the semi-infinite system of polynomial inequalities of the form \[ \mathbf{K}:=\{x\in\mathbb{R}^m\mid p(x,y)\ge 0,\ \ \forall y\in S\subseteq\mathbb{R}^n\}, \] where $p…
On types of degenerate critical points of real polynomial functions
Feng Guo, Tien-Son Pham
In this paper, we consider the problem of identifying the type (local minimizer, maximizer or saddle point) of a given isolated real critical point , which is degenerate, of a m…