1 citations · 2 across the 16 of their papers we have counts for
Showing 2019 · math.OCShow all
4 papers · 2 filters
math.OC2019
Complementary problems with polynomial data
Tien-Son Pham, Canh Hung Nguyen
Given polynomial maps we consider the {\em polynomial complementary problem} of finding a vector such that \begin{…
math.OC2019
Polynomial mathematical programs with equilibrium constraints and semidefinite programming relaxations
Liguo Jiao, Jae Hyoung Lee, Tien-Son Pham
This paper focuses on the study of a mathematical program with equilibrium constraints, where the objective and the constraint functions are all polynomials. We present a method fo…
math.OC2019
Tangencies and Polynomial Optimization
Tien-Son Pham
Given a polynomial function and a unbounded basic closed semi-algebraic set in this paper we show that the…
math.OC2019
Local minimizers of semi-algebraic functions from the viewpoint of tangencies
Tien-Son Pham
Consider a semi-algebraic function which is continuous around a point Using the so--called {\em tangency variety…