1 citations · 2 across the 13 of their papers we have counts for
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Global Łojasiewicz inequalities on comparing the rate of growth of polynomial functions
Si-Tiep Dinh, Feng Guo, Tien-Son Pham
We present a global version of the Łojasiewicz inequality on comparing the rate of growth of two polynomial functions in the case the mapping defined by these functions is (Newton)…
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{…
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…
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…
Invariants of the bi-Lipschitz contact equivalence of continuous definable function germs
Tien-Son Pham, Nguyen Thao Nguyen Bui
We construct an invariant of the bi-Lipschitz contact equivalence of continuous function germs definable in a polynomially bounded o-minimal structure, such as semialgebraic functi…
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…