1 citations · 1 across the 2 of their papers we have counts for
5 papers
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…
Optimality conditions for minimizers at infinity in polynomial programming
Tien-Son Pham
In this paper we study necessary optimality conditions for the optimization problem where $f_0 \colon \mathbb{…
Compactness criteria for real algebraic sets and newton polyhedra
Phu-Phat Pham, Tien-Son Pham
Let be a polynomial and its zero set. In this paper, in terms of the so-called Newton polyhedron of we present…
Łojasiewicz inequalities with explicit exponent for smallest singular value functions
Si Tiep Dinh, Tien Son Pham
Let be a ()-real polynomial matrix and let be the smallest singular value function of In this paper, w…
On tangent cones at infinity of algebraic varieties
Công-Trình Lê, Tien-Son Pham
In this paper, we establish the following version at infinity of Whitney's theorem [6, 7]: Geometric and algebraic tangent cones at infinity of complex algebraic varieties coincide…