WEEKLY ACTIVITIES

On types of degenerate critical points of real polynomial functions
Speaker: Pham Tien Son

Time: 9h, Wednesday, July 1, 2020

 

Location: Room 612, Building A6, Institutte of Mathematics and GM https://meet.google.com/vha-ujbp-kwo

Abstract: In this paper, we consider the problem of identifying the type (local minimizer, maximizer or saddle point) of a given isolated real critical point c, which is degenerate, of a multivariate polynomial function f. To this end, we introduce the definition of faithful radius of c by means of the curve of tangency of f. We show that the type of c can be determined by the global extrema of f over the Euclidean ball centered at c with a faithful radius. We propose algorithms to compute the faithful radius of c and determine its type. Joint work with Feng Guo.

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