TITLE:
An Algorithm to Classify the Asymptotic Set Associated to a Polynomial Mapping
AUTHORS:
Nguyen Thi Bich Thuy
KEYWORDS:
Algorithms, Polynomial Mappings, Asymptotic Sets, Façons
JOURNAL NAME:
American Journal of Computational Mathematics,
Vol.7 No.1,
March
31,
2017
ABSTRACT: We provide an algorithm to classify the
asymptotic sets of the dominant polynomial mappingsof degree 2, using the
definition of the so-called “fa?ons” in [2]. We obtain a
classification theorem for the asymptotic sets of dominant polynomial mappingsof
degree 2. This algorithm can be generalized for the dominant polynomial
mappingsof degree d, with any (n,d)∈(N*)2.