This article is cited in 1 paper

Examples of computation of level lines of polynomials in a plane

A. D. Bruno, A. B. Batkhin, Z. Kh. Khaydarov


Abstract: Here we present a theory and 3 nontrivial examples of level lines calculating of real polynomials in the real plane. For this case we implement the following programs of computational algebra: factorization of a polynomial, calculation of the Gröbner basis, construction of Newton's polygon, representation of an algebraic curve in a plane. Furthermore, it is shown how to overcome computational difficulties.

Keywords: polynomial, critical point, critical curve, level line, Newton polygon, Gröbner basis.

UDC: 517.5+004.421.6

DOI: 10.20948/prepr-2021-98