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KIAM Preprint № 98, Moscow, 2021
Authors: Bruno A.D., Batkhin A.B., Khaydarov Z.K.
Examples of computation of level lines of polynomials in a plane
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 Grobner 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, Grobner basis
Publication language: russian,  pages: 36
Research direction:
Mathematical modelling in actual problems of science and technics
Russian source text:
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About authors:
  • Bruno Alexander Dmitrievich,  abruno@keldysh.ruorcid.org/0000-0002-7465-1258KIAM RAS
  • Batkhin Alexander Borisovich,  batkhin@gmail.comorcid.org/0000-0001-8871-4697KIAM RAS
  • Khaydarov Zafar Khaydar ugli,  zafarxx@gmail.comorcid.org/0000-0002-2580-4887Samarkand State University