Сибирский федеральный университет

Тип публикации: доклад, тезисы доклада, статья из сборника материалов конференций

Конференция: International Workshop on Computer Algebra in Scientific Computing (CASC); Univ Bucharest, Bucharest, ROMANIA; Univ Bucharest, Bucharest, ROMANIA

Год издания: 2016

Идентификатор DOI: 10.1007/978-3-319-45641-6_7

Ключевые слова: Amoebas, Newton polytope, Optimal algebraic hypersurface, The contour of an amoeba, Hypergeometric functions, MATLAB, Polynomials, Three dimensional computer graphics, Hypersurface, Newton polytopes, Algebra

Аннотация: We present algorithms for computation and visualization of polynomial amoebas, their contours, compactified amoebas and sections of three-dimensional amoebas by two-dimensional planes. We also provide a method and an algorithm for the computation of polynomials whose amoebas exhibit the most complicated topology among all polynomials with a fixed Newton polytope. The presented algorithms are implemented in computer algebra systems Matlab 8 and Mathematica 9.

Журнал: Computer algebra in scientific computing, CASC 2016

Выпуск журнала: Vol. 9890

Номера страниц: 87-100

ISSN журнала: 03029743

Место издания: Cham

Издатель: Springer Verlag

• Bogdanov D.V. (Plekhanov Russian University)
• Sadykov T.M. (Plekhanov Russian University)
• Kytmanov A.A. (Siberian Federal University)

• Web of Science Core Collection
• Scopus
• Ядро РИНЦ (eLIBRARY.RU)