Tropical Newton-Puiseux polynomials II. (March 2023)

• Record Type: Journal Article
• Authors: Grigoriev, Dima
• Is Part Of: Journal of symbolic computation. Volume 115(2023)
• Page Start: 316
• Page End: 319
• Publication Date: 2023-03
• Subjects: 14T05; Tropical Newton-Puiseux polynomial -- Zeroes of tropical parametric polynomials; Mathematics -- Data processing -- Periodicals; Numerical analysis -- Data processing -- Periodicals; Automatic programming (Computer science) -- Periodicals; Mathématiques -- Informatique -- Périodiques; Analyse numérique -- Informatique -- Périodiques; Programmation automatique -- Périodiques; Automatic programming (Computer science); Mathematics -- Data processing; Numerical analysis -- Data processing; Periodicals; Electronic journals; 510.285
• DOI: 10.1016/j.jsc.2022.08.016
• Languages: English
• ISSNs: 0747-7171

Abstract

Abstract: Tropical Newton-Puiseux polynomials, defined as piece-wise linear functions with rational coefficients of the variables, play a role as tropical algebraic functions. We provide explicit formulas for tropical Newton-Puiseux polynomials being the tropical zeroes of a univariate tropical polynomial with parametric coefficients.