An approach to solving systems of polynomials via modular arithmetics with applications

Valery G. Romanovski; Mateja Presern

doi:10.1016/j.cam.2011.06.018

An approach to solving systems of polynomials via modular arithmetics with applications

Valery G. Romanovski, Mateja Presern

Mathematics And Statistics

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44 Citations (Scopus)

Abstract

The objective of this paper is twofold. First, we describe a method to solve large systems of polynomial equations using modular arithmetics. Then, we apply the approach to the study of the problem of linearizability for a quadratic system of ordinary differential equations.

Original language	English
Pages (from-to)	196-208
Number of pages	13
Journal	Journal of Computational and Applied Mathematics
Volume	236
Issue number	2
DOIs	https://doi.org/10.1016/j.cam.2011.06.018
Publication status	Published - 15 Aug 2011

Keywords

polynomials
modular arithmetics
linearizability

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10.1016/j.cam.2011.06.018

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title = "An approach to solving systems of polynomials via modular arithmetics with applications",

abstract = "The objective of this paper is twofold. First, we describe a method to solve large systems of polynomial equations using modular arithmetics. Then, we apply the approach to the study of the problem of linearizability for a quadratic system of ordinary differential equations.",

keywords = "polynomials , modular arithmetics , linearizability",

author = "Romanovski, \{Valery G.\} and Mateja Presern",

year = "2011",

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AU - Presern, Mateja

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AB - The objective of this paper is twofold. First, we describe a method to solve large systems of polynomial equations using modular arithmetics. Then, we apply the approach to the study of the problem of linearizability for a quadratic system of ordinary differential equations.

KW - polynomials

KW - modular arithmetics

KW - linearizability

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DO - 10.1016/j.cam.2011.06.018

M3 - Article

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EP - 208

JO - Journal of Computational and Applied Mathematics

JF - Journal of Computational and Applied Mathematics

IS - 2

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An approach to solving systems of polynomials via modular arithmetics with applications

Abstract

Keywords

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