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

Romanovski, Valery G. and Presern, Mateja (2011) An approach to solving systems of polynomials via modular arithmetics with applications. Journal of Computational and Applied Mathematics, 236 (2). pp. 196-208. ISSN 0377-0427

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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.