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

Romanovski, V.G. and Presern, M. (2011) An approach to solving systems of polynomials via modular arithmetics with applications. Journal of Computational and Applied Mathematics, 236(2), 196 - 208. (doi: 10.1016/j.cam.2011.06.018)

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Publisher's URL: http://dx.doi.org/10.1016/j.cam.2011.06.018

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.

Item Type:Articles
Keywords:Decomposition of affine varieties
Status:Published
Refereed:Yes
Glasgow Author(s) Enlighten ID:Presern, Dr Mateja
Authors: Romanovski, V.G., and Presern, M.
Subjects:Q Science > QA Mathematics
College/School:College of Science and Engineering > School of Mathematics and Statistics > Mathematics
Journal Name:Journal of Computational and Applied Mathematics
ISSN:0377-0427
ISSN (Online):1879-1778

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