An approach to solving systems of polynomials via modular arithmetics with applications |
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| Authors: | Valery G Romanovski Mateja Prešern |
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| Institution: | a CAMTP - Center for Applied Mathematics and Theoretical Physics, University of Maribor, Krekova 2, SI-2000 Maribor, Sloveniab Faculty of Natural Sciences and Mathematics, University of Maribor, Koroška cesta 160, SI-2000 Maribor, Sloveniac Department of Mathematics and Statistics, University of Strathclyde, 26 Richmond Street, Glasgow G1 1XH, Scotland, UK |
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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. |
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| Keywords: | 34C20 13P15 13P10 08A40 |
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