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On Computing Janet Bases for Degree Compatible Orderings

Vladimir P. Gerdt·Yuri A. Blinkov
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Abstract

We consider three modifications of our involutive algorithm for computing Janet bases. These modifications are related to degree compatible monomial orders and specify selection strategies for non-multiplicative prolongations. By using the standard data base of polynomial benchmarks for \Gr bases software we compare the modifications and confront them with Magma that implements Faugère's $F_4$ algorithm.

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Vladimir P. Gerdt, Yuri A. Blinkov. 2006-04-10. On Computing Janet Bases for Degree Compatible Orderings. https://arxiv.org/abs/math/0603161

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