On Computing Janet Bases for Degree Compatible Orderings
classification
🧮 math.AC
math.RA
keywords
basesmodificationsalgorithmcompatiblecomputingdegreejanetbase
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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 Faug\`{e}re's $F_4$ algorithm.
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