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Rapport (Rapport De Recherche) Année : 2003

Changing the ordering of Gröbner Bases with LLL: Case of Two Variables

Résumé

We present an algorithm for the transformation of a Gröbner basis of an ideal with respect to any given ordering into a Gröbner basis with respect to any other ordering. This algorithm is based on a modified version of the LLL algorithm. The worst case theoretical complexity of this algorithm is not better than the complexity of the FGLM algorithm; but can also give the theoretical complexity with some parameters depending on the size of the output. When the output is small then algorithm is more efficient. We also present a first implementation of the algorithm in Maple. This algorithm is restricted to the case of two variables but works also in positive dimension.

Domaines

Autre [cs.OH]
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Dates et versions

inria-00071841 , version 1 (23-05-2006)

Identifiants

  • HAL Id : inria-00071841 , version 1

Citer

Abdolali Basiri, Jean-Charles Faugère. Changing the ordering of Gröbner Bases with LLL: Case of Two Variables. [Research Report] RR-4746, INRIA. 2003. ⟨inria-00071841⟩
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