On Computation of Groebner Bases for Linear Difference Systems

Details On Computation of Groebner Bases for Linear Difference Systems On Computation of Groebner Bases for Linear Difference Systems

2005-09-22

arxiv.org/abs/math-ph/0509050v1

Physics

Mathematical Physics

5 pages, presented at ACAT-2005

Scientific paper

10.1016/j.nima.2005.11.141

In this paper we present an algorithm for computing Groebner bases of linear
ideals in a difference polynomial ring over a ground difference field. The
input difference polynomials generating the ideal are also assumed to be
linear. The algorithm is an adaptation to difference ideals of our polynomial
algorithm based on Janet-like reductions.

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