شماره ركورد كنفرانس :
4079
عنوان مقاله :
Improved Computation of Border Bases
پديدآورندگان :
Hashemi Amir Amir.Hashemi@cc.iut.ac.ir Isfahan University of Technology , Pourkhajouei Samira s.pourkhajooei@math.iut.ac.ir Isfahan University of Technology
كليدواژه :
Monomial ordering , Gröbner bases , Syzygies , Order ideal , Border bases
عنوان كنفرانس :
چهل و هفتمين كنفرانس رياضي ايران
چكيده فارسي :
In this paper, we present a modification of the Kehrein-Kreuzer algorithm for computing border bases, using computed syzygies to remove superfluous reductions. We have implemented all the algorithms described in this article in Maple and we evaluate their performances (with the implementation of the Kehrein-Kreuzer algorithm in ApCoCoA software) via a set of benchmark polynomials
