Next: 1 Introduction
Monomial Representations for Gröbner Bases
Centre for Computer Algebra
Department of Mathematics
University of Kaiserslautern
Monomial representations and operations for Gröbner bases
computations are investigated from an implementation point of view.
The technique of vectorized monomial operations is introduced and it
is shown how it expedites computations of Gröbner bases.
Furthermore, a rank-based monomial representation and comparison
technique is examined and it is concluded that this technique does
not yield an additional speedup over vectorized
comparisons. Extensive benchmark tests with the Computer Algebra
System SINGULAR are used to evaluate these concepts.
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