19 citations · 19 across the 2 of their papers we have counts for
3 papers
cs.SC2016
GBLA -- Gröbner Basis Linear Algebra Package
Brice Boyer, Christian Eder, Jean-Charles Faugère +2
This is a system paper about a new GPLv2 open source C library GBLA implementing and improving the idea of Faugère and Lachartre (GB reduction). We further exploit underlying struc…
math.AC2011
Signature-based algorithms to compute Groebner bases
Christian Eder, John Perry
This paper describes a Buchberger-style algorithm to compute a Groebner basis of a polynomial ideal, allowing for a selection strategy based on "signatures". We explain how three r…
math.AC2008★ 19 cited
On The Criteria Of The F5 Algorithm
Christian Eder
Faugere's F5 algorithm is one of the fastest known algorithms for the computation of Grobner bases. So far only the F5 Criterion is proved, whereas the second powerful criterion, t…