3 papers
cs.SC2021
On Two Signature Variants Of Buchberger's Algorithm Over Principal Ideal Domains
Maria Francis, Thibaut Verron
Signature-based algorithms have brought large improvements in the performances of Gröbner bases algorithms for polynomial systems over fields. Furthermore, they yield additional da…
cs.SC2019
Signature-based Möller's algorithm for strong Gröbner bases over PIDs
Maria Francis, Thibaut Verron
Signature-based algorithms are the latest and most efficient approach as of today to compute Gröbner bases for polynomial systems over fields. Recently, possible extensions of thes…
cs.SC2018
A Signature-based Algorithm for computing Computing Gröbner Bases over Principal Ideal Domains
Maria Francis, Thibaut Verron
Signature-based algorithms have become a standard approach for Gröbner basis computations for polynomial systems over fields, but how to extend these techniques to coefficients in…