Gröbner-Bases, Gaussian elimination and resolution of systems of algebraic equations

@inproceedings{Lazard1983GrbnerBasesGE,
title={Gr{\"o}bner-Bases, Gaussian elimination and resolution of systems of algebraic equations},
author={D. Lazard},
booktitle={EUROCAL},
year={1983}
}

In the past few years, two very different methods have been developed for solving systems of algebraic equations : the method of Gr6bner bases or standard bases [Buc I, Buc 2, Tri, P.Y] and the one which I presented in Eurosam 79 [Laz 2, Laz 3] based on gaussian elimination in some matrices. Although they look very different, they are, in fact, very similar, at least if we restrict ourselves to the first step of my method. On the other hand Gr6bner base algorithms are very close to the tangent… Expand