Gröbner basis

Known as: Multivariate division algorithm, Gröbner bases, Gröbner base

In mathematics, and more specifically in computer algebra, computational algebraic geometry, and computational commutative algebra, a Gröbner basis…

Papers overview

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2016

We prove that the polynomial form of the scattering equations is a Macaulay H-basis. We demonstrate that this H-basis facilitates…

2012

Let S be a subdivision of the plane into polygonal regions, where each region has an associated positive weight. The weighted…

2008

This paper explores how to use the concept of mutants in the computation of a Gröbner basis for polynomial equations. We compare…

2004

This paper compares the XL algorithm with Grobner basis algorithm. We explain the link between XL computation result and Grobner…

1998

This paper discusses the processing of non-linear polynomial systems using a branch and prune algorithm within the framework of…

1998

A sufficient condition for C1-continuity of subdivision surfaces was proposed by Reif [Comput. Aided Geom. Design, 12 (1995), pp…

1993

Grobner bases are fundamental tools for effective computations in polynomial ideel theory; they allow to solve the ideal…

1992

The problem of eliminating variables from a set of polynomial equations arises in many symbolic and numeric applications. The…

1991

Grobner Bases are a mathematical tool that has received considerable attention in recent years. Since the Buchberger Algorithm…

1990

The attempt to solve systems of polynomial equations with Grobner base techniques often leads to large problems which exceed the…