Top
Back: Bigatti and La Scala and Robbiano
Forward: Integer programming
FastBack: Algorithms
FastForward: Integer programming
Up: Toric ideals
Top: Singular Manual
Contents: Table of Contents
Index: Index
About: About this document

C.6.3 The Buchberger algorithm for toric ideals

Toric ideals have a very special structure that allows us to improve the Buchberger algorithm in many aspects: They are prime ideals and generated by binomials. Pottier used this fact to describe all operations of the Buchberger algorithm on the ideal generators in terms of vector additions and subtractions. Some other strategies like multiple reduction (see [CoTr91]) or the use of bit vectors to represent the support of a monomial (see [Big97]) may be applied to more general ideals, but show to be especially useful in the toric case.


Top Back: Bigatti and La Scala and Robbiano Forward: Integer programming FastBack: Algorithms FastForward: Integer programming Up: Toric ideals Top: Singular Manual Contents: Table of Contents Index: Index About: About this document
            User manual for Singular version 4-0-3, 2016, generated by texi2html.