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A simple algorithm to compute comprehensive Gröbner bases using Gröbner bases

Published:09 July 2006Publication History

ABSTRACT

We introduce a simple algorithm to compute comprehensive Gröbner bases. It requires only computations of reduced Gröbner bases in polynomial rings over ground fields. It is so simple that we can easily implement it on any computer algebra system that has a routine to compute reduced Gröbner bases. Our implementations on several computer algebra systems show that it is also sufficiently fast comparing with other existing algorithms.

References

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  1. A simple algorithm to compute comprehensive Gröbner bases using Gröbner bases

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    • Published in

      cover image ACM Conferences
      ISSAC '06: Proceedings of the 2006 international symposium on Symbolic and algebraic computation
      July 2006
      374 pages
      ISBN:1595932763
      DOI:10.1145/1145768
      • General Chair:
      • Barry Trager

      Copyright © 2006 ACM

      Permission to make digital or hard copies of all or part of this work for personal or classroom use is granted without fee provided that copies are not made or distributed for profit or commercial advantage and that copies bear this notice and the full citation on the first page. Copyrights for components of this work owned by others than ACM must be honored. Abstracting with credit is permitted. To copy otherwise, or republish, to post on servers or to redistribute to lists, requires prior specific permission and/or a fee. Request permissions from [email protected]

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      Association for Computing Machinery

      New York, NY, United States

      Publication History

      • Published: 9 July 2006

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      Overall Acceptance Rate395of838submissions,47%

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