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Mathematics of Computation

Published by the American Mathematical Society since 1960 (published as Mathematical Tables and other Aids to Computation 1943-1959), Mathematics of Computation is devoted to research articles of the highest quality in computational mathematics.

ISSN 1088-6842 (online) ISSN 0025-5718 (print)

The 2020 MCQ for Mathematics of Computation is 1.78.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.


Subideal border bases
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by Martin Kreuzer and Henk Poulisse PDF
Math. Comp. 80 (2011), 1135-1154 Request permission


In modeling physical systems, it is sometimes useful to construct border bases of 0-dimensional polynomial ideals which are contained in the ideal generated by a given set of polynomials. We define and construct such subideal border bases, provide some basic properties and generalize a suitable variant of the Buchberger-Möller algorithm as well as the AVI-algorithm of Heldt, Kreuzer, Pokutta, and Poulisse to the subideal setting. The subideal version of the AVI-algorithm is then applied to an actual industrial problem.
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Additional Information
  • Martin Kreuzer
  • Affiliation: Fakultät für Informatik und Mathematik, Universität Passau, D-94030 Passau, Germany
  • Email:
  • Henk Poulisse
  • Affiliation: Harkenkamp 1a, D-30851 Langenhagen, Germany
  • Email:
  • Received by editor(s): May 7, 2009
  • Received by editor(s) in revised form: March 9, 2010
  • Published electronically: November 1, 2010
  • © Copyright 2010 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Math. Comp. 80 (2011), 1135-1154
  • MSC (2010): Primary 13P10; Secondary 41A10, 65D05, 14Q99
  • DOI:
  • MathSciNet review: 2772116