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Construction of Involutive Monomial Sets for Different Involutive Divisions

In: Computer Algebra in Scientific Computing CASC’99

Author

Listed:
  • Vladimir P. Gerdt

    (Joint Institute for Nuclear Research, Laboratory of Computing Techniques and Automation)

  • Vladimir V. Kornyak

    (Joint Institute for Nuclear Research, Laboratory of Computing Techniques and Automation)

  • Matthias Berth

    (University of Greifswald, Department of Mathematics and Informatics)

  • Günter Czichowski

    (University of Greifswald, Department of Mathematics and Informatics)

Abstract

We consider computational and implementation issues for the completion of monomial sets to involution using different involutive divisions. Every of these divisions produces its own completion procedure. For the polynomial case it yields an involutive basis which is a special form of a Gröbner basis, generally redundant. We also compare our Mathematica implementation of Janet division to an implementation in C.

Suggested Citation

  • Vladimir P. Gerdt & Vladimir V. Kornyak & Matthias Berth & Günter Czichowski, 1999. "Construction of Involutive Monomial Sets for Different Involutive Divisions," Springer Books, in: Victor G. Ganzha & Ernst W. Mayr & Evgenii V. Vorozhtsov (ed.), Computer Algebra in Scientific Computing CASC’99, pages 147-157, Springer.
    • Handle: RePEc:spr:sprchp:978-3-642-60218-4_11
    DOI: 10.1007/978-3-642-60218-4_11
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