Study of D-decompositions by the methods of computational real-valued algebraic geometry View Full Text


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Article Info

DATE

2012-12

AUTHORS

O. O. Vasil’ev

ABSTRACT

New methods to study the D-decomposition with the use of the computational realvalued algebraic geometry were proposed. The number of domains of D-decomposition for the polynomial parametric families of polynomials and matrices was estimated. This technique which requires construction of the Gröbner bases and cylindrical decomposition sometimes proves to be more precise than the traditional technique. The symbolic calculation system Maple v.14 and, in particular, its package RegularChains are used. More... »

PAGES

1978-1993

References to SciGraph publications

  • 2008-12. D-decomposition technique state-of-the-art in AUTOMATION AND REMOTE CONTROL
  • 2003-04. Asymptotic behaviour of Betti numbers of real algebraic surfaces in COMMENTARII MATHEMATICI HELVETICI
  • Identifiers

    URI

    http://scigraph.springernature.com/pub.10.1134/s0005117912120041

    DOI

    http://dx.doi.org/10.1134/s0005117912120041

    DIMENSIONS

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