Publications
Refereed Journals and Conference Proceedings
  • Chtcherba, A. D. and Kapur, D. [ bibtex, abstract, pdf ]
    Resultants for Unmixed Bivariate Polynomial Systems using the Dixon formulation
    Accepted for publication in Journal of Symbolic Computation, May 2002 - Jun 2003 - Dec03

  • Chtcherba, A. D. and Kapur, D. [ bibtex, abstract, preprint pdf ]
    Exact resultants for corner-cut unmixed multivariate polynomial systems using the Dixon formulation
    Journal of Symbolic Computation, Vol 36/3-4, 2003, pp 289-315

  • Chtcherba, A. D. [ bibtex, abstract, ps, pdf ]
    A new Sylvester-type Resultant Method based on the Dixon-Bézout Formulation
    Thesis, Department of Computer Science, University of New Mexico, Albuquerque, NM, 2003

  • Chtcherba, A. D. and Kapur, D. [ bibtex, abstract, pdf ]
    Constructing Sylvester-Type Resultant Matrices using the Dixon Formulation
    Submitted to Journal of Symbolic Computation, Oct 2002.

  • Chtcherba, A. D. and Kapur, D. [ bibtex, abstract, ps, pdf ]
    On the Efficiency and Optimality of Dixon­based Resultant Methods
    Proc. of International Symposium on Symbolic and Algebraic Computation, Jul 2002, ISSAC'02, Lille, France.

  • Chtcherba, A. D. and Kapur, D. [ bibtex, abstract, ps, pdf ]
    A Complete Analysis of Resultants and Extraneous Factors for Unmixed Bivariate Polynomial Systems using the Dixon formulation
    Proc. of Eighth Rhine Workshop on Computer Algebra, 2002, RWCA'02

  • Chtcherba, A. D. and Kapur, D. [ bibtex, abstract, ps, pdf ]
    Conditions for Exact Resultant using Dixon Formulation
    Proc. of International Symposium on Symbolic and Algebraic Computation, Aug 2000, ISSAC'00, St. Andrews Scotland

  • Chtcherba, A. D. and Kapur, D. [ bibtex, ps, pdf ]
    Extracting Sparse Resultant Matrices from Dixon Resultant Formulation
    Proc. of Seventh Rhine Workshop on Computer Algebra, 2000, RWCA'00

Technical Reports