skip to main content
article
Free Access

Matrix eigenproblems are at the heart of polynomial system solving

Published:01 December 1996Publication History
First page image

References

  1. {1} W. Auzinger, H.J. Stetter: An elimination algorithm for the computation of all zeros of a system of multivariate polynomial equations, in: Intern. Series in Numer. Math. (Birkhäuser) vol. 86, 11-30, 1988.Google ScholarGoogle ScholarCross RefCross Ref
  2. {2} J. Canny, I. Emiris: An efficient algorithm for the sparse mixed resultant, in: Lect. Notes in Comp. Science vol. 263, 89-104, 1993. Google ScholarGoogle ScholarDigital LibraryDigital Library
  3. {3} R.M. Corless, P.M. Gianni, B.M. Trager, Stephen M. Watt: The Singular Value Decomposition for Polynomial Systems, in: Proc. ISSAC '95, Montréal, A.H.M. Levelt, ed., 195-207, 1995. Google ScholarGoogle ScholarDigital LibraryDigital Library
  4. {4} D. Lazard: Résolution des systèmes d'équations algébriques, Theor. Comp. Sci 15, 77-110, 1981.Google ScholarGoogle ScholarCross RefCross Ref
  5. {5} M.G. Marinari, H.M. Moeller, T. Mora: Groebner duality and multiplicities in polynomial system solving , to appear in Trans. AMS.Google ScholarGoogle Scholar
  6. {6} H.M. Moeller, H.J. Stetter: Multivariate polynomial equations with multiple zeros solved by matrix eigenproblems , Numer. Math. 70, 311-329, 1995. Google ScholarGoogle ScholarDigital LibraryDigital Library
  7. {7} H.J. Stetter: Multivariate polynomial equations as matrix eigenproblems, in: Series in Applicable Analysis (World Scientific) vol. 2, 355-371, 1993.Google ScholarGoogle Scholar

Index Terms

  1. Matrix eigenproblems are at the heart of polynomial system solving

      Recommendations

      Comments

      Login options

      Check if you have access through your login credentials or your institution to get full access on this article.

      Sign in

      Full Access

      • Published in

        cover image ACM SIGSAM Bulletin
        ACM SIGSAM Bulletin  Volume 30, Issue 4
        Dec. 1996
        29 pages
        ISSN:0163-5824
        DOI:10.1145/242961
        Issue’s Table of Contents

        Copyright © 1996 Author

        Publisher

        Association for Computing Machinery

        New York, NY, United States

        Publication History

        • Published: 1 December 1996

        Check for updates

        Qualifiers

        • article

      PDF Format

      View or Download as a PDF file.

      PDF

      eReader

      View online with eReader.

      eReader