Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. [BCR 1987]
    Bochnak, J., M. Coste, M-F. Roy: “Géométrie algebrique réelle”, Springer Verlag, Berlin (1987).Google Scholar
  2. [Cau 1815]
    Cauchy, A. L.: “Sur la Détermination du nombre des Racines réelles dans les Équations algébriques”, Journal de L'École Polytechnique, Cahier 17, Tome X, Paris (1815).Google Scholar
  3. [Gan 1977]
    Gantmacher, F. R.: “The Theory of Matrices, vol I., Chelsea Publishing Company, New York, NY (1977).Google Scholar
  4. [Her 1852]
    Hermite, C.: “Sur L'Extension du Théorème de M. Sturm a un Système D'Équations Simultanées”, Comptes rendus des s'eances de l'Académie des Sciences, tome XXXV, 1852.Google Scholar
  5. [Ioh 1982]
    Iohovidov, S. I.: “Hankel and Toeplitz Matrices and Forms”, Birkhäuser, (1982).Google Scholar
  6. [Mac 1902]
    Macaulay, F. S.: “Some Formulae in Elimination”, Proceedings of the London Mathematical Society, (1) 33 (1903), 3–27.Google Scholar
  7. [Mil 1990]
    Milne, P.: “On the Solutions of a Set of Polynomial Equations”, (unpublished preprint), Bath University (1990).Google Scholar
  8. [P 1991]
    Pedersen, P.: “Calculating multidimensional symmetric functions using Jacobi's formula”, Proc. AAECC (1991).Google Scholar
  9. [P 1991a]
    Pedersen, P.: “Counting Real Zeros”, thesis New York University (1991).Google Scholar
  10. [Ren 1989]
    Renegar, J.: “On the Computational Complexity and Geometry of the First-Order Theory of the Reals”, parts I–III, Cornell School of Operations Research and Industrial Engineering (ORIE) tech reports 853,854,856 (1989).Google Scholar
  11. [Stu 1904]
    Sturm, C.: “Über die Auflösung der Numerischen Gleichungen (1835)”, in the series “Ostwald's Klassiker der Exacten Wissenschaften”, Nr. 143, Wilhelm Engelmann, Leipzig (1904).Google Scholar
  12. [Tar 1951]
    Tarski, A.: “A Decision Method for Elementary Algebra and Geometry”, University of California Press, Berkeley (1951).Google Scholar

Copyright information

© Springer-Verlag 1991

Authors and Affiliations

  • Paul Pedersen
    • 1
  1. 1.New York UniversityUSA

Personalised recommendations