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Bochnak, J., M. Coste, M-F. Roy: “Géométrie algebrique réelle”, Springer Verlag, Berlin (1987).
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).
Gantmacher, F. R.: “The Theory of Matrices, vol I., Chelsea Publishing Company, New York, NY (1977).
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.
Iohovidov, S. I.: “Hankel and Toeplitz Matrices and Forms”, Birkhäuser, (1982).
Macaulay, F. S.: “Some Formulae in Elimination”, Proceedings of the London Mathematical Society, (1) 33 (1903), 3–27.
Milne, P.: “On the Solutions of a Set of Polynomial Equations”, (unpublished preprint), Bath University (1990).
Pedersen, P.: “Calculating multidimensional symmetric functions using Jacobi's formula”, Proc. AAECC (1991).
Pedersen, P.: “Counting Real Zeros”, thesis New York University (1991).
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).
Sturm, C.: “Über die Auflösung der Numerischen Gleichungen (1835)”, in the series “Ostwald's Klassiker der Exacten Wissenschaften”, Nr. 143, Wilhelm Engelmann, Leipzig (1904).
Tarski, A.: “A Decision Method for Elementary Algebra and Geometry”, University of California Press, Berkeley (1951).
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Pedersen, P. (1991). Multivariate Sturm theory. In: Mattson, H.F., Mora, T., Rao, T.R.N. (eds) Applied Algebra, Algebraic Algorithms and Error-Correcting Codes. AAECC 1991. Lecture Notes in Computer Science, vol 539. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-54522-0_120
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DOI: https://doi.org/10.1007/3-540-54522-0_120
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