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9.4 Bibliographical Notes
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F. R. Gantmacher, Theory of matrices, Vol I. AMS-Chelsea (2000).
L. Gonzalez Vega, H. Lombardi, T. Recio, M.-F. Roy, Spécialisation de la suite de Sturm et sous-résultants II, Informatique théorique et applications 28 1–24 (1994).
C. Hermite, Sur l’indice des fractions rationnelles, Bull. Soc. Math. France, tome 7, 128–131 (1879).
A. Hurwitz, über die Bedingungen, unter welchen eine Gleichnung nur Wurzeln mit negativen reellen Theilen besitzt, Math. Annalen, vol. 46, 273–284 (1895).
W. Krandick, K. Mehlhorn, New bounds for the Descartes method, Journal of Symbolic Computation, vol. 41, 49–66 (2006).
A. Liénard, M. H. ChipartSur le signe de la partie réelle des racines d’une équation algébrique, J. Math. Pures Appl. (6) 10 291–346 (1914).
M.-F. Routh, Stability of a given state of motion, London (1877), The advanced part of a treatise of the system of rigid bodies Dover, New York (1955).
M.-F. Roy, Basic algorithms in real algebraic geometry: from Sturm theorem to the existential theory of reals, Lectures on Real Geometry in memoriam of Mario Raimondo, de Gruyter Expositions in Mathematics, 1–67 (1996).
J. J. Sylvester, On a theory of syzygetic relations of two rational integral functions, comprising an application to the theory of Sturm’s function. Trans. Roy. Soc. London (1853).
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(2006). Cauchy Index and Applications. In: Algorithms in Real Algebraic Geometry. Algorithms and Computation in Mathematics, vol 10. Springer, Berlin, Heidelberg . https://doi.org/10.1007/3-540-33099-2_10
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