Free Access
Issue
RAIRO-Theor. Inf. Appl.
Volume 24, Number 6, 1990
Page(s) 561 - 588
DOI https://doi.org/10.1051/ita/1990240605611
Published online 01 February 2017
  1. 1. A. C. AITKEN, On te Evaluation of Determinants, the Formation of their Adjugates, and the Practical Solution of Simultaneous Linear Equations, Proc. Edinburgh Math. Soc., série 2, III, 1932, p. 207-219. [Zbl: 0006.14702] [Google Scholar]
  2. 2. E. H. BAREISS, Sylvester's Identity and Multistep Integer Preserving Gaussian Elimination, Math. Comp., 22, 565-578 (1968). [MR: 226829] [Zbl: 0187.09701] [Google Scholar]
  3. 3. BORCHARDT, Zur Theorie der Elimination und Kettenbruch-Entwichlung, Math. Abh. der Akad. der Wissenschaften zu Berlin, 1878, p. 1-17. [Google Scholar]
  4. 4. W. S. BROWN, On Euclid's Algorithm and the Computation of Polynomial Greatest Common Divisors, J.A.C.M., 1971, 18, p. 476-504. [MR: 307450] [Zbl: 0226.65040] [Google Scholar]
  5. 5. W. S. BROWN et J. F. TRAUB, On Euclid's Algorithm and the Theory of Subresultants, J.A.C.M., 1971, 18, p. 505-514. [MR: 303684] [Zbl: 0226.65041] [Google Scholar]
  6. 6. M. CHARDIN, Un algorithme pour le calcul du résultant de trois polynômes homogènes en trois variables, Centre de Mathématiques et Laboratoire d'informatique, Ecole Polytechnique, 91128 Palaiseau Cedex (prépublication). [Google Scholar]
  7. 7. G. E. COLLINS, Subresultants and Reduced Polynomial Remainder Séquences, J.A.C.M., 1967, 14, p. 128-142. [MR: 215512] [Zbl: 0152.35403] [Google Scholar]
  8. 8. M. COSTE et M.-F. ROY, Thom's Lemma, the Coding of Real Algebraic Numbers and the Computation of the Topology of Semi-AIgebraic Sets, J. Symbolic Computations, 1988, 5, p. 121-129. [MR: 949115] [Zbl: 0689.14006] [Google Scholar]
  9. 9. L. GONZALEZ, H. LOMBARDI, T. RECIO et M.-F. ROY, Spécialisation de la suite de Sturm et sous-résultants (II), R.A.I..R.O., 1990, p.000-000. [EuDML: 273943] [Zbl: 0732.68059] [Google Scholar]
  10. 10. L. GONZALEZ H. LOMBARDI T. RECIO et M.-F. ROY, Sturm-Habicht Sequences, Proceedings I.S.S.A.C, 1989, p. 136-146. [Google Scholar]
  11. 11. L. GONZALEZ, H. LOMBARDI, T. RECIO et M.-F. ROY, Spécialisation de la suite du Sturm et sous-résultants, version détaillée, CALSYF, Journées du GRECO de Calcul Formel, 1989. [Zbl: 0732.68059] [Google Scholar]
  12. 12. W. HABICHT, Eine Verallgemeinerung des Sturmschen Wurzelzählverfahrens, Comm. Math. Helvetici, 1948, 21 p. 99-116. [EuDML: 138937] [MR: 23796] [Zbl: 0029.24402] [Google Scholar]
  13. 13. A. LASCOUX, La résultante de deux polynômes, Séminaire d'Algèbre M. P. Malliavin, Lecture Notes in Math., 1984-1985. [MR: 926297] [Zbl: 0605.13007] [Google Scholar]
  14. 14. H. LOMBARDI, Sous-résultants, suite de Sturm, spécialisation, Publications Mathématiques de Besançon (Théorie des Nombres). 1988-89, fascicule 2. [MR: 1052949] [Google Scholar]
  15. 15. R. Loos, Generalized Polynomial Reaminder Sequences, Computer Algebra, Symbolic and Algebraic Computation, Buchberger, Collins, Loos éd., Springer-Verlag, 1982, p. 115-138. [MR: 728969] [Zbl: 0577.13001] [Google Scholar]
  16. 16. M. MIGNOTTE, Some useful bounds, Computer Algebra, Symbolic and Algebraic Computation, Buchberger, Collins, Loos éd., Springer-Verlag, 1982, p. 259-263. [MR: 728976] [Zbl: 0498.12019] [Google Scholar]
  17. 17. C. STURM, Mémoire sur la résolution des équations numériques, Inst. France Sc. Math. Phys., 1835, 6. [Google Scholar]
  18. 18. 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; repris dans Sylvester : Collected Math Papers, Chelsea Pub. Comp. NY, 1983, 1, p. 429-586. [Google Scholar]

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