Spécialisation de la suite de Sturm

Laureano González-Vega; Henri Lombardi; Tomas Recio; Marie-Françoise Roy

RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications (1994)

  • Volume: 28, Issue: 1, page 1-24
  • ISSN: 0988-3754

How to cite

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González-Vega, Laureano, et al. "Spécialisation de la suite de Sturm." RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications 28.1 (1994): 1-24. <http://eudml.org/doc/92467>.

@article{González1994,
author = {González-Vega, Laureano, Lombardi, Henri, Recio, Tomas, Roy, Marie-Françoise},
journal = {RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications},
keywords = {Sturm-Habicht sequence; subresultant polynomials},
language = {fre},
number = {1},
pages = {1-24},
publisher = {EDP-Sciences},
title = {Spécialisation de la suite de Sturm},
url = {http://eudml.org/doc/92467},
volume = {28},
year = {1994},
}

TY - JOUR
AU - González-Vega, Laureano
AU - Lombardi, Henri
AU - Recio, Tomas
AU - Roy, Marie-Françoise
TI - Spécialisation de la suite de Sturm
JO - RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications
PY - 1994
PB - EDP-Sciences
VL - 28
IS - 1
SP - 1
EP - 24
LA - fre
KW - Sturm-Habicht sequence; subresultant polynomials
UR - http://eudml.org/doc/92467
ER -

References

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  1. [Fro] FROBENIUS, Uber das Traegheitsgesetz des quadratishen Formen, S-B Pruss. Akad. Wiss., Marz 1984, 241-256; Mai 1984, 403-431. JFM25.0318.01
  2. [Gan] Fr. GANTMACHER, Théorie des matrices, t. I, Dunod 1966. Zbl0136.00410
  3. [GLRR1] L. GONZALEZ, H. LOMBARDI, T. RECIO, M.-F. ROY, Spécialisation de la suite de Sturm et sous-résultants (I), Inf. Théorique et Appl., 1990, 6, 561-588. Zbl0732.68059MR1082916
  4. [GLRR2] L. GONZALEZ, H. LOMBARDI, T. RECIO et M.-F. ROY, Sturm-Habicht sequences, Proceedings ISSAC, 1989. 
  5. [GLRR3] L. GONZALEZ, H. LOMBARDI, T. RECIO, M.-F. ROY, Spécialisation de la suite de Sturm et sous-résultants, Version détaillée, dans CALSYF (journées du GRECO de Calcul Formel) 1989. 
  6. [GLRR4] L. GONZÁLEZ-VEGA, H. LOMBARDI, T. RECIO, M.-F. ROY, Determinants and real roots of univariate polynomials. A paraître dans : Special volume of the series "Texts and Monographs in Symbolic Computation" (Springer-Verlag) ayant pour titre : 25 years of Quantifier Elimination and Cylindrical Algebraic Decomposition, (Compte-rendus du Symposium on quantifier elimination andcylindrical algebraic decomposition. Linz. 6-8 oct. 93). Zbl0900.12002
  7. [Gon] L. GONZALEZ, The Proof of the Sylvester Theorem Through Habicht Sequences, Preprint, Université de Santander, 1988. 
  8. [Hab] W. HABICHT, Eine Verallgemeinerung des Sturmschen Wurzel zählverfahrens, Comm. Math. Helvetici, 1948, 21, 99-116. Zbl0029.24402MR23796
  9. [Her] C. HERMITE, Remarques sur le théorème de Sturm, C.R. Acad. Sci. Paris, 1853, 36, 52-54. 
  10. [KrN] M. G. KREIN, M. A. NAIMARK, The Method of Symmetric and Hermitian Forms on the Theory of the Separation of the Roots of Algebraic Equations, Originairement publié à Kharkov (1936), Lin. Multilinear algebra, 1981, 10, 265-308. Zbl0584.12018MR638124
  11. [Syl] J. J. SYLVESTER, On a Theory of Syzygetic Relations of Two Rational Intégral Functions, Comprising an Application to the Theory of Sturm's Function, Trans. Roy. Soc. London, 1853. Reprint dans : Sylvester, Collected Math. Papers, Chelsea Pub. Comp. NY, 1983, vol. 1, 429-586. 
  12. [Val] A. VALLIBOUZE, Fonctions symétriques et changements de base, Thèse, Université Paris-VI, 1987. 

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