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

top

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

top
  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. 

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.