Un procédé d'élimination effective et quelques applications

Felice Ronga

Annales de l'institut Fourier (1995)

  • Volume: 45, Issue: 2, page 421-435
  • ISSN: 0373-0956

Abstract

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With the help of the effective Nullstellensatz, we give explicit lower and upper bounds for the non-zero critical values of a polynomial in terms of its coefficients.

How to cite

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Ronga, Felice. "Un procédé d'élimination effective et quelques applications." Annales de l'institut Fourier 45.2 (1995): 421-435. <http://eudml.org/doc/75124>.

@article{Ronga1995,
abstract = {À l’aide du Nullstellensatz effectif, on trouve des bornes inférieure et supérieure explicites des valeurs critiques non nulles d’un polynôme, en termes des coefficients de celui-ci.},
author = {Ronga, Felice},
journal = {Annales de l'institut Fourier},
keywords = {effective elimination; effective Nullstellensatz},
language = {fre},
number = {2},
pages = {421-435},
publisher = {Association des Annales de l'Institut Fourier},
title = {Un procédé d'élimination effective et quelques applications},
url = {http://eudml.org/doc/75124},
volume = {45},
year = {1995},
}

TY - JOUR
AU - Ronga, Felice
TI - Un procédé d'élimination effective et quelques applications
JO - Annales de l'institut Fourier
PY - 1995
PB - Association des Annales de l'Institut Fourier
VL - 45
IS - 2
SP - 421
EP - 435
AB - À l’aide du Nullstellensatz effectif, on trouve des bornes inférieure et supérieure explicites des valeurs critiques non nulles d’un polynôme, en termes des coefficients de celui-ci.
LA - fre
KW - effective elimination; effective Nullstellensatz
UR - http://eudml.org/doc/75124
ER -

References

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  1. [1] W.D. BROWNAWELL, Bounds for the degrees in the Nullstellensatz, Ann. of Math., 126 (1987), 577-591. Zbl0641.14001MR89b:12001
  2. [2] J. HEINTZ, M.-F. ROY, P. SOLERNÓ, Sur la complexité du principe de Tarsky-Seidenberg, Bulletin de la Société Mathématique de France, 118 (1990), 101-126. Zbl0767.03017MR92g:03047
  3. [3] D. YU GRIGOR'EV and N.N. VOROBJOV (Jr), Solving Systems of Polynomial Inequalities in Subexponential Time, J. Symbolic Computation, 5 (1988), 37-64. Zbl0662.12001MR89h:13001
  4. [4] R. GÜTING, Polynomials with multiple zeros, Mathematika, 14 (1967), 181-196. Zbl0173.05101MR36 #6592
  5. [5] J. KOLLÁR, Sharp effective Nullstellensatz, Journal of the American Math. Soc., 1 (1988), 963-975. Zbl0682.14001MR89h:12008
  6. [6] F. RONGA, Recherche de solutions d'inéquations polynomiales, Astérisque, 192 (1990), 11-16. Zbl0767.26011MR92f:13032

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