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.
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.
@article{AIF_1995__45_2_421_0,
author = {Ronga, Felice},
title = {Un proc\'ed\'e d'\'elimination effective et quelques applications},
journal = {Annales de l'Institut Fourier},
volume = {45},
year = {1995},
pages = {421-435},
doi = {10.5802/aif.1460},
mrnumber = {96m:14075},
zbl = {0819.13010},
language = {fr},
url = {http://dml.mathdoc.fr/item/AIF_1995__45_2_421_0}
}
Ronga, Felice. Un procédé d'élimination effective et quelques applications. Annales de l'Institut Fourier, Tome 45 (1995) pp. 421-435. doi : 10.5802/aif.1460. http://gdmltest.u-ga.fr/item/AIF_1995__45_2_421_0/
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