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}, pages = {421--435}, publisher = {Association des Annales de l'institut Fourier}, volume = {45}, number = {2}, year = {1995}, doi = {10.5802/aif.1460}, zbl = {0819.13010}, mrnumber = {96m:14075}, language = {fr}, url = {http://archive.numdam.org/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) no. 2, pp. 421-435. doi : 10.5802/aif.1460. http://archive.numdam.org/item/AIF_1995__45_2_421_0/
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