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Perturbation on Polynomials

For univariate polynomials with complex coefficients there are many estimates about the roots of polynomials. Moreover, the result corresponding to the “continuity of the zeroes which respect to the coefficients” is generally obtained as a corollary of Rouche ?’s theorem and is rarely precise. Here we prove an explicit result for algebraically closed fields with an absolute value, in any characteristic.

Auteur(s) : Ismaïla DIOUF, Babacar Diakhaté, Abdoul O. Watt
Année de publication : 2013
Revue : Journal of Mathematics Research
N° de volume : 5
Type : Article
Mise en ligne par : DIOUF Ismaïla