Perturbation on Polynomials

Ismaila Diouf, Babacar Diakhate, Abdoul O. Watt

Abstract


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 Rouch\'e's theorem and is rarely precise. Here we prove an explicit result for algebraically closed fields with an absolute value, in any characteristic.

Full Text: PDF DOI: 10.5539/jmr.v5n3p51

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Journal of Mathematics Research   ISSN 1916-9795 (Print)   ISSN 1916-9809 (Online)

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