Inequalities on upper bounds for real polynomial roots

Authors:
Doru Ştefănescu
Affiliations:
University of Bucharest, Romania
Venue:
CASC'06 Proceedings of the 9th international conference on Computer Algebra in Scientific Computing
Year:
2006

Citing 4
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Abstract

In this paper we propose two methods for the computation of upper bounds of the real roots of univariate polynomials with real coefficients. Our results apply to polynomials having at least one negative coefficient. The upper bounds of the real roots are expressed as functions of the first positive coefficients and of the two largest absolute values of the negative ones.