Localization and perturbations of roots to systems of polynomial equations

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Abstract

We establish estimates for the sums of absolute values of solutions of a zero-dimensional polynomial system. By these estimates, inequalities for the counting function of the roots are derived. In addition, bounds for the roots of perturbed systems are suggested.

Original languageEnglish
Article number653914
JournalInternational Journal of Mathematics and Mathematical Sciences
Volume2012
DOIs
StatePublished - 17 Aug 2012

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