Localization and perturbations of roots to systems of polynomial equations

Michael Gil

doi:10.1155/2012/653914

Localization and perturbations of roots to systems of polynomial equations

Michael Gil

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

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 language	English
Article number	653914
Journal	International Journal of Mathematics and Mathematical Sciences
Volume	2012
DOIs	https://doi.org/10.1155/2012/653914
State	Published - 17 Aug 2012

ASJC Scopus subject areas

Mathematics (miscellaneous)

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Localization and perturbations of roots to systems of polynomial equations

Abstract

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