International Journal of Mathematics and Mathematical Sciences
Volume 2012 (2012), Article ID 653914, 9 pages
http://dx.doi.org/10.1155/2012/653914
Research Article

Localization and Perturbations of Roots to Systems of Polynomial Equations

Michael Gil'

Department of Mathematics, Ben Gurion University of the Negev, P.O. Box 653, Beer-Sheva 84105, Israel

Received 20 March 2012; Accepted 28 May 2012

Academic Editor: Andrei Volodin

Copyright © 2012 Michael Gil'. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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.