Localization and Perturbations of Roots to Systems of Polynomial Equations
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.
Saved in:
Main Author: | Michael Gil' |
---|---|
Format: | Article |
Language: | English |
Published: |
Wiley
2012-01-01
|
Series: | International Journal of Mathematics and Mathematical Sciences |
Online Access: | http://dx.doi.org/10.1155/2012/653914 |
Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Similar Items
-
On polynomial equations in Banach space, perturbation techniques and applications
by: Ioannis K. Argyros
Published: (1987-01-01) -
Norm Estimates for Solutions of Polynomial Operator Equations
by: Michael Gil’
Published: (2015-01-01) -
On the roots of the substitution Dickson polynomials
by: Javier Gomez-Calderon
Published: (2002-01-01) -
Real Root Polynomials and Real Root Preserving Transformations
by: Suchada Pongprasert, et al.
Published: (2021-01-01) -
Polynomials in Control Theory Parametrized by Their Roots
by: Baltazar Aguirre-Hernández, et al.
Published: (2012-01-01)