A note on the location of polynomial roots
Numerical Analysis
2007-05-23 v1
Abstract
We review some known inclusion results for the roots of a polynomial, and adapt them to a conjecture recently presented by S. A. Vavasis. In particular, we provide strict upper and lower bounds to the distance of the closest root of a polynomial p(z) from a given root of p'(z).
Cite
@article{arxiv.math/0609297,
title = {A note on the location of polynomial roots},
author = {Dario A. Bini and Federico Poloni},
journal= {arXiv preprint arXiv:math/0609297},
year = {2007}
}
Comments
7 pages