Bounds for the maximum modulus of polynomial roots with nearly optimal worst-case overestimation
Numerical Analysis
2024-11-26 v1 Numerical Analysis
Abstract
Many upper bounds for the moduli of polynomial roots have been proposed but reportedly assessed on selected examples or restricted classes only. Regarding quality measured in terms of worst-case relative overestimation of the maximum root-modulus we establish a simple, nearly optimal result.
Cite
@article{arxiv.2411.16385,
title = {Bounds for the maximum modulus of polynomial roots with nearly optimal worst-case overestimation},
author = {Prashant Batra},
journal= {arXiv preprint arXiv:2411.16385},
year = {2024}
}
Comments
7 pages plus 16-item bibliography