Bounds for zeros of a polynomial using numerical radius of Hilbertian space operators
Functional Analysis
2024-08-23 v2
Abstract
We obtain bounds for the numerical radius of operator matrices which improve on the existing bounds. We also show that the inequalities obtained here generalize the existing ones. As an application of the results obtained here we estimate the bounds for the zeros of a monic polynomial and illustrate with numerical examples that the bounds are better than the existing ones.
Keywords
Cite
@article{arxiv.1906.07363,
title = {Bounds for zeros of a polynomial using numerical radius of Hilbertian space operators},
author = {Pintu Bhunia and Santanu Bag and Kallol Paul},
journal= {arXiv preprint arXiv:1906.07363},
year = {2024}
}