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Bounds and Majorization Relations for the Zeros of Polynomials |
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| Authors: | Fuad Kittaneh Khalid Shebrawi |
| Affiliation: | 1. Department of Mathematics , University of Jordan , Amman, Jordan fkitt@ju.edu.jo;3. Department of Applied Sciences , Al-Balqa' Applied University , Salt, Jordan |
| Abstract: | We use matrix inequalities to prove several bounds and majorization relations for the zeros of polynomials. Our results generalize the classic bound of Montel and improve some other known bounds. |
| Keywords: | Bound Companion matrix Majorization Numerical radius Zeros of a polynomial |