JP Journal of Algebra, Number Theory and Applications
Volume 41, Issue 2, Pages 253 - 264
(February 2019) http://dx.doi.org/10.17654/NT041020253 |
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NEW BOUNDS FOR THE ZEROS OF POLYNOMIALS BY USING SPECTRAL RADIUS INEQUALITIES AND SIMILAR MATRICES
Mohammad Al-Hawari
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Abstract: In this paper, we apply several matrix inequalities to the similar Frobenius companion matrices of monic polynomials to derive new bounds for the zeros of these polynomials which are better than other bounds. |
Keywords and phrases: bounds for the zeros of polynomials, companion matrix, spectral norm, spectral radius.
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