Bounds and Majorization Relations for the Zeros of Polynomials

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.

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Bibliographic Details
Published in:Numerical functional analysis and optimization 2009-01, Vol.30 (1-2), p.98-110
Main Authors: Kittaneh, Fuad, Shebrawi, Khalid
Format: Article
Language:English
Subjects:
Bound
Companion matrix
Majorization
Numerical radius
Zeros of a polynomial
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Description
Summary: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.
ISSN:0163-0563
1532-2467
DOI:10.1080/01630560802679083