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Numerical Radii of Some Companion Matrices and Bounds for the Zeros of Polynomials

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Analytic and Geometric Inequalities and Applications

Part of the book series: Mathematics and Its Applications ((MAIA,volume 478))

Abstract

Let a monic polynomial P n (x):= x n-a1 x n-1-…-a n ,a j ∈C, j = 1,2,…, n, be given. Bounds for the the numerical radii of some special companion matrices of P n are computed. From these estimates bounds for the zeros of P n are derived.

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© 1999 Springer Science+Business Media Dordrecht

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Linden, H. (1999). Numerical Radii of Some Companion Matrices and Bounds for the Zeros of Polynomials. In: Rassias, T.M., Srivastava, H.M. (eds) Analytic and Geometric Inequalities and Applications. Mathematics and Its Applications, vol 478. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-4577-0_13

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  • DOI: https://doi.org/10.1007/978-94-011-4577-0_13

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-5938-1

  • Online ISBN: 978-94-011-4577-0

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