Bounds and a majorization for the real parts of the zeros of polynomials

Kittaneh, Fuad

doi:10.1090/S0002-9939-06-08509-1

Bounds and a majorization for the real parts of the zeros of polynomials
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Proc. Amer. Math. Soc. 135 (2007), 659-664 Request permission

Abstract:

We apply some eigenvalue inequalities to the real parts of the Frobenius companion matrices of monic polynomials to establish new bounds and a majorization for the real parts of the zeros of these polynomials.

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