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Bounds and a majorization for the real parts of the zeros of polynomials
Author(s):
Fuad
Kittaneh
Journal:
Proc. Amer. Math. Soc.
135
(2007),
659-664.
MSC (2000):
Primary 15A18, 15A42, 26C10, 30C15
Posted:
August 31, 2006
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Additional information
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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Additional Information:
Fuad
Kittaneh
Affiliation:
Department of Mathematics, University of Jordan, Amman, Jordan
Email:
fkitt@ju.edu.jo
DOI:
10.1090/S0002-9939-06-08509-1
PII:
S 0002-9939(06)08509-1
Keywords:
Frobenius companion matrix,
zeros of polynomials,
eigenvalue,
majorization
Received by editor(s):
August 9, 2004
Received by editor(s) in revised form:
September 28, 2005
Posted:
August 31, 2006
Communicated by:
Joseph A. Ball
Copyright of article:
Copyright
2006,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
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