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Improved Cauchy radius for scalar and matrix polynomials


Author: A. Melman
Journal: Proc. Amer. Math. Soc.
MSC (2010): Primary 30C15, 47A56, 65F15
DOI: https://doi.org/10.1090/proc/13826
Published electronically: October 18, 2017
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Abstract: We improve the Cauchy radius of both scalar and matrix polynomials, which is an upper bound on the moduli of the zeros and eigenvalues, respectively, by using appropriate polynomial multipliers.


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Additional Information

A. Melman
Affiliation: Department of Applied Mathematics, School of Engineering, Santa Clara University, Santa Clara, California 95053
Email: amelman@scu.edu

DOI: https://doi.org/10.1090/proc/13826
Keywords: Bound, zero, root, polynomial, eigenvalue, multiplier, matrix polynomial, Cauchy radius.
Received by editor(s): November 17, 2016
Received by editor(s) in revised form: March 15, 2017
Published electronically: October 18, 2017
Communicated by: Walter Van Assche
Article copyright: © Copyright 2017 American Mathematical Society