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Eigenvalue bounds for matrix polynomials in generalized bases


Author: A. Melman
Journal: Math. Comp. 87 (2018), 1935-1948
MSC (2010): Primary 15A18, 47A56, 65F15
DOI: https://doi.org/10.1090/mcom/3252
Published electronically: September 19, 2017
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Abstract: We derive inclusion regions for the eigenvalues of matrix polynomials expressed in a general polynomial basis, which can lead to significantly better results than traditional bounds. We present several applications to engineering problems.


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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/mcom/3252
Keywords: Bound, eigenvalue, matrix polynomial, generalized.
Received by editor(s): February 19, 2016
Received by editor(s) in revised form: August 14, 2016, and November 22, 2016
Published electronically: September 19, 2017
Article copyright: © Copyright 2017 American Mathematical Society

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