Eigenvalue bounds for matrix polynomials in generalized bases-Reference-Cited by-同舟云学术

Eigenvalue bounds for matrix polynomials in generalized bases

Published:2017-09-19 Issue:312 Volume:87 Page:1935-1948
ISSN:0025-5718
Container-title:Mathematics of Computation
language:en
Short-container-title:Math. Comp.

Author:

Melman A.

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.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,Computational Mathematics,Algebra and Number Theory

Link

http://www.ams.org/mcom/2018-87-312/S0025-5718-2017-03252-X/S0025-5718-2017-03252-X.pdf

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