On the distance from a normal matrix polynomial to the set of matrix polynomials with a prescribed multiple eigenvalue

2014/01/02 by Kokabifar, Esmaeil, Loghmani, Ghasem Barid
#FOS: Mathematics #Numerical Analysis (math.NA)

paper · doi:10.48550/arxiv.1401.0485

Abstract

This paper concerns the bounds for spectral norm distance from a normal matrix polynomial P(λ) to the set of matrix polynomials that have μ as a multiple eigenvalue. Also construction of associated perturbations of P(λ) is considered.

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