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2014•arXiv (Cornell University)Open access

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

E. Kokabifar, Ghasem Barid Loghmani

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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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What this paper is about

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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Available 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.

Key concepts: Polynomial matrix, Matrix polynomial, Eigenvalues and eigenvectors, Mathematics, Lambda, Matrix (chemical analysis), Normal matrix, Polynomial

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