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Locating the Eigenvalues of Matrix Polynomials

✍ Scribed by Bini, Dario A.; Noferini, Vanni; Sharify, Meisam


Book ID
121432008
Publisher
Society for Industrial and Applied Mathematics
Year
2013
Tongue
English
Weight
760 KB
Volume
34
Category
Article
ISSN
0895-4798

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For a matrix polynomial P (Ξ») and a given complex number ΞΌ, we introduce a (spectral norm) distance from P (Ξ») to the matrix polynomials that have ΞΌ as an eigenvalue of geometric multiplicity at least ΞΊ, and a distance from P (Ξ») to the matrix polynomials that have ΞΌ as a multiple eigenvalue. Then w