The distance from a matrix polynomial to matrix polynomials with a prescribed multiple eigenvalue |
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Authors: | Nikolaos Papathanasiou |
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Affiliation: | Department of Mathematics, National Technical University of Athens Zografou Campus, 15780 Athens, Greece |
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Abstract: | For a matrix polynomial P(λ) and a given complex number μ, we introduce a (spectral norm) distance from P(λ) to the matrix polynomials that have μ as an eigenvalue of geometric multiplicity at least κ, and a distance from P(λ) to the matrix polynomials that have μ as a multiple eigenvalue. Then we compute the first distance and obtain bounds for the second one, constructing associated perturbations of P(λ). |
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Keywords: | 65F15 65F35 |
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