Perturbed spectra of defective matrices

Mihail Konstantinov, Volker Mehrmann and Petko Petkov

Journal of Applied Mathematics, 2003, vol. 2003, issue 3, 115-140

Abstract: This paper is devoted to the perturbation theory for defective matrices. We consider the asymptotic expansions of the perturbed spectrum when a matrix A is changed to A + tE, where E ≠ 0 and t > 0 is a small parameter. In particular, we analyse the rational exponents that may occur when the matrix E varies over the sphere ‖E‖ = ρ > 0. We partially characterize the leading exponents noting that the description of the set of all leading exponents remains an open problem.

Date: 2003
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https://doi.org/10.1155/S1110757X0320512X

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnljam:v:2003:y:2003:i:3:p:115-140

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