Journal of Applied Mathematics

Journal of Applied Mathematics / 2003 / Article

Open Access

Volume 2003 |Article ID 971396 | https://doi.org/10.1155/S1110757X0320512X

Mihail Konstantinov, Volker Mehrmann, Petko Petkov, "Perturbed spectra of defective matrices", Journal of Applied Mathematics, vol. 2003, Article ID 971396, 26 pages, 2003. https://doi.org/10.1155/S1110757X0320512X

Perturbed spectra of defective matrices

Received22 May 2002
Revised07 Oct 2002

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 E0 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.

Copyright © 2003 Hindawi Publishing Corporation. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


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