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5 March 2003 Perturbed spectra of defective matrices
Mihail Konstantinov, Volker Mehrmann, Petko Petkov
J. Appl. Math. 2003(3): 115-140 (5 March 2003). DOI: 10.1155/S1110757X0320512X


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.


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Mihail Konstantinov. Volker Mehrmann. Petko Petkov. "Perturbed spectra of defective matrices." J. Appl. Math. 2003 (3) 115 - 140, 5 March 2003.


Published: 5 March 2003
First available in Project Euclid: 7 April 2003

zbMATH: 1039.15002
MathSciNet: MR1982353
Digital Object Identifier: 10.1155/S1110757X0320512X

Primary: 15A18‎ , 65F15

Rights: Copyright © 2003 Hindawi

Vol.2003 • No. 3 • 5 March 2003
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