Perturbed spectra of defective matrices

Mihail Konstantinov, Volker Mehrmann and Petko Petkov

Journal of Applied Mathematics, 2003, vol. 2003, 1-26

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 + t E , 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
References: Add references at CitEc
Citations:

Downloads: (external link)
http://downloads.hindawi.com/journals/JAM/2003/971396.pdf (application/pdf)
http://downloads.hindawi.com/journals/JAM/2003/971396.xml (text/xml)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:hin:jnljam:971396

DOI: 10.1155/S1110757X0320512X

Access Statistics for this article

More articles in Journal of Applied Mathematics from Hindawi
Bibliographic data for series maintained by Mohamed Abdelhakeem ().