Perturbed spectra of defective matrices
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 va...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2003-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/S1110757X0320512X |
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| Summary: | 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. |
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| ISSN: | 1110-757X 1687-0042 |