Perturbed spectra of defective matrices
Konstantinov, Mihail ; Mehrmann, Volker ; Petkov, Petko
J. Appl. Math., Tome 2003 (2003) no. 1, p. 115-140 / Harvested from Project Euclid
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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 $E\neq 0$ 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 $\|E\| = \rho > 0$ . We partially characterize the leading exponents noting that the description of the set of all leading exponents remains an open problem.
Publié le : 2003-03-05
Classification:  15A18,  65F15 
@article{1049725733,
     author = {Konstantinov, Mihail and Mehrmann, Volker and Petkov, Petko},
     title = {Perturbed spectra of defective matrices},
     journal = {J. Appl. Math.},
     volume = {2003},
     number = {1},
     year = {2003},
     pages = { 115-140},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1049725733}
}

Konstantinov, Mihail; Mehrmann, Volker; Petkov, Petko. Perturbed spectra of defective matrices. J. Appl. Math., Tome 2003 (2003) no. 1, pp.  115-140. http://gdmltest.u-ga.fr/item/1049725733/