$\mu$-values and spectral value sets for linear perturbation classes defined by a scalar product
Please always quote using this URN: urn:nbn:de:0296-matheon-4188
We study the variation of the spectrum of matrices
under perturbations which are self- or skew-adjoint
with respect to a scalar product.
Computable formulae are given for the associated
$\mu$-values. The results can be used to calculate spectral value
sets for the perturbation classes under consideration.
We discuss the special case of
complex Hamiltonian perturbations of a Hamiltonian matrix in detail.
| Author: | Michael Karow |
|---|---|
| URN: | urn:nbn:de:0296-matheon-4188 |
| Referee: | Volker Mehrmann |
| Language: | English |
| Date of first Publication: | 27.09.2007 |
| MSC-Classfication: | 15A57 |
| Tag: | $\mu$-values; eigenvalues; linear systems; perturbations; spectral value sets |
| MSC-Classification: | 15A18 Eigenvalues, singular values, and eigenvectors |
| 15A63 Quadratic and bilinear forms, inner products [See mainly 11Exx] | |
| 93C05 Linear systems | |
| 93C73 Perturbations | |
| Preprint Number: | Matheon Preprint #406 |


