$\mu$-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.

Additional Services

    Share in Twitter Search Google Scholar
Metadaten
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