Please use this identifier to cite or link to this item: http://dx.doi.org/10.14279/depositonce-6548
Main Title: μ-values and spectral value sets for linear perturbation classes defined by a scalar product
Author(s): Karow, Michael
Type: Article
Language Code: en
Abstract: We study the variation of the spectrum of matrices under perturbations which are self- or skew-adjoint with respect to a scalar product. Computable formulas are given for the associated μ-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.
URI: https://depositonce.tu-berlin.de//handle/11303/7275
http://dx.doi.org/10.14279/depositonce-6548
Issue Date: 6-Sep-2011
Date Available: 14-Dec-2017
DDC Class: DDC::500 Naturwissenschaften und Mathematik::510 Mathematik::512 Algebra
DDC::500 Naturwissenschaften und Mathematik::510 Mathematik::519 Wahrscheinlichkeiten, angewandte Mathematik
Subject(s): linear systems
eigenvalues
perturbations
spectral value sets
μ-values
Usage rights: Terms of German Copyright Law
Journal Title: SIAM Journal on Matrix Analysis and Applications
Publisher: Society for Industrial and Applied Mathematics
Publisher Place: Philadelphia, Pa.
Volume: 32
Issue: 3
Publisher DOI: 10.1137/090774896
Page Start: 845
Page End: 865
EISSN: 1095-7162
ISSN: 0895-4798
Appears in Collections:Fachgebiet Numerische Lineare Algebra » Publications

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