Perturbation of analytic hermitian matrix functions
- 1 July 1985
- journal article
- research article
- Published by Taylor & Francis in Applicable Analysis
- Vol. 20 (1-2) , 23-48
- https://doi.org/10.1080/00036818508839556
Abstract
The behaviour of real eigenvalues of selfadjoint analytic matrix valued functions under small selfadjoint analytic perturbations is studied. Attention is paid mainly to the case when the perturbation is definite (or semidefi-nite). Earlier results of the authors concerning matrix polynomials of first degree are extended to the case of analytic functions.Keywords
This publication has 6 references indexed in Scilit:
- A sign characteristic for selfadjoint meromorphic matrix functionsApplicable Analysis, 1983
- Topics in Differential and Integral Equations and Operator TheoryPublished by Springer Nature ,1983
- Perturbations ofH-selfadjoint matrices, with applications to differential equationsIntegral Equations and Operator Theory, 1982
- Analytic matrix functions with prescribed local dataJournal d'Analyse Mathématique, 1981
- Endlichdimensionale analytische StörungstheoriePublished by Walter de Gruyter GmbH ,1972
- AN OPERATOR GENERALIZATION OF THE LOGARITHMIC RESIDUE THEOREM AND THE THEOREM OF ROUCHÉMathematics of the USSR-Sbornik, 1971