Abstract
General properties of eigenvalues of A+ τuv∗ as functions of τ∈ C or τ∈ R or τ=eiθ on the unit circle are considered. In particular, the problem of existence of global analytic formulas for eigenvalues is addressed. Furthermore, the limits of eigenvalues with τ→ ∞ are discussed in detail. The following classes of matrices are considered: complex (without additional structure), real (without additional structure), complex H-selfadjoint and real J-Hamiltonian.
| Original language | English |
|---|---|
| Article number | 44 |
| Pages (from-to) | 1-27 |
| Number of pages | 27 |
| Journal | Complex Analysis and Operator Theory |
| Volume | 15 |
| Issue number | 3 |
| Early online date | 9 Mar 2021 |
| DOIs | |
| Publication status | Published - Apr 2021 |
Bibliographical note
Publisher Copyright:© 2021, The Author(s).
Copyright:
Copyright 2021 Elsevier B.V., All rights reserved.
Keywords
- Eigenvalue perturbation theory
Fingerprint
Dive into the research topics of 'Global Properties of Eigenvalues of Parametric Rank One Perturbations for Unstructured and Structured Matrices'. Together they form a unique fingerprint.Cite this
- APA
- Author
- BIBTEX
- Harvard
- Standard
- RIS
- Vancouver