Global Properties of Eigenvalues of Parametric Rank One Perturbations for Unstructured and Structured Matrices II-Reference-Cited by-同舟云学术

Global Properties of Eigenvalues of Parametric Rank One Perturbations for Unstructured and Structured Matrices II

Published:2022-08-05 Issue:6 Volume:16 Page:
ISSN:1661-8254
Container-title:Complex Analysis and Operator Theory
language:en
Short-container-title:Complex Anal. Oper. Theory

Author:

Ran André C. M.^ORCID,Wojtylak Michał^ORCID

Abstract

AbstractWe present in this note a correction to Theorem 17 in Ran and Wojtylak (Compl. Anal. Oper. Theory 15:44, 2021) and sharpen the estimates for eigenvalues of parametric rank one perturbations given in that theorem.

Funder

Uniwersytet Jagiellonski w Krakowie

National Research Foundation

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Computational Theory and Mathematics,Computational Mathematics

Link

https://link.springer.com/content/pdf/10.1007/s11785-022-01268-x.pdf

Reference4 articles.

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2. Möller, M., Pivovarchik, V.: Spectral Theory of Operator Pencils, Hermite-Biehler Functions, and their Applications. Oper. Theory Adv. and Appl. 246, Birkhäuser, (2015)

3. Ran, A.C.M., Wojtylak, M.: Eigenvalues of rank one perturbations of unstructured matrices. Linear Algebra Appl. 437, 589–600 (2012)

4. Ran, A.C.M., Wojtylak, M.: Global properties of eigenvalues of parametric rank one perturbations for unstructured and structured matrices. Compl. Anal. Oper. Theory 15, 44 (2021)

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