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

André C.M. Ran; Michał Wojtylak

doi:10.1007/s11785-022-01268-x

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

André C.M. Ran^*, Michał Wojtylak

^*Corresponding author for this work

Mathematics

Research output: Contribution to Journal › Article › Academic › peer-review

Abstract

We 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.

Original language	English
Article number	91
Pages (from-to)	1-13
Number of pages	13
Journal	Complex Analysis and Operator Theory
Volume	16
Issue number	6
Early online date	5 Aug 2022
DOIs	https://doi.org/10.1007/s11785-022-01268-x
Publication status	Published - Sept 2022

Bibliographical note

Funding Information:
The research of the first author was supported in part by the National Research Foundation of South Africa (Grant Number 145688). The research of the second author was funded by the Priority Research Area SciMat under the program Excellence Initiative–Research University at the Jagiellonian University in Kraków (Grant no. U1U/P05/NO/03.55).

Publisher Copyright:
© 2022, The Author(s).

Keywords

Eigenvalues of matrices
Parametric dependence of eigenvalues
Perturbation theory
Puiseux series

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title = "Global Properties of Eigenvalues of Parametric Rank One Perturbations for Unstructured and Structured Matrices II",

abstract = "We 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.",

keywords = "Eigenvalues of matrices, Parametric dependence of eigenvalues, Perturbation theory, Puiseux series",

author = "Ran, {Andr{\'e} C.M.} and Micha{\l} Wojtylak",

note = "Funding Information: The research of the first author was supported in part by the National Research Foundation of South Africa (Grant Number 145688). The research of the second author was funded by the Priority Research Area SciMat under the program Excellence Initiative–Research University at the Jagiellonian University in Krak{\'o}w (Grant no. U1U/P05/NO/03.55). Publisher Copyright: {\textcopyright} 2022, The Author(s).",

year = "2022",

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doi = "10.1007/s11785-022-01268-x",

language = "English",

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AU - Ran, André C.M.

AU - Wojtylak, Michał

N1 - Funding Information: The research of the first author was supported in part by the National Research Foundation of South Africa (Grant Number 145688). The research of the second author was funded by the Priority Research Area SciMat under the program Excellence Initiative–Research University at the Jagiellonian University in Kraków (Grant no. U1U/P05/NO/03.55). Publisher Copyright: © 2022, The Author(s).

PY - 2022/9

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KW - Eigenvalues of matrices

KW - Parametric dependence of eigenvalues

KW - Perturbation theory

KW - Puiseux series

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ER -

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

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