Eigenvalue continuity and GerŠgorin’s theorem

Research output: Contribution to journalArticlepeer-review

Abstract

Two types of eigenvalue continuity are commonly used in the literature. However, their meanings and the conditions under which continuities are used are not always stated clearly. This can lead to some confusion and needs to be addressed. In this note, the Geršgorin disk theorem is revisited and the issue concerning the proofs of the theorem by continuity is clarified.

Original languageEnglish
Article number44
Pages (from-to)619-625
Number of pages7
JournalElectronic Journal of Linear Algebra
Volume35
Issue number1
DOIs
StatePublished - 2019

Bibliographical note

Publisher Copyright:
© 2019, International Linear Algebra Society. All rights reserved.

ASJC Scopus Subject Areas

  • Algebra and Number Theory

Keywords

  • Eigenvalue continuity
  • Geršgorin disk theorem
  • Root continuity

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