A bound for the matching distance between eigenvalues of matrices

Research output: Contribution to journalArticlepeer-review

Abstract

We derive a new bound for the matching optimal distance between eigenvalues of two matrices in terms of the spectral and Hilbert-Schmidt (Frobenius) norms. In the appropriate situations our results are considerably sharper than the wellknown bounds.

Original languageEnglish
Pages (from-to)95-102
Number of pages8
JournalPublicationes Mathematicae Debrecen
Volume102
Issue number1-2
DOIs
StatePublished - 1 Jan 2023

Keywords

  • eigenvalues
  • matrices
  • perturbation

ASJC Scopus subject areas

  • General Mathematics

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