On localization of the eigenvalues of matrices "close" to triangular ones

DOI10.15672/hujms.995747OpenAlexW4221115040WikidataQ114051793 ScholiaQ114051793MaRDI QIDQ5870807

Michael I. Gil'

Publication date: 23 January 2023

Published in: Hacettepe Journal of Mathematics and Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.15672/hujms.995747

zbMATH Keywords

matriceslocalization of eigenvaluesOstrowski theorem

Mathematics Subject Classification ID

Inequalities involving eigenvalues and eigenvectors (15A42) Eigenvalues, singular values, and eigenvectors (15A18)

Cites Work

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• Geršgorin discs revisited
• Perturbations of determinants of matrices
• Über die Determinanten mit überwiegender Hauptdiagonale
• Limits for the characteristic roots of a matrix. II
• Optimal Gersgorin-style estimation of the largest singular value. II
• Eigenvalue continuity and Ger\v{s}gorin's theorem
• An implicit algorithm for computing the minimal Gersgorin set

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