Minimal sets alternative to minimal Geršgorin sets

DOI10.1016/j.apnum.2009.09.005zbMath1195.15021OpenAlexW2010866132MaRDI QIDQ972311

Juan Manuel Peña, Ljiljana Cvetković

Publication date: 25 May 2010

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apnum.2009.09.005

zbMATH Keywords

eigenvalue localizationGeršgorin theoremminimal Geršgorin set

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Inequalities involving eigenvalues and eigenvectors (15A42)

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Cites Work

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• \(H\)-matrix theory vs. eigenvalue localization
• Doubly diagonally dominant matrices
• On an alternative to Gerschgorin circles and ovals of Cassini
• A new Geršgorin-type eigenvalue inclusion set
• Between Geršgorin and minimal Geršgorin sets
• Minimal Gerschgorin sets
• A Class of P-Matrices with Applications to the Localization of the Eigenvalues of a Real Matrix
• On some subclasses ofP-matrices
• Refining Gerschgorin disks through new criteria for nonsingularity

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