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Geršgorin-type eigenvalue inclusion theorems and their sharpness

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Publication:5942490
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zbMath0979.15015MaRDI QIDQ5942490

Richard S. Varga

Publication date: 16 September 2001

Published in: ETNA. Electronic Transactions on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/121580


zbMATH Keywords

Brauer ovals of CassiniBrualdi lemniscate setsGershgorin disksinclusion theoremsminimal Gershgorin sets


Mathematics Subject Classification ID

Inequalities involving eigenvalues and eigenvectors (15A42)


Related Items

New Brualdi-type eigenvalue inclusion sets for tensors ⋮ Geršgorin variations. III: On a theme of Brualdi and Varga ⋮ Optimal parameters in the HSS-like methods for saddle-point problems ⋮ On the sharpness of two-sided bounds for the Perron root and of the related eigenvalue inclusion sets ⋮ An improvement of Ky Fan theorem for matrix eigenvalues ⋮ On general principles of eigenvalue localizations via diagonal dominance ⋮ Nonsingularity/singularity criteria for nonstrictly block diagonally dominant matrices.



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