Gerschgorin theorems for partitioned matrices

DOI10.1016/0024-3795(71)90016-4zbMath0218.15007OpenAlexW2018157370MaRDI QIDQ2546558

R. L. Johnston

Publication date: 1971

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0024-3795(71)90016-4

Mathematics Subject Classification ID

Matrices over special rings (quaternions, finite fields, etc.) (15B33)

Related Items (5)

A necessary and sufficient condition for \(M\)-matrices and its relation to block \(LU\) factorization ⋮ Best pseudo-isolated Gerschgorin disks for eigenvalues ⋮ On the computation of inclusion regions for partitioned matrices ⋮ Minimal G-functions. II ⋮ Spectrum localization in Banach spaces. I

Cites Work

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• Block diagonally dominant matrices and generalizations of the Gerschgorin circle theorem
• On smallest isolated Gerschgorin disks for eigenvalues. II
• On smallest isolated Gerschgorin disks for eigenvalues. III
• Minimal Gerschgorin sets
• Minimal Gerschgorin sets. II
• Calculation of best isolated Gerschgorin discs
• Minimal Gerschgorin Sets for Partitioned Matrices
• Regions of Exclusion for the Latent Roots of a Matrix
• On smallest isolated Gerschgorin disks for eigenvalues

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