Generalizations of the Ostrowski-Brauer theorem

DOI10.1016/S0024-3795(02)00537-2zbMath1021.15014MaRDI QIDQ1870063

L. Yu. Kolotilina

Publication date: 4 May 2003

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

zbMATH Keywords

singularitycircuitsirreducibilitysparsitynonsingularityCassini ovalsGerschgorin circleslocation of matrix eigenvaluesnonstrict diagonal dominance

Mathematics Subject Classification ID

Inequalities involving eigenvalues and eigenvectors (15A42)

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Cites Work

• A note on A. Brauer's theorem
• Doubly diagonally dominant matrices
• Nonsingularity/singularity criteria for nonstrictly block diagonally dominant matrices.
• Limits for the characteristic roots of a matrix. II
• Limits for the characteristic roots of a matrix. IV. Applications to stochastic matrices
• Matrices eigenvalues, and directed graphs
• A Recurring Theorem on Determinants

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