Nonsingularity/singularity criteria for nonstrictly block diagonally dominant matrices.

DOI10.1016/S0024-3795(02)00422-6zbMath1055.15031MaRDI QIDQ1864967

L. Yu. Kolotilina

Publication date: 23 March 2003

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

zbMATH Keywords

eigenvaluespectral radiusNonsingularityGerschgorin circlesWielandt's lemmaOvals of CassiniIrreducibilityNonstrict (block) diagonal dominance

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09) Inequalities involving eigenvalues and eigenvectors (15A42) Eigenvalues, singular values, and eigenvectors (15A18) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Iterative numerical methods for linear systems (65F10)

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