Criteria for invertibility of diagonally dominant matrices

DOI10.1016/0024-3795(93)00072-8zbMath0818.15004OpenAlexW2055146237MaRDI QIDQ1347218

F. O. Farid

Publication date: 4 April 1995

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

Full work available at URL: https://doi.org/10.1016/0024-3795(93)00072-8

zbMATH Keywords

invertibilityinfinite matrixmatrix operatordiagonally dominant matricesoperators on sequence spaces

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Hermitian, skew-Hermitian, and related matrices (15B57) Linear operators on special spaces (weighted shifts, operators on sequence spaces, etc.) (47B37)

Related Items (8)

Invertibility of irreducible matrices ⋮ Orthogonal trades in complete sets of MOLS ⋮ Notes on matrices with diagonally dominant properties ⋮ On the eigenvalues of quaternion matrices ⋮ On invertibility and positive invertibility of matrices ⋮ \(\ell_p\)-diagonally dominant symmetric operators ⋮ On three classes of matrices with variants of the diagonal dominance property ⋮ Characterization of diagonally dominant H-matrices

Cites Work

• Matrix Analysis
• Spectral Properties of Perturbed Linear Operators and their Application to Infinite Matrices
• Eigenvalues of infinite matrices
• A Recurring Theorem on Determinants
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