Notes on matrices with diagonally dominant properties

DOI10.1016/j.laa.2011.04.045zbMath1225.15007OpenAlexW1976521968MaRDI QIDQ636240

F. O. Farid

Publication date: 26 August 2011

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

Full work available at URL: https://doi.org/10.1016/j.laa.2011.04.045

zbMATH Keywords

directed graphcyclically diagonally dominant matrixgeneralized doubly diagonally dominant matrixstrictly generalized diagonally dominant matrix

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Eigenvalues, singular values, and eigenvectors (15A18) Directed graphs (digraphs), tournaments (05C20)

Related Items (2)

On three classes of matrices with variants of the diagonal dominance property ⋮ On diagonal dominance of FEM stiffness matrix of fractional Laplacian and maximum principle preserving schemes for the fractional Allen-Cahn equation

Cites Work

• New criteria for identifying \(H\)-matrices
• Criteria for generalized diagonally dominant matrices and \(M\)-matrices
• A note on A. Brauer's theorem
• Criteria for invertibility of diagonally dominant matrices
• Doubly diagonally dominant matrices
• Topics on a generalization of Gershgorin's theorem
• Simple criteria for nonsingular H-matrices.
• The Schur complements of generalized doubly diagonally dominant matrices
• Criteria for generalized diagonally dominant matrices and \(M\)-matrices. II
• Limits for the characteristic roots of a matrix. II
• Regions containing eigenvalues of a matrix
• Matrix Analysis
• Matrices eigenvalues, and directed graphs
• A Sufficient Condition for Nonvanishing of Determinants
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