Criteria for generalized diagonally dominant matrices and \(M\)-matrices. II

DOI10.1016/0024-3795(95)00251-0zbMath0861.15023OpenAlexW4206307023MaRDI QIDQ2564941

Yiming Gao, Xiao-Hui Wang

Publication date: 22 April 1997

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

Full work available at URL: https://doi.org/10.1016/0024-3795(95)00251-0

zbMATH Keywords

diagonally dominant matricesnonsingular \(M\)-matrices

Mathematics Subject Classification ID

Positive matrices and their generalizations; cones of matrices (15B48) Hermitian, skew-Hermitian, and related matrices (15B57) Iterative numerical methods for linear systems (65F10)

Related Items (13)

On iterative criteria for H- and non-H-matrices ⋮ An extended compact profile iterative method criterion for sparse \(H\)-matrices ⋮ Criteria and Schur complements of \(H\)-matrices ⋮ An iterative criterion for \(H\)-matrices ⋮ Notes on matrices with diagonally dominant properties ⋮ A note on identifying generalized diagonally dominant matrices ⋮ On three classes of matrices with variants of the diagonal dominance property ⋮ Characterization of H-matrices ⋮ Practical criteria for \(H\)-matrices ⋮ Iterative algorithm criterion forH-matrices ⋮ Generalized \(\alpha\)-diagonal dominance ⋮ A linearly convergent iterative method for identifying H-matrices ⋮ New criterion for generalized diagonally dominant matrices andM-matrices

Cites Work

• Criteria for generalized diagonally dominant matrices and \(M\)-matrices
• A Sufficient Condition for Nonvanishing of Determinants
• A Recurring Theorem on Determinants
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