Simple criteria for nonsingular H-matrices.

DOI10.1016/S0024-3795(03)00646-3zbMath1033.15019MaRDI QIDQ1414167

Tai-Bin Gan, Ting-Zhu Huang

Publication date: 19 November 2003

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

zbMATH Keywords

numerical examplesH-matrixDiagonal dominanceIrreducibilityNonzero elements chain

Mathematics Subject Classification ID

Hermitian, skew-Hermitian, and related matrices (15B57) Direct numerical methods for linear systems and matrix inversion (65F05) Linear equations (linear algebraic aspects) (15A06)

Related Items (15)

Self-corrective iterations (SCI) for generalized diagonally dominant matrices ⋮ On iterative criteria for H- and non-H-matrices ⋮ An extended compact profile iterative method criterion for sparse \(H\)-matrices ⋮ Characterization of \(\alpha 1\) and \(\alpha 2\)-matrices ⋮ \(H\)-matrix theory vs. eigenvalue localization ⋮ Simple criteria for generalized diagonally dominant matrices ⋮ Notes on matrices with diagonally dominant properties ⋮ Some criteria for identifying strong \(\mathcal{H}\)-tensors ⋮ CONSTRUCTION OF FULL H-MATRICES WITH THE GIVEN EIGENVALUES BASED ON THE GIVENS MATRICES ⋮ Classes of general \(H\)-matrices ⋮ Extended irreducible Nekrasov matrices as subclasses of irreducible \(H\)-matrices ⋮ New criteria for identifying \(H\)-matrices ⋮ On three classes of matrices with variants of the diagonal dominance property ⋮ Practical criteria for \(H\)-matrices ⋮ A linearly convergent iterative method for identifying H-matrices

Cites Work

• On recurring theorems on diagonal dominance
• On Nekrasov matrices
• A note on generalized diagonally dominant matrices
• A Sufficient Condition for Nonvanishing of Determinants
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