On the comparison of H-matrices with M-matrices

DOI10.1016/0024-3795(86)90270-3zbMath0605.15005OpenAlexW2018478762MaRDI QIDQ1084153

Arnold Neumaier

Publication date: 1986

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

Full work available at URL: https://doi.org/10.1016/0024-3795(86)90270-3

zbMATH Keywords

error boundsinversecondition numbersH-matrixtriangular decompositionabsolute valueoverestimate

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09) Hermitian, skew-Hermitian, and related matrices (15B57) Miscellaneous inequalities involving matrices (15A45)

Related Items

A multi-parameters preconditioned AOR iterative method for linear systems ⋮ Two-sided bounds for the inverse of an \(H\)-matrix ⋮ Inverse \(H\)-matrices ⋮ Criteria for the degree of stability of the linear constant systems ⋮ Sufficient conditions of nonsingular H-matrices ⋮ \(H\)-splittings and two-stage iterative methods ⋮ Inequalities for group invertible \(H\)-matrices ⋮ Optimal Gersgorin-style estimation of extremal singular values

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