Criteria and Schur complements of \(H\)-matrices

DOI10.1007/s12190-009-0237-6zbMath1188.15026OpenAlexW2043503028MaRDI QIDQ2379889

Jianzhou Liu, Fuzhen Zhang

Publication date: 23 March 2010

Published in: Journal of Applied Mathematics and Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12190-009-0237-6

zbMATH Keywords

Schur complement\(M\)-matrix\(H\)-matrixcomparison matrixdiagonally dominant matrixGeršgorin theorem

Mathematics Subject Classification ID

Positive matrices and their generalizations; cones of matrices (15B48) Miscellaneous inequalities involving matrices (15A45)

Related Items

On three classes of matrices with variants of the diagonal dominance property ⋮ Discussion for \(H\)-matrices and it's application

Cites Work

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• New criteria for identifying \(H\)-matrices
• Invariance of the Brauer diagonal dominance in Gaussian elimination
• Other manifestations of the Schur complement
• Criteria for generalized diagonally dominant matrices and \(M\)-matrices
• Doubly diagonally dominant matrices
• An iterative criterion for \(H\)-matrices
• A new characterization of \(M\)-matrices and \(H\)-matrices
• The Schur complements of generalized doubly diagonally dominant matrices
• A new criterion for the H-matrix property
• A note on generalized diagonally dominant matrices
• An iterative test for \(H\)-matrix
• Criteria for generalized diagonally dominant matrices and \(M\)-matrices. II
• Algebraic multilevel preconditioning of finite element matrices using local Schur complements
• Matrix Analysis
• Schur complements of diagonally dominant matrices
• A nonparameter criterion for generalized diagonally dominant matrices
• Extremal Characterizations of the Schur Complement and Resulting Inequalities
• Disc Separation of the Schur Complement of Diagonally Dominant Matrices and Determinantal Bounds