Weak block diagonally dominant matrices, weak block \(H\)-matrix and their applications

DOI10.1016/S0024-3795(98)10070-8zbMath0937.65041MaRDI QIDQ1809102

Shuhuang Xiang, Zhao-Yong You

Publication date: 14 June 2000

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

zbMATH Keywords

block triangular factorizationsweak block \(H\)-matrixweak block diagonally dominant matrix

Mathematics Subject Classification ID

Iterative numerical methods for linear systems (65F10)

Related Items (5)

On Schur complement of block diagonally dominant matrices ⋮ A convergence analysis of block accelerated over-relaxation iterative methods for weak block \(H\)-matrices to partition \(\pi \) ⋮ New subclasses of block \(H\)-matrices with applications to parallel decomposition-type relaxation methods ⋮ Convergence of parallel block SSOR multisplitting method for block H-matrix ⋮ Theorems on Schur complement of block diagonally dominant matrices and their application in reducing the order for the solution of large scale linear systems

Cites Work

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• Topological proofs for certain theorems on matrices with non-negative elements
• A general incomplete block-matrix factorization method
• Block diagonally dominant matrices and generalizations of the Gerschgorin circle theorem
• Incomplete blockwise factorizations of (block) H-matrices
• Inverse \(M\)-matrix inequalities and generalized ultrametric matrices
• Generalized ultrametric matrices -- a class of inverse \(M\)-matrices
• Blocs-H-matrices et convergence des méthodes itératives classiques par blocs
• An Incomplete Factorization Technique for Positive Definite Linear Systems

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