New subclasses of block \(H\)-matrices with applications to parallel decomposition-type relaxation methods

DOI10.1007/s11075-006-9031-9zbMath1111.65028OpenAlexW2164342940MaRDI QIDQ857651

Ljiljana Cvetković, Vladimir R. Kostić

Publication date: 19 December 2006

Published in: Numerical Algorithms (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11075-006-9031-9

zbMATH Keywords

relaxation parametersrelaxation methodsblock strictly diagonally dominant matrixparallel decomposition

Mathematics Subject Classification ID

Iterative numerical methods for linear systems (65F10) Parallel numerical computation (65Y05)

Related Items (9)

Complexity and asymptotic stability in the process of biochemical substance exchange in a coupled ring of cells ⋮ Modulus-based synchronous two-stage multisplitting iteration methods for linear complementarity problems ⋮ Block matrices and symmetric perturbations ⋮ On SSOR‐like preconditioners for non‐Hermitian positive definite matrices ⋮ Pseudospectra localizations and their applications ⋮ On general principles of eigenvalue localizations via diagonal dominance ⋮ Motivations and realizations of Krylov subspace methods for large sparse linear systems ⋮ A note on the convergence of the AOR method ⋮ Fractional pseudospectra and their localizations

Cites Work

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• Block diagonally dominant matrices and generalizations of the Gerschgorin circle theorem
• Some convergence conditions for a class of parallel decomposition-type linear relaxation methods
• On the convergence of a class of parallel decomposition-type relaxation methods
• Some convergence results of PD relaxation methods
• A class of parallel decomposition-type relaxation methods for large sparse systems of linear equations
• Weak block diagonally dominant matrices, weak block \(H\)-matrix and their applications
• Accelerated Overrelaxation Method

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