Overlapping additive and multiplicative Schwarz iterations for \(H\)-matrices

DOI10.1016/j.laa.2003.10.022zbMath1066.65036OpenAlexW2027158013WikidataQ115156461 ScholiaQ115156461MaRDI QIDQ703623

Rafael Bru, Francisco Pedroche, Daniel B. Szyld

Publication date: 11 January 2005

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

Full work available at URL: https://doi.org/10.1016/j.laa.2003.10.022

zbMATH Keywords

OverlapM-matricesH-matricesdiagonally dominantBlock methodsadditive and multiplicative Schwarz methodsscaling transformationsSchwarz iterative methods

Mathematics Subject Classification ID

Iterative numerical methods for linear systems (65F10) Numerical computation of matrix norms, conditioning, scaling (65F35)

Related Items (7)

Overlapping restricted additive Schwarz method applied to the linear complementarity problem with an \(H\)-matrix ⋮ Analysis of the multiplicative Schwarz method for matrices with a special block structure ⋮ Overlapping restricted additive Schwarz method with damping factor for \(H\)-matrix linear complementarity problem ⋮ Some properties of generalized \(K\)-centrosymmetric \(H\)-matrices ⋮ A multiplicative multisplitting method for solving the linear complementarity problem ⋮ Schwarz methods for quasi stationary distributions of Markov chains ⋮ A multiplicative Schwarz iteration scheme for solving the linear complementarity problem with an \(H\)-matrix

Cites Work

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• \(H\)-splittings and two-stage iterative methods
• On recurring theorems on diagonal dominance
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• Geometry Related Convergence Results for Domain Decomposition Algorithms
• An Iterative Solution Method for Linear Systems of Which the Coefficient Matrix is a Symmetric M-Matrix
• Uniform Convergence of the Schwarz Alternating Method for Solving Singularly Perturbed Advection-Diffusion Equations
• Biomedical Image Registration
• Algebraic theory of multiplicative Schwarz methods

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