Asynchronous iterations with flexible communication: contracting operators

DOI10.1016/j.cam.2004.07.009zbMath1069.65054OpenAlexW2154007179MaRDI QIDQ1765362

Didier El Baz, Pierre Spiteri, Andreas Frommer

Publication date: 23 February 2005

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

Full work available at URL: https://doi.org/10.1016/j.cam.2004.07.009

zbMATH Keywords

global convergencelinear systemsparallel computing\(M\)-matricespartial orderingfixed point methodsasynchronous iterationsflexible communication

Mathematics Subject Classification ID

Numerical computation of solutions to systems of equations (65H10) Iterative numerical methods for linear systems (65F10) Parallel numerical computation (65Y05)

Related Items (3)

Asynchronous iterations of parareal algorithm for option pricing models ⋮ Parallel asynchronous iterations for the solution of a 3D continuous flow electrophoresis problem ⋮ Parallel Schwarz alternating methods for anisotropic diffusion of speckled medical images

Cites Work

• Different models of parallel asynchronous iterations with overlapping blocks
• Asynchronous two-stage iterative methods
• Parallel asynchronous Schwarz and multisplitting methods for a nonlinear diffusion problem
• On asynchronous iterations
• A probabilistic analysis of asynchronous iteration
• Parallel, synchronous and asynchronous two-stage multisplitting methods
• Chaotic relaxation
• Asynchronous Iterative Methods for Multiprocessors
• A new class of asynchronous iterative algorithms with order intervals
• Matrix Multisplitting Methods with Applications to Linear Complementarity Problems∶ Parallel Asynchronous Methods
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