On asynchronous iterations in partially ordered spaces

DOI10.1080/01630569108816431zbMath0724.65063OpenAlexW2145184061MaRDI QIDQ3212206

Andreas Frommer

Publication date: 1991

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/01630569108816431

zbMATH Keywords

convergencefixed pointsproduct spacespartially ordered spacestotal step methodasynchronous iterationsisotonically decomposable mappings

Mathematics Subject Classification ID

Iterative procedures involving nonlinear operators (47J25) Numerical solutions to equations with nonlinear operators (65J15) Monotone and positive operators on ordered Banach spaces or other ordered topological vector spaces (47H07)

Related Items (7)

Asynchronous parallel methods for enclosing solutions of nonlinear equations ⋮ Nonstationary parallel relaxed multisplitting methods ⋮ Orders of convergence for superlinearly convergent chaotic iterations ⋮ Convergence of non-stationary parallel multisplitting methods for hermitian positive definite matrices ⋮ A new class of asynchronous iterative algorithms with order intervals ⋮ On asynchronous iterations ⋮ Synchronous and asynchronous optimized Schwarz methods for Poisson's equation in rectangular domains

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