On the convergence of asynchronous iteration methods for nonlinear paracontractions and consistent linear systems

DOI10.1016/S0024-3795(98)10060-5zbMath0936.65026OpenAlexW2019243969MaRDI QIDQ1124741

Matthias Pott

Publication date: 28 November 1999

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

Full work available at URL: https://doi.org/10.1016/s0024-3795(98)10060-5

zbMATH Keywords

convergencefixed point problemssingular \(M\)-matricesasynchronous iterationsconsistent linear systemsparacontacting operators

Mathematics Subject Classification ID

Iterative numerical methods for linear systems (65F10)

Related Items

On asynchronous iterations

Cites Work

• Convergence of parallel multisplitting iterative methods for M-matrices
• On the convergence of asynchronous paracontractions with application to tomographic reconstruction from incomplete data
• Models of parallel chaotic iteration methods
• Non-negative matrices and Markov chains. 2nd ed
• Some convergence results for asynchronous algorithms
• Convergence of sequential and asynchronous nonlinear paracontractions
• Chaotic relaxation
• Multi-Splittings of Matrices and Parallel Solution of Linear Systems
• A chaotic asynchronous algorithm for computing the fixed point of a nonnegative matrix of unit spectral radius
• Asynchronous Iterative Methods for Multiprocessors
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