Asynchronous multisplitting methods for nonlinear fixed point problems
type: Item
instance of: scholarly article
title: Asynchronous multisplitting methods for nonlinear fixed point problems
zbMATH Open document ID: 0893.65034
DOI: 10.1023/A:1019158207224
published in: Numerical Algorithms
publication date: 1998-07-23T00:00:00Z
review text: The paper discusses some asynchronous multisplitting methods for nonlinear problems, based on the pioneering work of \textit{D. P. O'Leary} and \textit{R. E. White} [SIAM J. Algebraic Discrete Methods 6, 630-640 (1985; Zbl 0582.65018)]. The authors give an unitary algorithmic formulation and the corresponding mathematical analysis for such discrete overlapping subdomain technique. Two-stage multisplitting algorithms, using a strongly regular splitting of an operator, for pseudo-linear problems are presented. Many concrete algorithms for linear problems are also discussed.
Mathematics Subject Classification ID: 65H10
Mathematics Subject Classification ID: 65J15
Mathematics Subject Classification ID: 65Y05
Mathematics Subject Classification ID: 65F10
zbMATH DE Number: 1129532
zbMATH Keywords: asynchronous algorithms
zbMATH Keywords: multisplitting technique
zbMATH Keywords: nonlinear and linear problems
zbMATH Keywords: fixed point problems
zbMATH Keywords: pseudo-linear problems
author: Jacques M. Bahi
author: J. C. Miellou
author: K. Rhofir
reviewed by: Iulian Coroian
MaRDI profile type: Publication
full work available at URL: a:1019158207224
OpenAlex ID: W1634025860
description: scientific article; zbMATH DE number 1129532