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Computational Science, Engineering & Technology Series
ISSN 1759-3158
ISSN 1759-3158
CSETS: 31
DEVELOPMENTS IN PARALLEL, DISTRIBUTED, GRID AND CLOUD COMPUTING FOR ENGINEERING
DEVELOPMENTS IN PARALLEL, DISTRIBUTED, GRID AND CLOUD COMPUTING FOR ENGINEERING
Edited by: B.H.V. Topping and P. Iványi
Chapter 12
Stopping Criteria for Parallel Asynchronous Iterations for Fixed Point Methods
J.C. Miellou1 and P. Spiteri2
1University of Franche - Comté, Laboratoire de Mathématiques, Besançon, France
2Institut National Polytechnique, Institut de Recherche en Informatique, Toulouse, France
Full Bibliographic Reference for this chapter
J.C. Miellou, P. Spiteri, "Stopping Criteria for Parallel Asynchronous Iterations for Fixed Point Methods", in B.H.V. Topping and P. Iványi, (Editor), "Developments in Parallel, Distributed, Grid and Cloud Computing for Engineering", Saxe-Coburg Publications, Stirlingshire, UK, Chapter 12, pp 277-308, 2013. doi:10.4203/csets.31.12
Keywords: stopping criteria, parallel algorithms, asynchronous iterations, fixed point method, successive approximation.
Abstract
The goal of the present study is to provide an effective family of stopping criteria in the context of general parallel asynchronous fixed point methods defined in Rn. Then several distinct stopping criteria for parallel asynchronous iterative algorithms are presented and analysed.
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