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DEVELOPMENTS IN PARALLEL, DISTRIBUTED, GRID AND CLOUD COMPUTING FOR ENGINEERING
Edited by: B.H.V. Topping and P. Iványi
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
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.
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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