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Parallel algorithms and architectures for multisplittingiterative methods

Saridakis Ioannis, Papatheodorou, Théodore

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URI: http://purl.tuc.gr/dl/dias/4E203419-8F1E-4BEF-BF4D-E63AEAEB783D
Year 1989
Type of Item Peer-Reviewed Journal Publication
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Bibliographic Citation T. S. Papatheodorou, Y. G. Saridakis, “Parallel algorithms and architectures for multisplitting iterative methods," Parallel Comp.,vol. 12,no. 2, pp. 171-182, 1989.doi:10.1016/0167-8191(89)90051-3 https://doi.org/10.1016/0167-8191(89)90051-3
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Summary

The Multi-Splitting (MS) iterative method, designed exclusively for multiprocessor environments, is considered for the solution of large systems of linear equations. A general parallel algorithm is devised and implemented on a modular two-level parallel architecture, which utilizes the systolic arrays as building blocks, to demonstrate the point iteration. A particular three-term member of the MS family is applied, for the parallel block iterative solution, on the Poisson's equation discretized by the collocation method.

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