Το work with title Parallel algorithms and architectures for multisplittingiterative methods by Saridakis Ioannis, Papatheodorou, Théodore is licensed under Creative Commons Attribution 4.0 International
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
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.