An Efficient Parallel Gauss-Seidel Algorithm on a 3D Torus Network-on-Chip
| Autor: | Khaled Day, Mohammad H. Al-Towaiq |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2015 |
| Předmět: | |
| Zdroj: | Sultan Qaboos University Journal for Science, Vol 20, Iss 1, Pp 29-38 (2015) |
| Druh dokumentu: | article |
| ISSN: | 1027-524X 2414-536X |
| DOI: | 10.24200/squjs.vol20iss1pp29-38 |
| Popis: | Network-on-chip (NoC) multi-core architectures with a large number of processing elements are becoming a reality with the recent developments in technology. In these modern systems the processing elements are interconnected with regular NoC topologies such as meshes and tori. In this paper we propose a parallel Gauss-Seidel (GS) iterative algorithm for solving large systems of linear equations on a 3-dimensional torus NoC architecture. The proposed parallel algorithm is O(Nn2/k3) time complexity for solving a system with a matrix of order n on a k×k×k 3D torus NoC architecture with N iterations assuming n and N are large compared to k. We show that under these conditions the proposed parallel GS algorithm has near optimal speedup. |
| Databáze: | Directory of Open Access Journals |
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