Abstract
We propose a parallel Gauss-Seidel (GS) iterative algorithm for solving large systems of linear equations on a 2D torus network-con-chip (NoC) architecture. The proposed parallel algorithm is of O(Nn2/k2) time complexity for solving a system with matrix of order n on a k×k torus NoC architecture requiring N iterations assuming n and N are large compared to k (i.e. for large linear systems that require a large number of iterations). We show that under these conditions the proposed parallel GS algorithm has near optimal speedup and efficiency.
Original language | English |
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Title of host publication | IASTED Multiconferences - Proceedings of the IASTED International Conference on Parallel and Distributed Computing and Networks, PDCN 2013 |
Pages | 608-612 |
Number of pages | 5 |
DOIs | |
Publication status | Published - 2013 |
Event | 11th IASTED International Conference on Parallel and Distributed Computing and Networks, PDCN 2013 - Innsbruck, Austria Duration: Feb 11 2013 → Feb 13 2013 |
Other
Other | 11th IASTED International Conference on Parallel and Distributed Computing and Networks, PDCN 2013 |
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Country | Austria |
City | Innsbruck |
Period | 2/11/13 → 2/13/13 |
Keywords
- 2D torus
- Gauss-seidel
- Linear system of equations
- Network-on-Chip
- Parallel processing
ASJC Scopus subject areas
- Computer Networks and Communications
- Software