Parallel gauss-seidel on a torus NOC architecture

Khaled Day; Mohammad H. Al-Towaiq

doi:10.2316/P.2013.795-025

Parallel gauss-seidel on a torus NOC architecture

Khaled Day^*, Mohammad H. Al-Towaiq

^*Corresponding author for this work

Computer Science

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

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
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	https://doi.org/10.2316/P.2013.795-025
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

Publication series

Name	IASTED Multiconferences - Proceedings of the IASTED International Conference on Parallel and Distributed Computing and Networks, PDCN 2013

Other

Other	11th IASTED International Conference on Parallel and Distributed Computing and Networks, PDCN 2013
Country/Territory	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

Access to Document

10.2316/P.2013.795-025

Cite this

Day, K., & Al-Towaiq, M. H. (2013). Parallel gauss-seidel on a torus NOC architecture. In IASTED Multiconferences - Proceedings of the IASTED International Conference on Parallel and Distributed Computing and Networks, PDCN 2013 (pp. 608-612). (IASTED Multiconferences - Proceedings of the IASTED International Conference on Parallel and Distributed Computing and Networks, PDCN 2013). https://doi.org/10.2316/P.2013.795-025

Parallel gauss-seidel on a torus NOC architecture. / Day, Khaled; Al-Towaiq, Mohammad H.

IASTED Multiconferences - Proceedings of the IASTED International Conference on Parallel and Distributed Computing and Networks, PDCN 2013. 2013. p. 608-612 (IASTED Multiconferences - Proceedings of the IASTED International Conference on Parallel and Distributed Computing and Networks, PDCN 2013).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Day, K & Al-Towaiq, MH 2013, Parallel gauss-seidel on a torus NOC architecture. in IASTED Multiconferences - Proceedings of the IASTED International Conference on Parallel and Distributed Computing and Networks, PDCN 2013. IASTED Multiconferences - Proceedings of the IASTED International Conference on Parallel and Distributed Computing and Networks, PDCN 2013, pp. 608-612, 11th IASTED International Conference on Parallel and Distributed Computing and Networks, PDCN 2013, Innsbruck, Austria, 2/11/13. https://doi.org/10.2316/P.2013.795-025

Day K, Al-Towaiq MH. Parallel gauss-seidel on a torus NOC architecture. In IASTED Multiconferences - Proceedings of the IASTED International Conference on Parallel and Distributed Computing and Networks, PDCN 2013. 2013. p. 608-612. (IASTED Multiconferences - Proceedings of the IASTED International Conference on Parallel and Distributed Computing and Networks, PDCN 2013). doi: 10.2316/P.2013.795-025

Day, Khaled ; Al-Towaiq, Mohammad H. / Parallel gauss-seidel on a torus NOC architecture. IASTED Multiconferences - Proceedings of the IASTED International Conference on Parallel and Distributed Computing and Networks, PDCN 2013. 2013. pp. 608-612 (IASTED Multiconferences - Proceedings of the IASTED International Conference on Parallel and Distributed Computing and Networks, PDCN 2013).

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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.",

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KW - Parallel processing

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Parallel gauss-seidel on a torus NOC architecture

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