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

Other

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

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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. 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

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title = "Parallel gauss-seidel on a torus NOC architecture",

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.",

keywords = "2D torus, Gauss-seidel, Linear system of equations, Network-on-Chip, Parallel processing",

author = "Khaled Day and Al-Towaiq, {Mohammad H.}",

year = "2013",

doi = "10.2316/P.2013.795-025",

language = "English",

isbn = "9780889869431",

pages = "608--612",

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

note = "11th IASTED International Conference on Parallel and Distributed Computing and Networks, PDCN 2013 ; Conference date: 11-02-2013 Through 13-02-2013",

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AU - Al-Towaiq, Mohammad H.

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AB - 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.

KW - 2D torus

KW - Gauss-seidel

KW - Linear system of equations

KW - Network-on-Chip

KW - Parallel processing

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