TY - GEN

T1 - Parallel gauss-seidel on a torus NOC architecture

AU - Day, Khaled

AU - Al-Towaiq, Mohammad H.

PY - 2013

Y1 - 2013

N2 - 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.

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

UR - http://www.scopus.com/inward/record.url?scp=84875488254&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84875488254&partnerID=8YFLogxK

U2 - 10.2316/P.2013.795-025

DO - 10.2316/P.2013.795-025

M3 - Conference contribution

AN - SCOPUS:84875488254

SN - 9780889869431

T3 - IASTED Multiconferences - Proceedings of the IASTED International Conference on Parallel and Distributed Computing and Networks, PDCN 2013

SP - 608

EP - 612

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

T2 - 11th IASTED International Conference on Parallel and Distributed Computing and Networks, PDCN 2013

Y2 - 11 February 2013 through 13 February 2013

ER -