Parallel gauss-seidel on a torus network-on-chip architecture

Mohammad H. Al-Towaiq*, Khaled Day

*Corresponding author for this work

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

Network-on-chip multicore 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 network-on-chip (NoC) topologies such as meshes and trees. In this paper we propose a parallel Gauss-Seidel (GS) iterative algorithm for solving large systems of linear equations on a torus NoC architecture. The proposed parallel algorithm is O(Nn2/k2) time complexity for solving a system with matrix of order n on a k × k torus NoC architecture with 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.

Original languageEnglish
Article number1250001
JournalJournal of Interconnection Networks
Volume13
Issue number1-2
DOIs
Publication statusPublished - Mar 2012

Keywords

  • Gauss-Seidel
  • iterative method
  • linear system of equations
  • Network-on-chip
  • torus, parallel algorithm

ASJC Scopus subject areas

  • Computer Networks and Communications

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