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A general scalable implementation of fast matrix multiplication algorithms on distributed memory computers

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4 Author(s)
Nguyen, D.K. ; Lab. de Recherche en Informatique Avancee, Paris Univ., France ; Lavallee, I. ; Bui, M. ; Quoc Trung Ha

Fast matrix multiplication (FMM) algorithms to multiply two n × n matrices reduce the asymptotic operation count from O(n3) of the traditional algorithm to O(n2.38), thus on distributed memory computers, the association of FMM algorithms and the parallel matrix multiplication algorithms always gives remarkable results. Within this association, the application of FMM algorithms at inter-processor level requires us to solve more difficult problems in designing but it forms the most effective algorithms. In this paper, a general model of these algorithms is presented and we also introduce a scalable method to implement this model on distributed memory computers.

Published in:

Software Engineering, Artificial Intelligence, Networking and Parallel/Distributed Computing, 2005 and First ACIS International Workshop on Self-Assembling Wireless Networks. SNPD/SAWN 2005. Sixth International Conference on

Date of Conference:

23-25 May 2005

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