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Optimal matrix algorithms on homogeneous hypercubes

Fox, Geoffrey C. and Furmanski, Wojtek and Walker, David W. (1988) Optimal matrix algorithms on homogeneous hypercubes. In: C3P Proceedings of the third conference on Hypercube concurrent computers and applications. Vol.2. ACM , New York, NY, pp. 1656-1673. ISBN 0-89791-278-0. http://resolver.caltech.edu/CaltechAUTHORS:20161024-165545288

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Abstract

This paper describes a set of concurrent algorithms for matrix algebra, based on a library of collective communication routines for the hypercube. We show how a systematic application of scattering reduces load imbalance. A number of examples are considered (Gaussian elimination, Gauss-Jordan matrix inversion, the power method for eigenvectors, and tridiagonalisation by Householder's method), and the concurrent efficiencies are discussed.


Item Type:Book Section
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http://dx.doi.org/10.1145/63047.63125DOIPaper
http://dl.acm.org/citation.cfm?doid=63047.63125PublisherPaper
Additional Information:© 1988 ACM. The support of the Department of Energy, under grant number DE-FG03-85ER25009, is gratefully acknowledged. The initial study of the Householder algorithm was due to T. Delbruck, and we would like to thank Paul Hipes for emphasising the relevance of the Gauss-Jordan algorithm.
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Funding AgencyGrant Number
Department of Energy (DOE)DE-FG03-85ER25009
Record Number:CaltechAUTHORS:20161024-165545288
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:20161024-165545288
Official Citation:G. C. Fox, W. Furmanski, and D. W. Walker. 1989. Optimal matrix algorithms on homogeneous hypercubes. In Proceedings of the third conference on Hypercube concurrent computers and applications - Volume 2 (C3P), Geoffrey Fox (Ed.), Vol. 2. ACM, New York, NY, USA, 1656-1673. DOI=http://dx.doi.org/10.1145/63047.63125
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:71422
Collection:CaltechAUTHORS
Deposited By: Kristin Buxton
Deposited On:25 Oct 2016 16:59
Last Modified:25 Oct 2016 16:59

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