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The Parallel Solution of Triangular Systems of Equations

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2 Author(s)
Evans, D.J. ; Department of Computer Studies, Loughborough University of Technology ; Dunbar, R.C.

In this paper, methods are presented for the parallel solution of (n × n) lower triangular linear systems suitable for a p processor MIMD computer system where n/2 < p < (n − 1). The methods are based on the principle of allocating the processors as soon as they become available, thus creating a wavefront through the triangular array. The algorithms are shown to run in time (4n − 3p − 2) for p < 2( n − 1)/3 and in time 2(n − 1) for p ≥ 2(n − 1)/3.

Published in:

Computers, IEEE Transactions on  (Volume:C-32 ,  Issue: 2 )

Date of Publication:

Feb. 1983

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