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Please use this identifier to cite or link to this item: http://hdl.handle.net/1813/6627
Title: A Parallel Triangular Solver for a Hypercube Multiprocessor
Authors: Li, Guangye
Coleman, Thomas F.
Keywords: computer science
technical report
Issue Date: Oct-1986
Publisher: Cornell University
Citation: http://techreports.library.cornell.edu:8081/Dienst/UI/1.0/Display/cul.cs/TR86-787
Abstract: We consider solving triangular systems of linear equations on a hypercube multiprocessor. Specifically, we propose a fast parallel algorithm, applicable when the triangular matrix is distributed around the cube by column in a wrap fashion. Numerical experiments indicate that the new algorithm is very efficient. A theoretical analysis confirms that the total running time varies linearly, with respect to the matrix order, up to a threshold value of the matrix order, after which the dependence is quadratic. Moreover, we show that total message traffic is essentially the minimum possible. Finally, we describe an analogous row-oriented algorithm.
URI: http://hdl.handle.net/1813/6627
Appears in Collections:Computer Science Technical Reports

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