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Algorithms and Parallel Computing
book

Algorithms and Parallel Computing

by Fayez Gebali
April 2011
Intermediate to advanced
364 pages
10h 8m
English
Wiley
Content preview from Algorithms and Parallel Computing

17.9 DESIGN 3: USING d3 = [1 −1]t

A point p = [i j]t in DAG will be mapped to a point c17ue009 in DAG given by

(17.39) c17e039

The resulting c17ue006 corresponding to the projection matrix P3 will consist of 2m − 1 nodes or tasks. Similar to design 2, each task is only active for m time steps at most. Therefore, we could map task Ti and Tj to Tk if the indices satisfy the equation

(17.40) c17e040

Through this artifact, we are able to reduce the number of nodes and ensure that each node is active all the time. Before we proceed further, we need to observe more closely the diagonal lines transferring the output of Ti−1,j−1 to Ti, j. After mapping, we see that communication is accomplished between tasks according to the relations

c17ue007

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Publisher Resources

ISBN: 9780470934630Purchase book