Title
COMMUNICATION RESULTS FOR PARALLEL SPARSE CHOLESKY FACTORIZATION ON A HYPERCUBE
Abstract
We consider the problem of reducing data traffic among processor nodes during the parallel factorization of a sparse matrix on a hypercube multiprocessor. A task assignment strategy based on the structure of an elimination tree is presented. This assignment is aimed at achieving load balancing among the processors and also reducing the amount of processor-to-processor data communication. An analysis of regular grid problems is presented, providing a bound on communication volume generated by the new strategy, and showing that the allocation scheme is optimal in the asymptotic sense. Some experimental results on the performance of this scheme are presented.
Year
DOI
Venue
1989
10.1016/0167-8191(89)90101-4
PARALLEL COMPUTING
Keywords
Field
DocType
load balance,data flow,parallel processing,cholesky factorization,sparse matrix
Linear algebra,Algorithmics,Load balancing (computing),Computer science,Parallel computing,Algorithm,Theoretical computer science,Multiprocessing,Factorization,Hypercube,Sparse matrix,Cholesky decomposition
Journal
Volume
Issue
ISSN
10
3
0167-8191
Citations 
PageRank 
References 
18
3.06
0
Authors
4
Name
Order
Citations
PageRank
Alan George110924.60
Joseph W.H Liu25411.45
E. G. Y Ng3183.06
Esmond Ng4183.06