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1997 International Symposium on Parallel Architectures, Algorithms and Networks (ISPAN '97)
New Partitioning Schemes for Parallel Modified Gram-Schmidt Orthogonalization
Taipei, Taiwan
December 18-December 20
ISBN: 0-8186-8259-0
Suely Oliveira, Texas A&M University
Takako Soma, Texas A&M University
In this paper we are concerned with parallel implementation of row-oriented Gram-Schmidt orthogonalization. For the data partitioning four types of columnwise partitioning schemes were considered: column (1-col), block, cyclic and block-cyclic (b-c) partitioning. Analytical models for parallel execution time required by these implementations are derived and compared with numerical results. The best partitioning scheme is shown theoretically and by numerical results.
Index Terms:
Gram-Schmidt Algorithms, orthogonalization, MPI, data partitioning, matrix computations.
Citation:
Suely Oliveira, Takako Soma, "New Partitioning Schemes for Parallel Modified Gram-Schmidt Orthogonalization," ispan, pp.233, 1997 International Symposium on Parallel Architectures, Algorithms and Networks (ISPAN '97), 1997
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