ANALYSIS OF DIFFERENT PARTITIONING SCHEMES FOR PARALLEL GRAM-SCHMIDT ALGORITHMS
作者:
S. OLIVEIRA,
L. BORGES,
M. HOLZRICHTER,
T. SOMA,
期刊:
Parallel Algorithms and Applications
(Taylor Available online 2000)
卷期:
Volume 14,
issue 4
页码: 293-320
ISSN:1063-7192
年代: 2000
DOI:10.1080/10637199808947392
出版商: Taylor & Francis Group
关键词: Gram-Schmidt orthogonalization;Parallel algorithms;Gram-Schmidt orthogonalization;Parallel algorithms
数据来源: Taylor
摘要:
In this paper we analyze implementations of parallel Gram-Schmidt orthogonalization algorithms. One of the first parallel orthogonalization of Gram-Schmidt was the row-wise partitioning of O'Leary and Whitman. In this paper we describe a pipelined implementation which uses column-wise partitioning schemes. Timing models for the column-wise parallel algorithms are derived. We compare our column-wise partitionings against the row-wise partitioning and validate our study with computational results. The pipelined orthogonalization algorithm is important because the timing analysis is independent of the architecture model. Threshold values ofmmax, which is the number of rows where row partitioning becomes better than column partitioning are found theoretically and verified with our experiments
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