Pipeline Givens sequences for computing the QR decomposition on a EREW PRAM
Hofmann, M. and Kontoghiorghes, Erricos J. (2006) Pipeline Givens sequences for computing the QR decomposition on a EREW PRAM. Parallel Computing 32 (3), pp. 222-230. ISSN 0167-8191.
Parallel Givens sequences for computing the QR decomposition of an m × n (m > n) matrix are considered. The Givens rotations operate on adjacent planes. A pipeline strategy for updating the pair of elements in the affected rows of the matrix is employed. This allows a Givens rotation to use rows that have been partially updated by previous rotations. Two new Givens schemes, based on this pipeline approach, and requiring respectively n2/2 and n processors, are developed. Within this context a performance analysis on an exclusive-read, exclusive-write (EREW) parallel random access machine (PRAM) computational model establishes that the proposed schemes are twice as efficient as existing Givens sequences.
|Keyword(s) / Subject(s):||Givens rotation, QR decomposition, parallel algorithms, PRAM|
|School:||Birkbeck Schools and Departments > School of Business, Economics & Informatics > Computer Science and Information Systems|
|Date Deposited:||18 Aug 2011 09:23|
|Last Modified:||17 Apr 2013 12:21|
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