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Implementation of QR factorization on the DAP using householder transformations

✍ Scribed by G.S.J. Bowgen; J.J. Modi

Publisher: Elsevier Science
Year: 1985
Tongue: English
Weight: 366 KB
Volume: 37
Category: Article
ISSN: 0010-4655
DOI: 10.1016/0010-4655(85)90149-3

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✦ Synopsis

The greatest emphasis has hitherto been on parallel application of Givens rotations. In this paper we show that on the Distributed Array Processor (DAP), Householder reflections turn out to be faster than Givens rotations, to perform QR factorization of an m X n matrix, especially for m >> n. Details of implementation, for arbitrary size matrices, and timing comparison with the parallel Givens method are presented.

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