๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Block Householder transformation for parallel QR factorization

โœ Scribed by F. Rotella; I. Zambettakis


Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
257 KB
Volume
12
Category
Article
ISSN
0893-9659

No coin nor oath required. For personal study only.

โœฆ Synopsis


A new form of the QR factorization procedure is presented which is based on a generalization of the Householder transformation. This extension is a block matrical form of the usual Householder procedure which leads to a dichotomic algorithm which allows parallel implementation.


๐Ÿ“œ SIMILAR VOLUMES


Implementation of QR factorization on th
โœ G.S.J. Bowgen; J.J. Modi ๐Ÿ“‚ Article ๐Ÿ“… 1985 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 366 KB

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. Detail

A coarse-grained parallel QR-factorizati
โœ Tz. Ostromsky; P.C. Hansen; Z. Zlatev ๐Ÿ“‚ Article ๐Ÿ“… 1998 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 599 KB

A sparse QR-factorization algorithm SPARQR for coarse-grained parallel computations is described. The coefficient matrix, which is assumed to be general sparse, is reordered in an attempt to bring as many zero elements in the lower left corner as possible. The reordered matrix is then partitioned in

Symplectic Householder transformations f
โœ A. Salam; A. El Farouk; E. Al-Aidarous ๐Ÿ“‚ Article ๐Ÿ“… 2008 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 273 KB

The aim of this paper is to show how geometric and algebraic approaches lead us to a new symplectic elementary transformations: the 2-D symplectic Householder transformations. Their features are studied in details. Their interesting properties allow us to construct a new algorithm for computing a SR