NDLI: Parallel Bidiagonalization of a Dense Matrix

Content Provider	Society for Industrial and Applied Mathematics (SIAM)
Author	Campos, Carlos Ralha, Rui Hernndez, Vicente Guerrero, David
Copyright Year	2007
Abstract	A new stable method for the reduction of rectangular dense matrices to bidiagonal form has been proposed recently. This is a one-sided method since it can be entirely expressed in terms of operations with (full) columns of the matrix under transformation. The algorithm is well suited to parallel computing and, in order to make it even more attractive for distributed memory systems, we introduce a modification which halves the number of communication instances. In this paper we present such a modification. A block organization of the algorithm to use level 3 BLAS routines seems difficult and, at least for the moment, it relies upon level 2 BLAS routines. Nevertheless, we found that our sequential code is competitive with the LAPACK DGEBRD routine. We also compare the time taken by our parallel codes and the ScaLAPACK PDGEBRD routine. We investigated the best data distribution schemes for the different codes and we can state that our parallel codes are also competitive with the ScaLAPACK routine.
Starting Page	826
Ending Page	837
Page Count	12
File Format	PDF
ISSN	08954798
DOI	10.1137/05062809X
e-ISSN	10957162
Journal	SIAM Journal on Matrix Analysis and Applications (SJMAEL)
Issue Number	3
Volume Number	29
Language	English
Publisher	Society for Industrial and Applied Mathematics
Publisher Date	2007-07-25
Access Restriction	Subscribed
Subject Keyword	Eigenvalues, singular values, and eigenvectors parallel algorithms bidiagonal reduction Other matrix algorithms Parallel algorithms
Content Type	Text
Resource Type	Article
Subject	Analysis

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