Utilize este identificador para referenciar este registo:
https://hdl.handle.net/1822/8804
Título: | Parallel bidiagonalization of a dense matrix |
Autor(es): | Campos, Carlos Guerrero, David Hernandez, Vicente Ralha, Rui |
Palavras-chave: | Bidiagonal reduction Parallel algorithms |
Data: | Jul-2007 |
Editora: | Society for Industrial and Applied Mathematics (SIAM) |
Revista: | SIAM Journal on Matrix Analysis and Applications |
Citação: | "SIAM Journal on Matrix Analysis and Applications." ISSN 0895-4798. 29:3 (Jul. 2007) 826-837. |
Resumo(s): | 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. |
Tipo: | Artigo |
URI: | https://hdl.handle.net/1822/8804 |
DOI: | 10.1137/05062809X |
ISSN: | 0895-4798 |
Versão da editora: | http://www.siam.org/journals/simax/29-3/62809.html |
Arbitragem científica: | yes |
Acesso: | Acesso aberto |
Aparece nas coleções: | CMAT - Artigos em revistas com arbitragem / Papers in peer review journals |
Ficheiros deste registo:
Ficheiro | Descrição | Tamanho | Formato | |
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parallel_bid.pdf | 273,42 kB | Adobe PDF | Ver/Abrir |