The design and implementation of the ScaLAPACK LU, QR, and Cholesky factorization routines:
Abstract: "This paper presents LU, QR and Cholesky factorization routines for dense matrices, which are important components of the ScaLAPACK library. The ScaLAPACK routines are implemented assuming matrices have a block cyclic data distribution, and are built using the BLAS [12, 13, 16], the B...
Gespeichert in:
| Format: | Buch |
|---|---|
| Sprache: | English |
| Veröffentlicht: |
Oak Ridge, Tenn.
1994
|
| Schriftenreihe: | LAPACK working note
80 |
| Schlagworte: | |
| Zusammenfassung: | Abstract: "This paper presents LU, QR and Cholesky factorization routines for dense matrices, which are important components of the ScaLAPACK library. The ScaLAPACK routines are implemented assuming matrices have a block cyclic data distribution, and are built using the BLAS [12, 13, 16], the BLACS [3], and the PBLAS, which provide a simplified interface around the PB-BLAS [7]. In implementing the ScaLAPACK routines, a major objective was to parallelize the corresponding sequential LAPACK using the BLAS, BLACS, and PBLAS as building blocks, leading to straightforward parallel implementations without sacrificing performance. We present the details of the implementation of the ScaLAPACK factorization routines, and performance and scalability results on the Intel iPSC/860, the Intel Touchstone Delta, and the Intel Paragon systems." |
| Beschreibung: | V, 26 S. graph. Darst. |
Internformat
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| 245 | 1 | 0 | |a The design and implementation of the ScaLAPACK LU, QR, and Cholesky factorization routines |c [prepared by the Oak Ridge National Laboratory]. Jaeyoung Choi ... |
| 246 | 1 | 3 | |a CS 94 246 |
| 246 | 1 | 3 | |a ORNL TM 12470 |
| 264 | 1 | |a Oak Ridge, Tenn. |c 1994 | |
| 300 | |a V, 26 S. |b graph. Darst. | ||
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| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a LAPACK working note |v 80 | |
| 490 | 1 | |a University of Tennessee <Knoxville, Tenn.> / Computer Science Department: CS |v 1994,246 | |
| 520 | 3 | |a Abstract: "This paper presents LU, QR and Cholesky factorization routines for dense matrices, which are important components of the ScaLAPACK library. The ScaLAPACK routines are implemented assuming matrices have a block cyclic data distribution, and are built using the BLAS [12, 13, 16], the BLACS [3], and the PBLAS, which provide a simplified interface around the PB-BLAS [7]. In implementing the ScaLAPACK routines, a major objective was to parallelize the corresponding sequential LAPACK using the BLAS, BLACS, and PBLAS as building blocks, leading to straightforward parallel implementations without sacrificing performance. We present the details of the implementation of the ScaLAPACK factorization routines, and performance and scalability results on the Intel iPSC/860, the Intel Touchstone Delta, and the Intel Paragon systems." | |
| 650 | 4 | |a Factorization of operators | |
| 650 | 4 | |a Matrices | |
| 700 | 1 | |a Choi, Jaeyoung |e Sonstige |4 oth | |
| 710 | 2 | |a Oak Ridge National Laboratory |e Sonstige |0 (DE-588)2712-1 |4 oth | |
| 810 | 2 | |a Computer Science Department: CS |t University of Tennessee <Knoxville, Tenn.> |v 1994,246 |w (DE-604)BV008903301 |9 1994,246 | |
| 830 | 0 | |a LAPACK working note |v 80 |w (DE-604)BV010605448 |9 80 | |
| 999 | |a oai:aleph.bib-bvb.de:BVB01-007076736 | ||
Datensatz im Suchindex
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| id | DE-604.BV010608243 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T17:55:54Z |
| institution | BVB |
| institution_GND | (DE-588)2712-1 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-007076736 |
| oclc_num | 34176524 |
| open_access_boolean | |
| owner | DE-29T |
| owner_facet | DE-29T |
| physical | V, 26 S. graph. Darst. |
| publishDate | 1994 |
| publishDateSearch | 1994 |
| publishDateSort | 1994 |
| record_format | marc |
| series | LAPACK working note |
| series2 | LAPACK working note University of Tennessee <Knoxville, Tenn.> / Computer Science Department: CS |
| spelling | The design and implementation of the ScaLAPACK LU, QR, and Cholesky factorization routines [prepared by the Oak Ridge National Laboratory]. Jaeyoung Choi ... CS 94 246 ORNL TM 12470 Oak Ridge, Tenn. 1994 V, 26 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier LAPACK working note 80 University of Tennessee <Knoxville, Tenn.> / Computer Science Department: CS 1994,246 Abstract: "This paper presents LU, QR and Cholesky factorization routines for dense matrices, which are important components of the ScaLAPACK library. The ScaLAPACK routines are implemented assuming matrices have a block cyclic data distribution, and are built using the BLAS [12, 13, 16], the BLACS [3], and the PBLAS, which provide a simplified interface around the PB-BLAS [7]. In implementing the ScaLAPACK routines, a major objective was to parallelize the corresponding sequential LAPACK using the BLAS, BLACS, and PBLAS as building blocks, leading to straightforward parallel implementations without sacrificing performance. We present the details of the implementation of the ScaLAPACK factorization routines, and performance and scalability results on the Intel iPSC/860, the Intel Touchstone Delta, and the Intel Paragon systems." Factorization of operators Matrices Choi, Jaeyoung Sonstige oth Oak Ridge National Laboratory Sonstige (DE-588)2712-1 oth Computer Science Department: CS University of Tennessee <Knoxville, Tenn.> 1994,246 (DE-604)BV008903301 1994,246 LAPACK working note 80 (DE-604)BV010605448 80 |
| spellingShingle | The design and implementation of the ScaLAPACK LU, QR, and Cholesky factorization routines LAPACK working note Factorization of operators Matrices |
| title | The design and implementation of the ScaLAPACK LU, QR, and Cholesky factorization routines |
| title_alt | CS 94 246 ORNL TM 12470 |
| title_auth | The design and implementation of the ScaLAPACK LU, QR, and Cholesky factorization routines |
| title_exact_search | The design and implementation of the ScaLAPACK LU, QR, and Cholesky factorization routines |
| title_full | The design and implementation of the ScaLAPACK LU, QR, and Cholesky factorization routines [prepared by the Oak Ridge National Laboratory]. Jaeyoung Choi ... |
| title_fullStr | The design and implementation of the ScaLAPACK LU, QR, and Cholesky factorization routines [prepared by the Oak Ridge National Laboratory]. Jaeyoung Choi ... |
| title_full_unstemmed | The design and implementation of the ScaLAPACK LU, QR, and Cholesky factorization routines [prepared by the Oak Ridge National Laboratory]. Jaeyoung Choi ... |
| title_short | The design and implementation of the ScaLAPACK LU, QR, and Cholesky factorization routines |
| title_sort | the design and implementation of the scalapack lu qr and cholesky factorization routines |
| topic | Factorization of operators Matrices |
| topic_facet | Factorization of operators Matrices |
| volume_link | (DE-604)BV008903301 (DE-604)BV010605448 |
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