Block-Cholesky for parallel processing:
Abstract: "We concentrate on the Cholesky factorization of A=L L[superscript T], where A is a positive definite symmetric matrix and L is a lower triangular matrix. A blocked algorithm based on Level 3 BLAS is discussed. When using Level 3 BLAS kernels in a multiprocessing mode, one can paralle...
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Amsterdam
1990
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| Series: | Centrum voor Wiskunde en Informatica <Amsterdam> / Afdeling Numerieke Wiskunde: Report NM
1990,23 |
| Subjects: | |
| Summary: | Abstract: "We concentrate on the Cholesky factorization of A=L L[superscript T], where A is a positive definite symmetric matrix and L is a lower triangular matrix. A blocked algorithm based on Level 3 BLAS is discussed. When using Level 3 BLAS kernels in a multiprocessing mode, one can parallelize within each kernel, or can obtain parallelism by performing different matrix-matrix operations on different processors. We apply parallelism over the blocks. We study the amount of parallelism and we discuss the data dependency graph. The SCHEDULE package is used to obtain a portable scheduling of the tasks. Numerical results of our method are presented and compared with the results for a block algorithm parallelized within the Level 3 BLAS kernels." |
| Physical Description: | 20 S. |
Staff View
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| 520 | 3 | |a Abstract: "We concentrate on the Cholesky factorization of A=L L[superscript T], where A is a positive definite symmetric matrix and L is a lower triangular matrix. A blocked algorithm based on Level 3 BLAS is discussed. When using Level 3 BLAS kernels in a multiprocessing mode, one can parallelize within each kernel, or can obtain parallelism by performing different matrix-matrix operations on different processors. We apply parallelism over the blocks. We study the amount of parallelism and we discuss the data dependency graph. The SCHEDULE package is used to obtain a portable scheduling of the tasks. Numerical results of our method are presented and compared with the results for a block algorithm parallelized within the Level 3 BLAS kernels." | |
| 650 | 4 | |a Parallel processing (Electronic computers) | |
| 650 | 4 | |a Production scheduling | |
| 810 | 2 | |a Afdeling Numerieke Wiskunde: Report NM |t Centrum voor Wiskunde en Informatica <Amsterdam> |v 1990,23 |w (DE-604)BV010177152 |9 1990,23 | |
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Record in the Search Index
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| author | Louter-Nool, Margreet |
| author_facet | Louter-Nool, Margreet |
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| author_sort | Louter-Nool, Margreet |
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| format | Book |
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| id | DE-604.BV010192576 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T17:48:10Z |
| institution | BVB |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-006772569 |
| oclc_num | 24807100 |
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| owner_facet | DE-91G DE-BY-TUM |
| physical | 20 S. |
| publishDate | 1990 |
| publishDateSearch | 1990 |
| publishDateSort | 1990 |
| record_format | marc |
| series2 | Centrum voor Wiskunde en Informatica <Amsterdam> / Afdeling Numerieke Wiskunde: Report NM |
| spelling | Louter-Nool, Margreet Verfasser aut Block-Cholesky for parallel processing M. Louter-Nool Amsterdam 1990 20 S. txt rdacontent n rdamedia nc rdacarrier Centrum voor Wiskunde en Informatica <Amsterdam> / Afdeling Numerieke Wiskunde: Report NM 1990,23 Abstract: "We concentrate on the Cholesky factorization of A=L L[superscript T], where A is a positive definite symmetric matrix and L is a lower triangular matrix. A blocked algorithm based on Level 3 BLAS is discussed. When using Level 3 BLAS kernels in a multiprocessing mode, one can parallelize within each kernel, or can obtain parallelism by performing different matrix-matrix operations on different processors. We apply parallelism over the blocks. We study the amount of parallelism and we discuss the data dependency graph. The SCHEDULE package is used to obtain a portable scheduling of the tasks. Numerical results of our method are presented and compared with the results for a block algorithm parallelized within the Level 3 BLAS kernels." Parallel processing (Electronic computers) Production scheduling Afdeling Numerieke Wiskunde: Report NM Centrum voor Wiskunde en Informatica <Amsterdam> 1990,23 (DE-604)BV010177152 1990,23 |
| spellingShingle | Louter-Nool, Margreet Block-Cholesky for parallel processing Parallel processing (Electronic computers) Production scheduling |
| title | Block-Cholesky for parallel processing |
| title_auth | Block-Cholesky for parallel processing |
| title_exact_search | Block-Cholesky for parallel processing |
| title_full | Block-Cholesky for parallel processing M. Louter-Nool |
| title_fullStr | Block-Cholesky for parallel processing M. Louter-Nool |
| title_full_unstemmed | Block-Cholesky for parallel processing M. Louter-Nool |
| title_short | Block-Cholesky for parallel processing |
| title_sort | block cholesky for parallel processing |
| topic | Parallel processing (Electronic computers) Production scheduling |
| topic_facet | Parallel processing (Electronic computers) Production scheduling |
| volume_link | (DE-604)BV010177152 |
| work_keys_str_mv | AT louternoolmargreet blockcholeskyforparallelprocessing |