A parallel algorithm for large sparse symbolic and numeric Cholesky facto rization on a multiprocessor:
We develop an algorithm for computing the symbolic and numeric Cholesky factorization of a large sparse symmetric positive definite matrix. The algorithm is intended for a message-passing multiprocessor system, such as the hypercube, and is based on the concept of elimination forests. In addition, w...
Gespeichert in:
Hauptverfasser: | , |
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Format: | Buch |
Sprache: | English |
Veröffentlicht: |
Ithaca, New York
1986
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Schriftenreihe: | Cornell University <Ithaca, NY> / Department of Computer Science: Technical report
733 |
Schlagworte: | |
Zusammenfassung: | We develop an algorithm for computing the symbolic and numeric Cholesky factorization of a large sparse symmetric positive definite matrix. The algorithm is intended for a message-passing multiprocessor system, such as the hypercube, and is based on the concept of elimination forests. In addition, we provide an algorithm for computing these forests along with a discussion of the algorithm's complexity and a proof of its correctness. We also examine the related issue of load balancing. |
Beschreibung: | 28 S.5 |
Internformat
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100 | 1 | |a Zmijewski, Earl |e Verfasser |4 aut | |
245 | 1 | 0 | |a A parallel algorithm for large sparse symbolic and numeric Cholesky facto rization on a multiprocessor |c Earl Zmijewski ; John R. Gilbert |
264 | 1 | |a Ithaca, New York |c 1986 | |
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336 | |b txt |2 rdacontent | ||
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490 | 1 | |a Cornell University <Ithaca, NY> / Department of Computer Science: Technical report |v 733 | |
520 | 3 | |a We develop an algorithm for computing the symbolic and numeric Cholesky factorization of a large sparse symmetric positive definite matrix. The algorithm is intended for a message-passing multiprocessor system, such as the hypercube, and is based on the concept of elimination forests. In addition, we provide an algorithm for computing these forests along with a discussion of the algorithm's complexity and a proof of its correctness. We also examine the related issue of load balancing. | |
650 | 4 | |a Matrices | |
650 | 4 | |a Multiprocessors | |
650 | 4 | |a Parallel processing (Electronic computers) | |
700 | 1 | |a Gilbert, John R. |e Verfasser |4 aut | |
810 | 2 | |a Department of Computer Science: Technical report |t Cornell University <Ithaca, NY> |v 733 |w (DE-604)BV006185504 |9 733 | |
999 | |a oai:aleph.bib-bvb.de:BVB01-007063791 |
Datensatz im Suchindex
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author | Zmijewski, Earl Gilbert, John R. |
author_facet | Zmijewski, Earl Gilbert, John R. |
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author_sort | Zmijewski, Earl |
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id | DE-604.BV010592982 |
illustrated | Not Illustrated |
indexdate | 2024-07-09T17:55:37Z |
institution | BVB |
language | English |
oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-007063791 |
oclc_num | 14906722 |
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physical | 28 S.5 |
publishDate | 1986 |
publishDateSearch | 1986 |
publishDateSort | 1986 |
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series2 | Cornell University <Ithaca, NY> / Department of Computer Science: Technical report |
spelling | Zmijewski, Earl Verfasser aut A parallel algorithm for large sparse symbolic and numeric Cholesky facto rization on a multiprocessor Earl Zmijewski ; John R. Gilbert Ithaca, New York 1986 28 S.5 txt rdacontent n rdamedia nc rdacarrier Cornell University <Ithaca, NY> / Department of Computer Science: Technical report 733 We develop an algorithm for computing the symbolic and numeric Cholesky factorization of a large sparse symmetric positive definite matrix. The algorithm is intended for a message-passing multiprocessor system, such as the hypercube, and is based on the concept of elimination forests. In addition, we provide an algorithm for computing these forests along with a discussion of the algorithm's complexity and a proof of its correctness. We also examine the related issue of load balancing. Matrices Multiprocessors Parallel processing (Electronic computers) Gilbert, John R. Verfasser aut Department of Computer Science: Technical report Cornell University <Ithaca, NY> 733 (DE-604)BV006185504 733 |
spellingShingle | Zmijewski, Earl Gilbert, John R. A parallel algorithm for large sparse symbolic and numeric Cholesky facto rization on a multiprocessor Matrices Multiprocessors Parallel processing (Electronic computers) |
title | A parallel algorithm for large sparse symbolic and numeric Cholesky facto rization on a multiprocessor |
title_auth | A parallel algorithm for large sparse symbolic and numeric Cholesky facto rization on a multiprocessor |
title_exact_search | A parallel algorithm for large sparse symbolic and numeric Cholesky facto rization on a multiprocessor |
title_full | A parallel algorithm for large sparse symbolic and numeric Cholesky facto rization on a multiprocessor Earl Zmijewski ; John R. Gilbert |
title_fullStr | A parallel algorithm for large sparse symbolic and numeric Cholesky facto rization on a multiprocessor Earl Zmijewski ; John R. Gilbert |
title_full_unstemmed | A parallel algorithm for large sparse symbolic and numeric Cholesky facto rization on a multiprocessor Earl Zmijewski ; John R. Gilbert |
title_short | A parallel algorithm for large sparse symbolic and numeric Cholesky facto rization on a multiprocessor |
title_sort | a parallel algorithm for large sparse symbolic and numeric cholesky facto rization on a multiprocessor |
topic | Matrices Multiprocessors Parallel processing (Electronic computers) |
topic_facet | Matrices Multiprocessors Parallel processing (Electronic computers) |
volume_link | (DE-604)BV006185504 |
work_keys_str_mv | AT zmijewskiearl aparallelalgorithmforlargesparsesymbolicandnumericcholeskyfactorizationonamultiprocessor AT gilbertjohnr aparallelalgorithmforlargesparsesymbolicandnumericcholeskyfactorizationonamultiprocessor |