A novel approach to find pseudo-peripheral vertices for Snay’s Heuristic
Autor(a) principal: | |
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Data de Publicação: | 2018 |
Outros Autores: | |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Repositório Institucional da UFLA |
Texto Completo: | http://repositorio.ufla.br/jspui/handle/1/34724 |
Resumo: | The solution of linear systems represented by Ax = b is fundamental in many numerical simulations in science and engineering. Reducing the profile of A can reduce the storage requirements and time processing costs of solving such linear systems. In this work, we propose a generalized algorithm for finding pseudo–peripheral vertices for Snay’s heuristic. In experiment performed on 36 instances contained in the Harwell-Boeing and SuiteSparse matrix collections, it has been found that the number of pseudo– peripheral vertices selected in Snay’s heuristic may be suitable for small instances, but it is insufficient to obtain reasonable results in instances that are not small. This paper recommends to select up to 26% (0.3%) of pseudo–peripheral vertices in relation to the instance size when applied to instances smaller than 3,000 (larger than 20,000) vertices. |
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A novel approach to find pseudo-peripheral vertices for Snay’s HeuristicProfile reductionSparse matrixReordering algorithmsThe solution of linear systems represented by Ax = b is fundamental in many numerical simulations in science and engineering. Reducing the profile of A can reduce the storage requirements and time processing costs of solving such linear systems. In this work, we propose a generalized algorithm for finding pseudo–peripheral vertices for Snay’s heuristic. In experiment performed on 36 instances contained in the Harwell-Boeing and SuiteSparse matrix collections, it has been found that the number of pseudo– peripheral vertices selected in Snay’s heuristic may be suitable for small instances, but it is insufficient to obtain reasonable results in instances that are not small. This paper recommends to select up to 26% (0.3%) of pseudo–peripheral vertices in relation to the instance size when applied to instances smaller than 3,000 (larger than 20,000) vertices.Sociedade Brasileira de Matemática Aplicada e Computacional2019-06-12T12:23:22Z2019-06-12T12:23:22Z2018info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfOLIVEIRA, S. L. G. de; BERNARDES, J. A. B. A novel approach to find pseudo-peripheral vertices for Snay’s Heuristic. Tendencias em Matemática Aplicada e Computacional, São Carlos,v. 19, n. 1, p. 1-13, 2018.http://repositorio.ufla.br/jspui/handle/1/34724Tendencias em Matemática Aplicada e Computacionalreponame:Repositório Institucional da UFLAinstname:Universidade Federal de Lavras (UFLA)instacron:UFLAAttribution 4.0 Internationalhttp://creativecommons.org/licenses/by/4.0/info:eu-repo/semantics/openAccessOliveira, S. L. Gonzaga deBernardes, J. A. B.eng2019-06-12T12:23:22Zoai:localhost:1/34724Repositório InstitucionalPUBhttp://repositorio.ufla.br/oai/requestnivaldo@ufla.br || repositorio.biblioteca@ufla.bropendoar:2019-06-12T12:23:22Repositório Institucional da UFLA - Universidade Federal de Lavras (UFLA)false |
dc.title.none.fl_str_mv |
A novel approach to find pseudo-peripheral vertices for Snay’s Heuristic |
title |
A novel approach to find pseudo-peripheral vertices for Snay’s Heuristic |
spellingShingle |
A novel approach to find pseudo-peripheral vertices for Snay’s Heuristic Oliveira, S. L. Gonzaga de Profile reduction Sparse matrix Reordering algorithms |
title_short |
A novel approach to find pseudo-peripheral vertices for Snay’s Heuristic |
title_full |
A novel approach to find pseudo-peripheral vertices for Snay’s Heuristic |
title_fullStr |
A novel approach to find pseudo-peripheral vertices for Snay’s Heuristic |
title_full_unstemmed |
A novel approach to find pseudo-peripheral vertices for Snay’s Heuristic |
title_sort |
A novel approach to find pseudo-peripheral vertices for Snay’s Heuristic |
author |
Oliveira, S. L. Gonzaga de |
author_facet |
Oliveira, S. L. Gonzaga de Bernardes, J. A. B. |
author_role |
author |
author2 |
Bernardes, J. A. B. |
author2_role |
author |
dc.contributor.author.fl_str_mv |
Oliveira, S. L. Gonzaga de Bernardes, J. A. B. |
dc.subject.por.fl_str_mv |
Profile reduction Sparse matrix Reordering algorithms |
topic |
Profile reduction Sparse matrix Reordering algorithms |
description |
The solution of linear systems represented by Ax = b is fundamental in many numerical simulations in science and engineering. Reducing the profile of A can reduce the storage requirements and time processing costs of solving such linear systems. In this work, we propose a generalized algorithm for finding pseudo–peripheral vertices for Snay’s heuristic. In experiment performed on 36 instances contained in the Harwell-Boeing and SuiteSparse matrix collections, it has been found that the number of pseudo– peripheral vertices selected in Snay’s heuristic may be suitable for small instances, but it is insufficient to obtain reasonable results in instances that are not small. This paper recommends to select up to 26% (0.3%) of pseudo–peripheral vertices in relation to the instance size when applied to instances smaller than 3,000 (larger than 20,000) vertices. |
publishDate |
2018 |
dc.date.none.fl_str_mv |
2018 2019-06-12T12:23:22Z 2019-06-12T12:23:22Z |
dc.type.status.fl_str_mv |
info:eu-repo/semantics/publishedVersion |
dc.type.driver.fl_str_mv |
info:eu-repo/semantics/article |
format |
article |
status_str |
publishedVersion |
dc.identifier.uri.fl_str_mv |
OLIVEIRA, S. L. G. de; BERNARDES, J. A. B. A novel approach to find pseudo-peripheral vertices for Snay’s Heuristic. Tendencias em Matemática Aplicada e Computacional, São Carlos,v. 19, n. 1, p. 1-13, 2018. http://repositorio.ufla.br/jspui/handle/1/34724 |
identifier_str_mv |
OLIVEIRA, S. L. G. de; BERNARDES, J. A. B. A novel approach to find pseudo-peripheral vertices for Snay’s Heuristic. Tendencias em Matemática Aplicada e Computacional, São Carlos,v. 19, n. 1, p. 1-13, 2018. |
url |
http://repositorio.ufla.br/jspui/handle/1/34724 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.rights.driver.fl_str_mv |
Attribution 4.0 International http://creativecommons.org/licenses/by/4.0/ info:eu-repo/semantics/openAccess |
rights_invalid_str_mv |
Attribution 4.0 International http://creativecommons.org/licenses/by/4.0/ |
eu_rights_str_mv |
openAccess |
dc.format.none.fl_str_mv |
application/pdf |
dc.publisher.none.fl_str_mv |
Sociedade Brasileira de Matemática Aplicada e Computacional |
publisher.none.fl_str_mv |
Sociedade Brasileira de Matemática Aplicada e Computacional |
dc.source.none.fl_str_mv |
Tendencias em Matemática Aplicada e Computacional reponame:Repositório Institucional da UFLA instname:Universidade Federal de Lavras (UFLA) instacron:UFLA |
instname_str |
Universidade Federal de Lavras (UFLA) |
instacron_str |
UFLA |
institution |
UFLA |
reponame_str |
Repositório Institucional da UFLA |
collection |
Repositório Institucional da UFLA |
repository.name.fl_str_mv |
Repositório Institucional da UFLA - Universidade Federal de Lavras (UFLA) |
repository.mail.fl_str_mv |
nivaldo@ufla.br || repositorio.biblioteca@ufla.br |
_version_ |
1784549972071415808 |