A numerical experiment with huang algorithm

It is believed that the Huang method is the best one to solve a system of linear equations in the class of ABS methods. Having presented 10 versions of the Huang method and compared them numerically, we will compare the best version of the Huang method with LU (along with partial pivoting) and QR (t...

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Autores:
Esmaeili, Hamid
Tipo de recurso:
Article of journal
Fecha de publicación:
2007
Institución:
Universidad Nacional de Colombia
Repositorio:
Universidad Nacional de Colombia
Idioma:
spa
OAI Identifier:
oai:repositorio.unal.edu.co:unal/73608
Acceso en línea:
https://repositorio.unal.edu.co/handle/unal/73608
http://bdigital.unal.edu.co/38084/
Palabra clave:
ABS Methods
Huang Algorithm
Ill-Conditioned Systems.
Rights
openAccess
License
Atribución-NoComercial 4.0 Internacional
id UNACIONAL2_f73b5ee4050c2f9189143d447cff95f9
oai_identifier_str oai:repositorio.unal.edu.co:unal/73608
network_acronym_str UNACIONAL2
network_name_str Universidad Nacional de Colombia
repository_id_str
spelling Atribución-NoComercial 4.0 InternacionalDerechos reservados - Universidad Nacional de Colombiahttp://creativecommons.org/licenses/by-nc/4.0/info:eu-repo/semantics/openAccesshttp://purl.org/coar/access_right/c_abf2Esmaeili, Hamidfc71e831-b7a9-4404-86a0-bef15970b4153002019-07-03T16:35:08Z2019-07-03T16:35:08Z2007https://repositorio.unal.edu.co/handle/unal/73608http://bdigital.unal.edu.co/38084/It is believed that the Huang method is the best one to solve a system of linear equations in the class of ABS methods. Having presented 10 versions of the Huang method and compared them numerically, we will compare the best version of the Huang method with LU (along with partial pivoting) and QR (through Householder transformations) methods. Numerical results show that all three methods yield approximately similar output in well-conditioned problems while the Huang method works more effectively in ill-conditioned problems.application/pdfspaBoletín de Matemáticashttp://revistas.unal.edu.co/index.php/bolma/article/view/40455Universidad Nacional de Colombia Revistas electrónicas UN Boletín de MatemáticasBoletín de MatemáticasBoletín de Matemáticas; Vol. 14, núm. 1 (2007); 1-13 Boletín de Matemáticas; Vol. 14, núm. 1 (2007); 1-13 2357-6529 0120-0380Esmaeili, Hamid (2007) A numerical experiment with huang algorithm. Boletín de Matemáticas; Vol. 14, núm. 1 (2007); 1-13 Boletín de Matemáticas; Vol. 14, núm. 1 (2007); 1-13 2357-6529 0120-0380 .A numerical experiment with huang algorithmArtículo de revistainfo:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501http://purl.org/coar/resource_type/c_2df8fbb1http://purl.org/coar/version/c_970fb48d4fbd8a85Texthttp://purl.org/redcol/resource_type/ARTABS MethodsHuang AlgorithmIll-Conditioned Systems.ORIGINAL40455-181953-1-PB.pdfapplication/pdf144274https://repositorio.unal.edu.co/bitstream/unal/73608/1/40455-181953-1-PB.pdfe1aac87a2cb55bb7fd95435435d5077cMD51THUMBNAIL40455-181953-1-PB.pdf.jpg40455-181953-1-PB.pdf.jpgGenerated Thumbnailimage/jpeg4182https://repositorio.unal.edu.co/bitstream/unal/73608/2/40455-181953-1-PB.pdf.jpg6d88e9938f9ff9b795d9da8954301955MD52unal/73608oai:repositorio.unal.edu.co:unal/736082023-06-29 23:04:06.561Repositorio Institucional Universidad Nacional de Colombiarepositorio_nal@unal.edu.co
dc.title.spa.fl_str_mv A numerical experiment with huang algorithm
title A numerical experiment with huang algorithm
spellingShingle A numerical experiment with huang algorithm
ABS Methods
Huang Algorithm
Ill-Conditioned Systems.
title_short A numerical experiment with huang algorithm
title_full A numerical experiment with huang algorithm
title_fullStr A numerical experiment with huang algorithm
title_full_unstemmed A numerical experiment with huang algorithm
title_sort A numerical experiment with huang algorithm
dc.creator.fl_str_mv Esmaeili, Hamid
dc.contributor.author.spa.fl_str_mv Esmaeili, Hamid
dc.subject.proposal.spa.fl_str_mv ABS Methods
Huang Algorithm
Ill-Conditioned Systems.
topic ABS Methods
Huang Algorithm
Ill-Conditioned Systems.
description It is believed that the Huang method is the best one to solve a system of linear equations in the class of ABS methods. Having presented 10 versions of the Huang method and compared them numerically, we will compare the best version of the Huang method with LU (along with partial pivoting) and QR (through Householder transformations) methods. Numerical results show that all three methods yield approximately similar output in well-conditioned problems while the Huang method works more effectively in ill-conditioned problems.
publishDate 2007
dc.date.issued.spa.fl_str_mv 2007
dc.date.accessioned.spa.fl_str_mv 2019-07-03T16:35:08Z
dc.date.available.spa.fl_str_mv 2019-07-03T16:35:08Z
dc.type.spa.fl_str_mv Artículo de revista
dc.type.coar.fl_str_mv http://purl.org/coar/resource_type/c_2df8fbb1
dc.type.driver.spa.fl_str_mv info:eu-repo/semantics/article
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dc.type.content.spa.fl_str_mv Text
dc.type.redcol.spa.fl_str_mv http://purl.org/redcol/resource_type/ART
format http://purl.org/coar/resource_type/c_6501
status_str publishedVersion
dc.identifier.uri.none.fl_str_mv https://repositorio.unal.edu.co/handle/unal/73608
dc.identifier.eprints.spa.fl_str_mv http://bdigital.unal.edu.co/38084/
url https://repositorio.unal.edu.co/handle/unal/73608
http://bdigital.unal.edu.co/38084/
dc.language.iso.spa.fl_str_mv spa
language spa
dc.relation.spa.fl_str_mv http://revistas.unal.edu.co/index.php/bolma/article/view/40455
dc.relation.ispartof.spa.fl_str_mv Universidad Nacional de Colombia Revistas electrónicas UN Boletín de Matemáticas
Boletín de Matemáticas
dc.relation.ispartofseries.none.fl_str_mv Boletín de Matemáticas; Vol. 14, núm. 1 (2007); 1-13 Boletín de Matemáticas; Vol. 14, núm. 1 (2007); 1-13 2357-6529 0120-0380
dc.relation.references.spa.fl_str_mv Esmaeili, Hamid (2007) A numerical experiment with huang algorithm. Boletín de Matemáticas; Vol. 14, núm. 1 (2007); 1-13 Boletín de Matemáticas; Vol. 14, núm. 1 (2007); 1-13 2357-6529 0120-0380 .
dc.rights.spa.fl_str_mv Derechos reservados - Universidad Nacional de Colombia
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dc.rights.license.spa.fl_str_mv Atribución-NoComercial 4.0 Internacional
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dc.rights.accessrights.spa.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv Atribución-NoComercial 4.0 Internacional
Derechos reservados - Universidad Nacional de Colombia
http://creativecommons.org/licenses/by-nc/4.0/
http://purl.org/coar/access_right/c_abf2
eu_rights_str_mv openAccess
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dc.publisher.spa.fl_str_mv Boletín de Matemáticas
institution Universidad Nacional de Colombia
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repository.name.fl_str_mv Repositorio Institucional Universidad Nacional de Colombia
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