On the incomplete oblique projections method for solving box constrained least squares problems

Autores
Scolnik, Hugo Daniel; Echebest, Nélida Ester; Guardarucci, María Teresa
Año de publicación
2014
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
The aim of this paper is to extend the applicability of the incomplete oblique projections method (IOP) previously introduced by the authors for solving inconsistent linear systems to the box constrained case. The new algorithm employs incomplete projections onto the set of solutions of the augmented system Ax − r = b, together with the box constraints, based on a scheme similar to the one of IOP, adding the conditions for accepting an approximate solution in the box. The theoretical properties of the new algorithm are analyzed, and numerical experiences are presented comparing its performance with some well-known methods.
Facultad de Ingeniería
Facultad de Ciencias Exactas
Materia
Ingeniería
Matemática
Inconsistent systems
Box constrained
Incomplete projections
Nivel de accesibilidad
acceso abierto
Condiciones de uso
http://creativecommons.org/licenses/by/4.0/
Repositorio
SEDICI (UNLP)
Institución
Universidad Nacional de La Plata
OAI Identificador
oai:sedici.unlp.edu.ar:10915/133575
Acceder
id SEDICI_48bd66b3f19001ebad3f069d1a2be0a6
oai_identifier_str oai:sedici.unlp.edu.ar:10915/133575
network_acronym_str SEDICI
repository_id_str 1329
network_name_str SEDICI (UNLP)
spelling On the incomplete oblique projections method for solving box constrained least squares problemsScolnik, Hugo DanielEchebest, Nélida EsterGuardarucci, María TeresaIngenieríaMatemáticaInconsistent systemsBox constrainedIncomplete projectionsThe aim of this paper is to extend the applicability of the incomplete oblique projections method (IOP) previously introduced by the authors for solving inconsistent linear systems to the box constrained case. The new algorithm employs incomplete projections onto the set of solutions of the augmented system Ax − r = b, together with the box constraints, based on a scheme similar to the one of IOP, adding the conditions for accepting an approximate solution in the box. The theoretical properties of the new algorithm are analyzed, and numerical experiences are presented comparing its performance with some well-known methods.Facultad de IngenieríaFacultad de Ciencias Exactas2014-05info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionArticulohttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdf17-32http://sedici.unlp.edu.ar/handle/10915/133575enginfo:eu-repo/semantics/altIdentifier/issn/1017-1398info:eu-repo/semantics/altIdentifier/issn/1572-9265info:eu-repo/semantics/altIdentifier/doi/10.1007/s11075-013-9721-zinfo:eu-repo/semantics/openAccesshttp://creativecommons.org/licenses/by/4.0/Creative Commons Attribution 4.0 International (CC BY 4.0)reponame:SEDICI (UNLP)instname:Universidad Nacional de La Platainstacron:UNLP2025-10-15T11:23:43Zoai:sedici.unlp.edu.ar:10915/133575Institucionalhttp://sedici.unlp.edu.ar/Universidad públicaNo correspondehttp://sedici.unlp.edu.ar/oai/snrdalira@sedici.unlp.edu.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:13292025-10-15 11:23:44.11SEDICI (UNLP) - Universidad Nacional de La Platafalse
dc.title.none.fl_str_mv On the incomplete oblique projections method for solving box constrained least squares problems
title On the incomplete oblique projections method for solving box constrained least squares problems
spellingShingle On the incomplete oblique projections method for solving box constrained least squares problems
Scolnik, Hugo Daniel
Ingeniería
Matemática
Inconsistent systems
Box constrained
Incomplete projections
title_short On the incomplete oblique projections method for solving box constrained least squares problems
title_full On the incomplete oblique projections method for solving box constrained least squares problems
title_fullStr On the incomplete oblique projections method for solving box constrained least squares problems
title_full_unstemmed On the incomplete oblique projections method for solving box constrained least squares problems
title_sort On the incomplete oblique projections method for solving box constrained least squares problems
dc.creator.none.fl_str_mv Scolnik, Hugo Daniel
Echebest, Nélida Ester
Guardarucci, María Teresa
author Scolnik, Hugo Daniel
author_facet Scolnik, Hugo Daniel
Echebest, Nélida Ester
Guardarucci, María Teresa
author_role author
author2 Echebest, Nélida Ester
Guardarucci, María Teresa
author2_role author
author
dc.subject.none.fl_str_mv Ingeniería
Matemática
Inconsistent systems
Box constrained
Incomplete projections
topic Ingeniería
Matemática
Inconsistent systems
Box constrained
Incomplete projections
dc.description.none.fl_txt_mv The aim of this paper is to extend the applicability of the incomplete oblique projections method (IOP) previously introduced by the authors for solving inconsistent linear systems to the box constrained case. The new algorithm employs incomplete projections onto the set of solutions of the augmented system Ax − r = b, together with the box constraints, based on a scheme similar to the one of IOP, adding the conditions for accepting an approximate solution in the box. The theoretical properties of the new algorithm are analyzed, and numerical experiences are presented comparing its performance with some well-known methods.
Facultad de Ingeniería
Facultad de Ciencias Exactas
description The aim of this paper is to extend the applicability of the incomplete oblique projections method (IOP) previously introduced by the authors for solving inconsistent linear systems to the box constrained case. The new algorithm employs incomplete projections onto the set of solutions of the augmented system Ax − r = b, together with the box constraints, based on a scheme similar to the one of IOP, adding the conditions for accepting an approximate solution in the box. The theoretical properties of the new algorithm are analyzed, and numerical experiences are presented comparing its performance with some well-known methods.
publishDate 2014
dc.date.none.fl_str_mv 2014-05
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
Articulo
http://purl.org/coar/resource_type/c_6501
info:ar-repo/semantics/articulo
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://sedici.unlp.edu.ar/handle/10915/133575
url http://sedici.unlp.edu.ar/handle/10915/133575
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/issn/1017-1398
info:eu-repo/semantics/altIdentifier/issn/1572-9265
info:eu-repo/semantics/altIdentifier/doi/10.1007/s11075-013-9721-z
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
http://creativecommons.org/licenses/by/4.0/
Creative Commons Attribution 4.0 International (CC BY 4.0)
eu_rights_str_mv openAccess
rights_invalid_str_mv http://creativecommons.org/licenses/by/4.0/
Creative Commons Attribution 4.0 International (CC BY 4.0)
dc.format.none.fl_str_mv application/pdf
17-32
dc.source.none.fl_str_mv reponame:SEDICI (UNLP)
instname:Universidad Nacional de La Plata
instacron:UNLP
reponame_str SEDICI (UNLP)
collection SEDICI (UNLP)
instname_str Universidad Nacional de La Plata
instacron_str UNLP
institution UNLP
repository.name.fl_str_mv SEDICI (UNLP) - Universidad Nacional de La Plata
repository.mail.fl_str_mv alira@sedici.unlp.edu.ar
_version_ 1846064292257857536
score 13.22299

Publicaciones similares