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

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 augmente...

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Detalles Bibliográficos
Autores principales: Scolnik, Hugo Daniel, Echebest, Nélida Ester, Guardarucci, María Teresa
Formato: Articulo
Lenguaje:Inglés
Publicado: 2014
Materias:
Ingeniería
Matemática
Inconsistent systems
Box constrained
Incomplete projections
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/133575
Aporte de:
SEDICI (UNLP) de Universidad Nacional de La Plata
id I19-R120-10915-133575
record_format dspace
institution Universidad Nacional de La Plata
institution_str I-19
repository_str R-120
collection SEDICI (UNLP)
language Inglés
topic Ingeniería
Matemática
Inconsistent systems
Box constrained
Incomplete projections
spellingShingle Ingeniería
Matemática
Inconsistent systems
Box constrained
Incomplete projections
Scolnik, Hugo Daniel
Echebest, Nélida Ester
Guardarucci, María Teresa
On the incomplete oblique projections method for solving box constrained least squares problems
topic_facet Ingeniería
Matemática
Inconsistent systems
Box constrained
Incomplete projections
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.
format Articulo
Articulo
author Scolnik, Hugo Daniel
Echebest, Nélida Ester
Guardarucci, María Teresa
author_facet Scolnik, Hugo Daniel
Echebest, Nélida Ester
Guardarucci, María Teresa
author_sort Scolnik, Hugo Daniel
title On the incomplete oblique projections method for solving box constrained least squares problems
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
publishDate 2014
url http://sedici.unlp.edu.ar/handle/10915/133575
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AT echebestnelidaester ontheincompleteobliqueprojectionsmethodforsolvingboxconstrainedleastsquaresproblems
AT guardaruccimariateresa ontheincompleteobliqueprojectionsmethodforsolvingboxconstrainedleastsquaresproblems
bdutipo_str Repositorios
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