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

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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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Autores principales: Scolnik, H., Echebest, N., Guardarucci, M.T.
Formato: JOUR
Materias:
Box constrained
Incomplete projections
Inconsistent systems
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_10171398_v66_n1_p17_Scolnik
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Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id todo:paper_10171398_v66_n1_p17_Scolnik
record_format dspace
spelling todo:paper_10171398_v66_n1_p17_Scolnik2023-10-03T15:56:23Z On the incomplete oblique projections method for solving box constrained least squares problems Scolnik, H. Echebest, N. Guardarucci, M.T. Box constrained Incomplete projections Inconsistent systems 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. © 2013 Springer Science+Business Media New York. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_10171398_v66_n1_p17_Scolnik
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic Box constrained
Incomplete projections
Inconsistent systems
spellingShingle Box constrained
Incomplete projections
Inconsistent systems
Scolnik, H.
Echebest, N.
Guardarucci, M.T.
On the incomplete oblique projections method for solving box constrained least squares problems
topic_facet Box constrained
Incomplete projections
Inconsistent systems
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. © 2013 Springer Science+Business Media New York.
format JOUR
author Scolnik, H.
Echebest, N.
Guardarucci, M.T.
author_facet Scolnik, H.
Echebest, N.
Guardarucci, M.T.
author_sort Scolnik, H.
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
url http://hdl.handle.net/20.500.12110/paper_10171398_v66_n1_p17_Scolnik
work_keys_str_mv AT scolnikh ontheincompleteobliqueprojectionsmethodforsolvingboxconstrainedleastsquaresproblems
AT echebestn ontheincompleteobliqueprojectionsmethodforsolvingboxconstrainedleastsquaresproblems
AT guardaruccimt ontheincompleteobliqueprojectionsmethodforsolvingboxconstrainedleastsquaresproblems
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