Extensions of incomplete oblique projections method for solving rank-deficient least-squares problems

The aim of this paper is to extend the applicability of an algorithm for solving inconsistent linear systems to the rank-deficient case, by employing incomplete projections onto the set of solutions of the augmented system Ax-r = b. The extended algorithm converges to the unique minimal norm solutio...

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Detalles Bibliográficos
Autores principales:	Scolnik, Hugo Daniel, Echebest, Nélida Ester, Guardarucci, María Teresa
Formato:	Articulo
Lenguaje:	Inglés
Publicado:	2009
Materias:	Ciencias Exactas Incomplete oblique projections Minimal norm solution Rank-deficient least-squares problems
Acceso en línea:	http://sedici.unlp.edu.ar/handle/10915/82673
Aporte de:	SEDICI (UNLP) de Universidad Nacional de La Plata

id	I19-R120-10915-82673
record_format	dspace
institution	Universidad Nacional de La Plata
institution_str	I-19
repository_str	R-120
collection	SEDICI (UNLP)
language	Inglés
topic	Ciencias Exactas Incomplete oblique projections Minimal norm solution Rank-deficient least-squares problems
spellingShingle	Ciencias Exactas Incomplete oblique projections Minimal norm solution Rank-deficient least-squares problems Scolnik, Hugo Daniel Echebest, Nélida Ester Guardarucci, María Teresa Extensions of incomplete oblique projections method for solving rank-deficient least-squares problems
topic_facet	Ciencias Exactas Incomplete oblique projections Minimal norm solution Rank-deficient least-squares problems
description	The aim of this paper is to extend the applicability of an algorithm for solving inconsistent linear systems to the rank-deficient case, by employing incomplete projections onto the set of solutions of the augmented system Ax-r = b. The extended algorithm converges to the unique minimal norm solution of the least squares solutions. For that purpose, incomplete oblique projections are used, defined by means of matrices that penalize the norm of the residuals. The theoretical properties of the new algorithm are analyzed, and numerical experiences are presented comparing its performance with some well-known projection 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	Extensions of incomplete oblique projections method for solving rank-deficient least-squares problems
title_short	Extensions of incomplete oblique projections method for solving rank-deficient least-squares problems
title_full	Extensions of incomplete oblique projections method for solving rank-deficient least-squares problems
title_fullStr	Extensions of incomplete oblique projections method for solving rank-deficient least-squares problems
title_full_unstemmed	Extensions of incomplete oblique projections method for solving rank-deficient least-squares problems
title_sort	extensions of incomplete oblique projections method for solving rank-deficient least-squares problems
publishDate	2009
url	http://sedici.unlp.edu.ar/handle/10915/82673
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bdutipo_str	Repositorios
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Extensions of incomplete oblique projections method for solving rank-deficient least-squares problems

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