Indefinite least-squares problems and pseudo-regularity

Given two Krein spaces H and K, a (bounded) closed-range operator C:H→K and a vector y∈K, the indefinite least-squares problem consists in finding those vectors u∈H such that [Cu - y, Cu - y] = min<sub>x∈H</sub>[Cx - y, Cx - y]. The indefinite least-squares problem has been thoroughly st...

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Detalles Bibliográficos
Autores principales:	Giribet, Juan Ignacio, Maestripieri, Alejandra Laura, Martínez Pería, Francisco Dardo
Formato:	Articulo
Lenguaje:	Inglés
Publicado:	2015
Materias:	Ciencias Exactas Matemática Indefinite least-squares Krein space Pseudo-regular subspace
Acceso en línea:	http://sedici.unlp.edu.ar/handle/10915/86713
Aporte de:	SEDICI (UNLP) de Universidad Nacional de La Plata

id	I19-R120-10915-86713
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 Matemática Indefinite least-squares Krein space Pseudo-regular subspace
spellingShingle	Ciencias Exactas Matemática Indefinite least-squares Krein space Pseudo-regular subspace Giribet, Juan Ignacio Maestripieri, Alejandra Laura Martínez Pería, Francisco Dardo Indefinite least-squares problems and pseudo-regularity
topic_facet	Ciencias Exactas Matemática Indefinite least-squares Krein space Pseudo-regular subspace
description	Given two Krein spaces H and K, a (bounded) closed-range operator C:H→K and a vector y∈K, the indefinite least-squares problem consists in finding those vectors u∈H such that [Cu - y, Cu - y] = min<sub>x∈H</sub>[Cx - y, Cx - y]. The indefinite least-squares problem has been thoroughly studied before under the assumption that the range of C is a uniformly J-positive subspace of K. Along this article the range of C is only supposed to be a J-nonnegative pseudo-regular subspace of K. This work is devoted to present a description for the set of solutions of this abstract problem in terms of the family of J-normal projections onto the range of C.
format	Articulo Articulo
author	Giribet, Juan Ignacio Maestripieri, Alejandra Laura Martínez Pería, Francisco Dardo
author_facet	Giribet, Juan Ignacio Maestripieri, Alejandra Laura Martínez Pería, Francisco Dardo
author_sort	Giribet, Juan Ignacio
title	Indefinite least-squares problems and pseudo-regularity
title_short	Indefinite least-squares problems and pseudo-regularity
title_full	Indefinite least-squares problems and pseudo-regularity
title_fullStr	Indefinite least-squares problems and pseudo-regularity
title_full_unstemmed	Indefinite least-squares problems and pseudo-regularity
title_sort	indefinite least-squares problems and pseudo-regularity
publishDate	2015
url	http://sedici.unlp.edu.ar/handle/10915/86713
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bdutipo_str	Repositorios
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Indefinite least-squares problems and pseudo-regularity

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