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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Formato: | Articulo |
Lenguaje: | Inglés |
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2015
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Acceso en línea: | http://sedici.unlp.edu.ar/handle/10915/86713 |
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I19-R120-10915-86713 |
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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 |
work_keys_str_mv |
AT giribetjuanignacio indefiniteleastsquaresproblemsandpseudoregularity AT maestripierialejandralaura indefiniteleastsquaresproblemsandpseudoregularity AT martinezperiafranciscodardo indefiniteleastsquaresproblemsandpseudoregularity |
bdutipo_str |
Repositorios |
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1764820489244508160 |