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dc.contributor.author Contino, Maximiliano
dc.contributor.author Giribet, Juan Ignacio
dc.contributor.author Maestripieri, Alejandra Laura
dc.date.available 2018-11-28T20:40:05Z
dc.date.issued 2017-04
dc.identifier.citation Contino, Maximiliano; Giribet, Juan Ignacio; Maestripieri, Alejandra Laura; Weighted least squares solutions of the equation AXB - C = 0; Elsevier Science Inc; Linear Algebra and its Applications; 518; 4-2017; 177-197
dc.identifier.issn 0024-3795
dc.identifier.uri http://hdl.handle.net/11336/65550
dc.description.abstract Let H be a Hilbert space, L(H) the algebra of bounded linear operators on H and W ∈ L(H) a positive operator such that W^1/2 is in the p-Schatten class, for some 1 ≤ p < ∞. Given A,B ∈ L(H) with closed range and C ∈ L(H), we study the following weighted approximation problem: analyze the existence ofmin{ ||AXB − C||p,W , X ∈L(H)}, (0.1)where ||X ||p,W = ||W^1/2 X ||p . We also study the related operator approximation problem: analyze the existence ofmin {(AXB − C)*W (AXB − C), X ∈L(H)}, (0.2)where the order is the one induced in L(H) by the cone of positive operators. In this paper we prove that the existence of the minimum of (0.2) is equivalent to the existence of a solution of the normal equation A*W (AXB − C) = 0. We also give sufficient conditions for the existence of the minimum.
dc.format application/pdf
dc.language.iso eng
dc.publisher Elsevier Science Inc
dc.rights info:eu-repo/semantics/openAccess
dc.rights.uri https://creativecommons.org/licenses/by-nc-nd/2.5/ar/
dc.subject OBLIQUE PROJECTIONS
dc.subject OPERATOR APPROXIMATION
dc.subject SCHATTEN P CLASSES
dc.subject.classification Matemática Pura
dc.subject.classification Matemáticas
dc.subject.classification CIENCIAS NATURALES Y EXACTAS
dc.title Weighted least squares solutions of the equation AXB - C = 0
dc.type info:eu-repo/semantics/article
dc.type info:ar-repo/semantics/artículo
dc.type info:eu-repo/semantics/publishedVersion
dc.date.updated 2018-11-12T13:21:46Z
dc.identifier.eissn 1873-1856
dc.journal.volume 518
dc.journal.pagination 177-197
dc.journal.pais Estados Unidos
dc.description.fil Fil: Contino, Maximiliano. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Saavedra 15. Instituto Argentino de Matemática Alberto Calderón; Argentina
dc.description.fil Fil: Giribet, Juan Ignacio. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Saavedra 15. Instituto Argentino de Matemática Alberto Calderón; Argentina
dc.description.fil Fil: Maestripieri, Alejandra Laura. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Saavedra 15. Instituto Argentino de Matemática Alberto Calderón; Argentina
dc.journal.title Linear Algebra and its Applications
dc.relation.alternativeid info:eu-repo/semantics/altIdentifier/url/https://www.sciencedirect.com/science/article/pii/S0024379516306279
dc.relation.alternativeid info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1016/j.laa.2016.12.028
dc.relation.alternativeid info:eu-repo/semantics/altIdentifier/url/https://arxiv.org/abs/1610.00645
dc.conicet.fuente unificacion


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    Articulos de INST.ARG.DE MATEMATICAS "ALBERTO CALDERON"

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info:eu-repo/semantics/openAccess Excepto donde se diga explícitamente, este item se publica bajo la siguiente descripción: Atribución-NoComercial-SinDerivadas 2.5 Argentina (CC BY-NC-ND 2.5 AR)