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Campo DC | Valor | Lengua/Idioma |
---|---|---|
dc.provenance | CONICET | - |
dc.creator | Contino, Maximiliano | - |
dc.creator | Giribet, Juan Ignacio | - |
dc.creator | Maestripieri, Alejandra Laura | - |
dc.date | 2018-11-28T20:40:05Z | - |
dc.date | 2018-11-28T20:40:05Z | - |
dc.date | 2017-04 | - |
dc.date | 2018-11-12T13:21:46Z | - |
dc.date.accessioned | 2019-04-29T15:29:57Z | - |
dc.date.available | 2019-04-29T15:29:57Z | - |
dc.date.issued | 2018-11-28T20:40:05Z | - |
dc.date.issued | 2018-11-28T20:40:05Z | - |
dc.date.issued | 2017-04 | - |
dc.date.issued | 2018-11-12T13:21:46Z | - |
dc.identifier | 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 | 0024-3795 | - |
dc.identifier | http://hdl.handle.net/11336/65550 | - |
dc.identifier | 1873-1856 | - |
dc.identifier | CONICET Digital | - |
dc.identifier | CONICET | - |
dc.identifier.uri | http://rodna.bn.gov.ar:8080/jspui/handle/bnmm/295230 | - |
dc.description | 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{ | - |
dc.description | AXB − C | - |
dc.description | p,W , X ∈L(H)}, (0.1)where | - |
dc.description | X | - |
dc.description | p,W = | - |
dc.description | W^1/2 X | - |
dc.description | 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.description | 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: 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: Maestripieri, Alejandra Laura. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Saavedra 15. Instituto Argentino de Matemática Alberto Calderón; Argentina | - |
dc.format | application/pdf | - |
dc.format | application/pdf | - |
dc.format | application/pdf | - |
dc.format | application/pdf | - |
dc.language | eng | - |
dc.publisher | Elsevier Science Inc | - |
dc.relation | info:eu-repo/semantics/altIdentifier/url/https://www.sciencedirect.com/science/article/pii/S0024379516306279 | - |
dc.relation | info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1016/j.laa.2016.12.028 | - |
dc.relation | info:eu-repo/semantics/altIdentifier/url/https://arxiv.org/abs/1610.00645 | - |
dc.rights | info:eu-repo/semantics/openAccess | - |
dc.rights | https://creativecommons.org/licenses/by-nc-nd/2.5/ar/ | - |
dc.source | reponame:CONICET Digital (CONICET) | - |
dc.source | instname:Consejo Nacional de Investigaciones Científicas y Técnicas | - |
dc.source | instacron:CONICET | - |
dc.source.uri | http://hdl.handle.net/11336/65550 | - |
dc.subject | OBLIQUE PROJECTIONS | - |
dc.subject | OPERATOR APPROXIMATION | - |
dc.subject | SCHATTEN P CLASSES | - |
dc.subject | Matemática Pura | - |
dc.subject | Matemáticas | - |
dc.subject | 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:eu-repo/semantics/publishedVersion | - |
dc.type | info:ar-repo/semantics/articulo | - |
Aparece en las colecciones: | CONICET |
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