Indefinite Abstract Splines with a Quadratic Constraint

dc.creatorGonzález Zerbo, Santiago
dc.creatorMaestripieri, Alejandra Laura
dc.creatorMartínez Pería, Francisco Dardo
dc.date2020-06-17
dc.date2022-10-17T19:01:16Z
dc.date.accessioned2023-07-15T04:59:24Z
dc.date.available2023-07-15T04:59:24Z
dc.identifierhttp://sedici.unlp.edu.ar/handle/10915/143964
dc.identifierissn:0022-3239
dc.identifierissn:1573-2878
dc.identifier.urihttps://repositorioslatinoamericanos.uchile.cl/handle/2250/7471661
dc.descriptionWe study an extension to Krein spaces of the abstract interpolating spline problem in Hilbert spaces, introduced by M. Atteia. This is a quadratically constrained quadratic programming problem, where the objective function is not convex, while the equality constraint is sign indefinite. We characterize the existence of solutions and, if there are any, we describe the set of solutions as the union of a family of affine manifolds parallel to a fixed subspace, which depend on the original data.
dc.descriptionFacultad de Ciencias Exactas
dc.formatapplication/pdf
dc.format209-225
dc.languageen
dc.rightshttp://creativecommons.org/licenses/by-nc-sa/4.0/
dc.rightsCreative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0)
dc.subjectMatemática
dc.subjectAbstract splines
dc.subjectKrein spaces
dc.subjectQuadratically constrained quadratic programming
dc.subjectLinear quadratic regulator
dc.titleIndefinite Abstract Splines with a Quadratic Constraint
dc.typeArticulo
dc.typeArticulo


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