Indefinite Abstract Splines with a Quadratic Constraint

We 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 character...

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Bibliographic Details
Published in:	Journal of optimization theory and applications Vol. 186; no. 1; pp. 209 - 225
Main Authors:	Gonzalez Zerbo, Santiago, Maestripieri, Alejandra, Martínez Pería, Francisco
Format:	Journal Article
Language:	English
Published:	New York Springer US 01.07.2020 Springer Nature B.V
Subjects:	Applications of Mathematics Calculus of Variations and Optimal Control; Optimization Constraints Control theory Engineering Equality Hilbert space Mathematics Mathematics and Statistics Operations Research/Decision Theory Optimization Quadratic programming Spline functions Theory of Computation Krein spaces 65D10 46C20 Quadratically constrained quadratic programming 47B50 Abstract splines Linear quadratic regulator 65D07
ISSN:	0022-3239, 1573-2878
Online Access:	Get full text
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