Indefinite least squares with a quadratic constraint

An abstract indefinite least squares problem with a quadratic constraint is considered. This is a quadratic programming problem with one quadratic equality constraint, where neither the objective nor the constraint is a convex function. Necessary and sufficient conditions are found for the existence...

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Bibliographic Details
Published in:Journal of mathematical analysis and applications Vol. 514; no. 1; p. 126297
Main Authors: Gonzalez Zerbo, Santiago, Maestripieri, Alejandra, Martínez Pería, Francisco
Format: Journal Article
Language:English
Published: Elsevier Inc 01.10.2022
Subjects:
Indefinite least squares
Krein spaces
Quadratically constrained quadratic programming
Quadratically constrained quadratic programming
Krein spaces
Indefinite least squares
ISSN:0022-247X, 1096-0813
Online Access:Get full text
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Summary:An abstract indefinite least squares problem with a quadratic constraint is considered. This is a quadratic programming problem with one quadratic equality constraint, where neither the objective nor the constraint is a convex function. Necessary and sufficient conditions are found for the existence of solutions.
ISSN:0022-247X
1096-0813
DOI:10.1016/j.jmaa.2022.126297