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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Detalhes bibliográficos
Autores: Gonzalez Zerbo, Santiago, Maestripieri, Alejandra Laura, Martinez Peria, Francisco Dardo
Tipo de documento: artigo
Estado:Versão publicada
Data de publicação:2022
País:Argentina
Recursos:Consejo Nacional de Investigaciones Científicas y Técnicas
Repositório:CONICET Digital (CONICET)
Idioma:inglês
OAI Identifier:oai:ri.conicet.gov.ar:11336/202178
Acesso em linha:http://hdl.handle.net/11336/202178
Access Level:Acceso aberto
Palavra-chave:INDEFINITE LEAST SQUARES
KREIN SPACES
QUADRATICALLY CONSTRAINED QUADRATIC PROGRAMMING
https://purl.org/becyt/ford/1.1
https://purl.org/becyt/ford/1
Descrição
Resumo: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.