On strong duality in linear copositive programming

• Autor(a) principal: Kostyukova, O. I.
• Data de Publicação: 2020
• Outros Autores: Tchemisova, T. V.
• Tipo de documento: Artigo
• Idioma: eng
• Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
• Texto Completo: http://hdl.handle.net/10773/30270
• topic: Linear Copositive Programming; Strong duality; Normalized immobile index set; Extended dual problem; Constraint Qualifications; Semi-infinite Programming (SIP); Semidefinite programming (SDP)

The paper is dedicated to the study of strong duality for a problem of linear copositive programming. Based on the recently introduced concept of the set of normalized immobile indices, an extended dual problem is deduced. The dual problem satisfies the strong duality relations and does not require any additional regularity assumptions such as constraint qualifications. The main difference with the previously obtained results consists in the fact that now the extended dual problem uses neither the immobile indices themselves nor the explicit information about the convex hull of these indices. The strong duality formulations presented in the paper have similar structure and properties as that proposed in the works of M. Ramana, L. Tuncel, and H. Wolkovicz, for semidefinite programming, but are obtained using different techniques.