On strong duality in linear copositive programming

O. I. Kostyukova () and T. V. Tchemisova ()
Additional contact information
O. I. Kostyukova: Institute of Mathematics, National Academy of Sciences of Belarus
T. V. Tchemisova: University of Aveiro, Campus Universitário Santiago

Journal of Global Optimization, 2022, vol. 83, issue 3, No 4, 457-480

Abstract: Abstract 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 for linear copositive problems have similar structure and properties as that proposed in the works by M. Ramana, L. Tuncel, and H. Wolkowicz, for semidefinite programming.

Keywords: Linear Copositive Programming; Strong duality; Normalized immobile index set; Extended dual problem; Constraint Qualification; Semi-infinite Programming (SIP); Semidefinite programming (SDP); 90C25; 90C30; 90C34 (search for similar items in EconPapers)
Date: 2022
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

Downloads: (external link)
http://link.springer.com/10.1007/s10898-021-00995-3 Abstract (text/html)
Access to the full text of the articles in this series is restricted.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:jglopt:v:83:y:2022:i:3:d:10.1007_s10898-021-00995-3

Ordering information: This journal article can be ordered from
http://www.springer. ... search/journal/10898

DOI: 10.1007/s10898-021-00995-3

Access Statistics for this article

Journal of Global Optimization is currently edited by Sergiy Butenko

More articles in Journal of Global Optimization from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().