On the Uniform Duality in Copositive Optimization
Abstract In this paper, we establish new necessary and sufficient conditions guaranteeing the uniform LP duality for linear problems of Copositive Programming and formulate these conditions in different equivalent forms. The main results are obtained using the approach developed in previous papers of the authors and based on a concept of immobile indices that permits alternative representations of the set of feasible solutions.
Authors
- Olga Dudina (ORCID: https://orcid.org/0000-0002-6788-8783)
- O. I. Kostyukova (ORCID: https://orcid.org/0000-0002-0959-0831)
- Tatiana Tchemisova (ORCID: https://orcid.org/0000-0002-2678-2552)
Institutions
- National Academy of Sciences of Belarus (BY)
- Belarusian State University (BY)
- Institute of Mathematics (BY)
- University of Aveiro (PT)
Publication Details
- Journal
- Journal of Optimization Theory and Applications
- Published
- 2024-08-29
- DOI
- https://doi.org/10.1007/s10957-024-02515-1
- Citations
- 1
- Primary Topic
- Advanced Optimization Algorithms Research
- Type
- article
- Field-Weighted Citation Impact
- 0.73
Funders
- Universidade de Aveiro
- Center for Research and Development in Mathematics and Applications
- Fundação para a Ciência e a Tecnologia