On the Uniform Duality in Copositive Optimization

O. I. Kostyukova (), T. V. Tchemisova () and O. S. Dudina ()
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O. I. Kostyukova: National Academy of Sciences of Belarus
T. V. Tchemisova: University of Aveiro
O. S. Dudina: Belarusian State University

Journal of Optimization Theory and Applications, 2024, vol. 203, issue 2, No 32, 1940-1966

Abstract: 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.

Keywords: Copositive programming; Uniform LP duality; Immobile indices; Duality gap; 90C25; 90C46; 49N15 (search for similar items in EconPapers)
Date: 2024
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DOI: 10.1007/s10957-024-02515-1

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