Primal or dual strong-duality in nonconvex optimization and a class of quasiconvex problems having zero duality gap
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DOI: 10.1007/s10898-017-0542-9
Abstract: Primal or dual strong-duality (or min-sup, inf-max duality) in nonconvex optimization is revisited in view of recent literature on the subject, establishing, in particular, new characterizations for the second case. This gives rise to a… read more here.
Keywords: duality; dual strong; strong duality; duality gap ... See more keywords
On strong duality in linear copositive programming
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DOI: 10.1007/s10898-021-00995-3
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… read more here.
Keywords: duality; copositive programming; linear copositive; problem ... See more keywords
Extended Farkas lemma and strong duality for composite optimization problems with DC functions
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DOI: 10.1080/02331934.2016.1266628
Abstract: In this paper, we consider the optimization problem in locally convex Hausdorff topological vector spaces with objectives given as the difference of two composite functions and constraints described by an arbitrary (possibly infinite) number of… read more here.
Keywords: strong duality; farkas lemma; optimization; extended farkas ... See more keywords
A Study on the Strong Duality of Second-Order Conic Relaxation of AC Optimal Power Flow in Radial Networks
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DOI: 10.1109/tpwrs.2021.3087639
Abstract: For the popular second-order conic program (SOCP) formulation of AC optimal power flow (OPF) in a radial network, this paper first shows that it does not have the strong duality property in general. Then, through… read more here.
Keywords: duality; second order; power flow; strong duality ... See more keywords