Geodesic
General Formulation of the S-Procedure
Journal of convex analysis, Tome 31 (2024) no. 4, pp. 1289-1304
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We extend the S-procedure formulation to the general perturbational duality frame and give necessary and sufficient conditions for its validity, pointing out the hidden part of convexity.
Classification : 90C30, 90C46
Mots-clés : S-lemma, Farkas type Lemma, perturbational duality, separation of sets, Hahn-Banach Theorem, conjugacy 
@article{JCA_2024_31_4_JCA_2024_31_4_a13,
     author = {M. Volle and M. Barro},
     title = {General {Formulation} of the {S-Procedure}},
     journal = {Journal of convex analysis},
     pages = {1289--1304},
     year = {2024},
     volume = {31},
     number = {4},
     url = {http://geodesic.mathdoc.fr/item/JCA_2024_31_4_JCA_2024_31_4_a13/}
}
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M. Volle; M. Barro. General Formulation of the S-Procedure. Journal of convex analysis, Tome 31 (2024) no. 4, pp. 1289-1304. http://geodesic.mathdoc.fr/item/JCA_2024_31_4_JCA_2024_31_4_a13/