General Formulation of the S-Procedure

Michel Volle; Moussa Barro

Abstract

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.

Author information

Contact details are reproduced from the original publication and may be historical.

Michel Volle

Laboratoire de Mathématiques, Université d'Avignon, Avignon, France

michel.volle@univ-avignon.fr

Moussa Barro

Laboratoire de Mathématiques et d'Informatique, Université Nazi Boni, Bobo-Dioulasso, Burkina Faso

moussa.barro@alumni.univ-avignon.fr

Keywords

S-lemma
Farkas type Lemma
perturbational duality
separation of sets
Hahn-Banach Theorem
conjugacy

Mathematics Subject Classification

90C30, 90C46

Suggested citation

M. Volle, M. Barro. “General Formulation of the S-Procedure.” Journal of Convex Analysis 31 (2024), No. 4, 1289–1304.