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.

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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. https://doi.org/10.68381/jca31064

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Published by Heldermann Verlag, 2024. Rights now held by Banach Press.