A simple proof of second-order sufficient optimality conditions in nonlinear semidefinite optimization
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Publication:6411841
DOI10.1007/S11590-023-02031-7arXiv2209.12209OpenAlexW4382465305MaRDI QIDQ6411841
Publication date: 25 September 2022
Abstract: In this note, we present an elementary proof for a well-known second-order sufficient optimality condition in nonlinear semidefinite optimization which does not rely on the enhanced theory of second-order tangents. Our approach builds on an explicit elementary computation of the so-called second subderivative of the indicator function associated with the semidefinite cone which recovers the best curvature term known in the literature.
Full work available at URL: https://doi.org/10.1007/s11590-023-02031-7
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