Please use this identifier to cite or link to this item: https://hdl.handle.net/10419/308993 
Year of Publication: 
2023
Citation: 
[Journal:] Optimization Letters [ISSN:] 1862-4480 [Volume:] 18 [Issue:] 4 [Publisher:] Springer [Place:] Berlin, Heidelberg [Year:] 2023 [Pages:] 965-976
Publisher: 
Springer, Berlin, Heidelberg
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.
Subjects: 
Second subderivative
Second-order sufficient optimality conditions
Semidefinite optimization
Persistent Identifier of the first edition: 
Creative Commons License: 
cc-by Logo
Document Type: 
Article
Document Version: 
Published Version

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