On the Weak Second-order Optimality Condition for Nonlinear Semidefinite and Second-order Cone Programming

Fukuda, Ellen H.; Haeser, Gabriel; Mito, Leonardo M.

doi:10.1007/s11228-023-00676-1

Set-Valued Var. Anal

2023

DOI: 10.1007/s11228-023-00676-1

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On the Weak Second-order Optimality Condition for Nonlinear Semidefinite and Second-order Cone Programming

Ellen H. Fukuda

Gabriel Haeser

Leonardo M. Mito

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A simple proof of second-order sufficient optimality conditions in nonlinear semidefinite optimization

Mehlitz

2023

Optim Lett

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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.

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A simple proof of second-order sufficient optimality conditions in nonlinear semidefinite optimization

Mehlitz

2023

Optim Lett

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On the Weak Second-order Optimality Condition for Nonlinear Semidefinite and Second-order Cone Programming

Cited by 1 publication

References 64 publications

A simple proof of second-order sufficient optimality conditions in nonlinear semidefinite optimization

A simple proof of second-order sufficient optimality conditions in nonlinear semidefinite optimization

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