Optimality conditions for nonlinear semidefinite programming via squared slack variables

DOI10.1007/s10107-016-1040-4zbMath1391.90458arXiv1512.05507OpenAlexW2374350312MaRDI QIDQ2413085

Ellen H. Fukuda, Masao Fukushima, Bruno F. Lourenço

Publication date: 6 April 2018

Published in: Mathematical Programming. Series A. Series B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1512.05507

zbMATH Keywords

optimality conditionssecond-order conditionsnonlinear semidefinite programmingsquared slack variables

Mathematics Subject Classification ID

Semidefinite programming (90C22) Optimality conditions and duality in mathematical programming (90C46)

Related Items

Exact augmented Lagrangian functions for nonlinear semidefinite programming, Complexity analysis of interior-point methods for second-order stationary points of nonlinear semidefinite optimization problems, First- and second-order optimality conditions for second-order cone and semidefinite programming under a constant rank condition, On the weak second-order optimality condition for nonlinear semidefinite and second-order cone programming, Optimality Conditions for Problems over Symmetric Cones and a Simple Augmented Lagrangian Method

Uses Software

• PENNON
• SDPLR
• PENLAB

Cites Work

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