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math.OC2017★ 8 cited
Exact augmented Lagrangian functions for nonlinear semidefinite programming
Ellen H. Fukuda, Bruno F. Lourenço
In this paper, we study augmented Lagrangian functions for nonlinear semidefinite programming (NSDP) problems with exactness properties. The term exact is used in the sense that th…
math.OC2017★ 8 cited
Optimality conditions for problems over symmetric cones and a simple augmented Lagrangian method
Bruno F. Lourenço, Ellen H. Fukuda, Masao Fukushima
In this work we are interested in nonlinear symmetric cone problems (NSCPs), which contain as special cases nonlinear semidefinite programming, nonlinear second order cone programm…