QPALM achieves O(T^{-1/3}) non-asymptotic convergence to ε-KKT points for weakly convex nonlinear programs by embedding quadratic approximations into a proximal augmented Lagrangian method.
Curtis, Michael J
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A Proximal Augmented Lagrangian Method Based on Quadratic Approximations for Weakly Convex Optimization
QPALM achieves O(T^{-1/3}) non-asymptotic convergence to ε-KKT points for weakly convex nonlinear programs by embedding quadratic approximations into a proximal augmented Lagrangian method.