Convergence results of an augmented Lagrangian method using the exponential penalty function

A second-order convergence augmented Lagrangian method using non-quadratic penalty functions ⋮ Dislocation hyperbolic augmented Lagrangian algorithm for nonconvex optimization ⋮ An approach to solve local and global optimization problems based on exact objective filled penalty functions ⋮ A Sequential Optimality Condition Related to the Quasi-normality Constraint Qualification and Its Algorithmic Consequences

LANCELOT

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Derivative-free methods for nonlinear programming with general lower-level constraints
On the convergence of the exponential multiplier method for convex programming
A relaxed constant positive linear dependence constraint qualification and applications
Augmented Lagrangians with possible infeasibility and finite termination for global nonlinear programming
Unified theory of augmented Lagrangian methods for constrained global optimization
Convergence properties of modified and partially-augmented Lagrangian methods for mathematical programs with complementarity constraints
Stability in the presence of degeneracy and error estimation
Stable exponential-penalty algorithm with superlinear convergence
Local behavior of an iterative framework for generalized equations with nonisolated solutions
Augmented non-quadratic penalty algorithms
Global minimization using an augmented Lagrangian method with variable lower-level constraints
On the convergence properties of modified augmented Lagrangian methods for mathematical programming with complementarity constraints
Second-order negative-curvature methods for box-constrained and general constrained optimization
Augmented Lagrangian methods under the constant positive linear dependence constraint qualification
Numerical comparison of augmented Lagrangian algorithms for nonconvex problems
Constrained optimization and image space analysis. Vol. 1: Separation of sets and optimality conditions
Partial augmented Lagrangian method and mathematical programs with complementarity constraints
The Fritz John necessary optimality conditions in the presence of equality and inequality constraints
Multiplier and gradient methods
The boundedness of penalty parameters in an augmented Lagrangian method with constrained subproblems
On relaxed constant rank regularity condition in mathematical programming
Lagrange Multipliers and Optimality
A Globally Convergent Augmented Lagrangian Algorithm for Optimization with General Constraints and Simple Bounds
Directional derivative of the marginal function in nonlinear programming
On Augmented Lagrangian Methods with General Lower-Level Constraints
Convergence Properties of an Augmented Lagrangian Algorithm for Optimization with a Combination of General Equality and Linear Constraints
Two New Weak Constraint Qualifications and Applications
Global Convergence of Augmented Lagrangian Methods Applied to Optimization Problems with Degenerate Constraints, Including Problems with Complementarity Constraints