We consider the well-known augmented Lagrangian method for constrained optimization
and compare its classical variant to a modified counterpart which uses safeguarded …

We consider the global and local convergence properties of a class of augmented
Lagrangian methods for solving nonlinear programming problems. In these methods, linear …

This book is about the Augmented Lagrangian method, a popular technique for solving
constrained optimization problems. It is mainly dedicated to engineers, chemists, physicists …

Some important methods for constrained optimization replace the original problem by a
sequence of subproblems in which the constraints are represented by terms added to the …

We consider global convergence properties of the augmented Lagrangian methods on
problems with degenerate constraints, with a special emphasis on mathematical programs …

At each outer iteration of standard Augmented Lagrangian methods one tries to solve a box-
constrained optimization problem with some prescribed tolerance. In the continuous world …

The global and local convergence properties of a class of augmented Lagrangian methods
for solving nonlinear programming problems are considered. In such methods, simple …

In this paper we introduced and analyzed the Log-Sigmoid (LS) multipliers method for
constrained optimization. The LS method is to the recently developed smoothing technique …

The optimization literature is vast in papers dealing with improvements on the global
convergence of augmented Lagrangian schemes. Usually, the results are based on weak …

The augmented Lagrangian method (ALM) is extended to a broader-than-ever setting of
generalized nonlinear programming in convex and nonconvex optimization that is capable …