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Reduced gradient method combined with augmented Lagrangian and barrier for the optimal power flow problem
(ELSEVIER SCIENCE INC, 2008)
A new approach for solving the optimal power flow (OPF) problem is established by combining the reduced gradient method and the augmented Lagrangian method with barriers and exploring specific characteristics of the relations ...
Augmented Lagrangian methods under the constant positive linear dependence constraint qualification
(SPRINGER, 2008)
Two Augmented Lagrangian algorithms for solving KKT systems are introduced. The algorithms differ in the way in which penalty parameters are updated. Possibly infeasible accumulation points are characterized. It is proved ...
Augmented lagrangians and sphere packing problems
(Taylor & Francis LtdAbingdonInglaterra, 1998)
On the cost of solving augmented Lagrangian subproblems
(Springer, 2020-07)
At each iteration of the augmented Lagrangian algorithm, a nonlinear subproblem is being solved. The number of inner iterations (of some/any method) needed to obtain a solution of the subproblem, or even a suitable approximate ...
Improving ultimate convergence of an augmented Lagrangian method
(TAYLOR & FRANCIS LTD, 2008)
Optimization methods that employ the classical Powell-Hestenes-Rockafellar augmented Lagrangian are useful tools for solving nonlinear programming problems. Their reputation decreased in the last 10 years due to the ...
Augmented Lagrangian method with nonmonotone penalty parameters for constrained optimization
(SPRINGERNEW YORK, 2012)
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, using exact arithmetic, this subproblem ...
A mortar method combined with an augmented Lagrangian approach for treatment of mechanical contact problems
(Springer, 2014)
This work presents a mixed penalty-duality formulation from an augmented Lagrangian approach for treating the contact inequality constraints. The augmented Lagrangian approach allows to regularize the non differentiable ...
Convergence Results of an Augmented Lagrangian Method Using the Exponential Penalty Function
(Springer/Plenum Publishers, 2016-01)
In the present research, an Augmented Lagrangian method with the use of the exponential penalty function for solving inequality constraints problems is considered. Global convergence is proved using the constant positive ...
A second-order convergence augmented Lagrangian method using non-quadratic penalty functions
(Springer, 2019-06)
The purpose of the present paper is to study the global convergence of a practical Augmented Lagrangian model algorithm that considers non-quadratic Penalty–Lagrangian functions. We analyze the convergence of the model ...
Structured minimal-memory inexact quasi-Newton method and secant preconditioners for augmented Lagrangian optimization
(SPRINGER, 2008)
Augmented Lagrangian methods for large-scale optimization usually require efficient algorithms for minimization with box constraints. On the other hand, active-set box-constraint methods employ unconstrained optimization ...