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Augmented Lagrangians quadratic growth and second-order sufficient optimality conditions
(Taylor & Francis Ltd, 2020-08-21)
It is well-known that the primal quadratic growth condition of the classical augmented Lagrangian around a local minimizer can be obtained under the second-order sufficient optimality condition. In this paper, we show that ...
Augmented Lagrangians quadratic growth and second-order sufficient optimality conditions
(Taylor & Francis Ltd, 2020-08-21)
It is well-known that the primal quadratic growth condition of the classical augmented Lagrangian around a local minimizer can be obtained under the second-order sufficient optimality condition. In this paper, we show that ...
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 ...
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 ...
Augmented lagrangians with adaptive precision control for quadratic programming with equality constraints
(SpringerNew YorkEUA, 1999)
Augmented lagrangians and sphere packing problems
(Taylor & Francis LtdAbingdonInglaterra, 1998)
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 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 ...
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 ...