Now showing items 1-10 of 120
An augmented lagrangian method to solve three-dimensional nonlinear contact problems
A finite element formulation to deal with the friction contact problem between an elastic body and a rigid foundation is presented. An augmented Lagrangian method, which incorporates two Lagrange multipliers and a slack ...
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
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)
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 ...
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 ...
Structured minimal-memory inexact quasi-Newton method and secant preconditioners for augmented Lagrangian optimization
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 ...
A relaxed constant positive linear dependence constraint qualification and applications
(SpringerNew York, 2012)
An augmented Lagrangian technique combined with a mortar algorithm for modelling mechanical contact problems
A finite element formulation for three dimensional (3D) contact mechanics using a mortar algorithm combined with a mixed penalty-duality formulation from an augmented Lagrangian approach is presented. In this method, no ...