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The boundedness of penalty parameters in an augmented Lagrangian method with constrained subproblems
(Taylor & Francis Ltd, 2012-12)
Augmented Lagrangian methods are effective tools for solving large-scale nonlinear programming problems. At each outer iteration, a minimization subproblem with simple constraints, whose objective function depends on updated ...
The boundedness of penalty parameters in an augmented Lagrangian method with constrained subproblems
(TAYLOR & FRANCIS LTDABINGDON, 2012)
Augmented Lagrangian methods are effective tools for solving large-scale nonlinear programming problems. At each outer iteration, a minimization subproblem with simple constraints, whose objective function depends on updated ...
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 ...
Absolute minimizer in convex programming by exponential penalty.
(2000)
We consider a nonlinear convex program. Under some general hy-potheses, we prove that approximate solutions obtained by exponential penalty converge toward a particular solution of the original convex program as the penalty ...
Three-dimensional finite element analysis of MHD duct flow by the penalty function formulation
(Institute of Electrical and Electronics Engineers (IEEE), 2001-09-01)
A numerical scheme based on the Finite Element Method (FEM) is presented to calculate the full solution of a three-dimensional steady magnetohydrodynamic (MHD) flow with moderately high Hartmann numbers and interaction ...
Three-dimensional finite element analysis of MHD duct flow by the penalty function formulation
(Institute of Electrical and Electronics Engineers (IEEE), 2001-09-01)
A numerical scheme based on the Finite Element Method (FEM) is presented to calculate the full solution of a three-dimensional steady magnetohydrodynamic (MHD) flow with moderately high Hartmann numbers and interaction ...
The boundedness of penalty parameters in an augmented Lagrangian method with constrained subproblems
(Taylor & FrancisAbingdon, 2012)
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 ...
Existence and approximation for variational problems under uniform constraints on the gradient by power penalty
(SIAM Publications, 2015)
Variational problems under uniform quasi-convex constraints on the gradient are studied. Our
technique consists in approximating the original problem by a one-parameter family of smooth
unconstrained optimization problems. ...
Augmented Lagrangian method with nonmonotone penalty parameters for constrained optimization
(SpringerNew York, 2012)