Now showing items 11-20 of 43
On Second-Order Optimality Conditions for Vector Optimization
(Springer/plenum PublishersNew YorkEUA, 2011)
TWO NEW WEAK CONSTRAINT QUALIFICATIONS AND APPLICATIONS
(Siam PublicationsPhiladelphia, 2012)
ON AUGMENTED LAGRANGIAN METHODS WITH GENERAL LOWER-LEVEL CONSTRAINTS
(Siam PublicationsPhiladelphiaEUA, 2007)
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 ...
On second-order optimality conditions for nonlinear programming
(Taylor & Francis LtdAbingdonInglaterra, 2007)
A practical optimality condition without constraint qualifications for nonlinear programming
(Springer/plenum PublishersNew YorkEUA, 2003)
Second-order negative-curvature methods for box-constrained and general constrained optimization
A Nonlinear Programming algorithm that converges to second-order stationary points is introduced in this paper. The main tool is a second-order negative-curvature method for box-constrained minimization of a certain class ...
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 ...
On Second-order Optimality Conditions In Nonlinear Optimization
(Taylor & Francis LtdAbingdon, 2017)
On the solution of mathematical programming problems with equilibrium constraints
Mathematical programming problems with equilibrium constraints (MPEC) are nonlinear programming problems where the constraints have a form that is analogous to first-order optimality conditions of constrained optimization. ...