An Augmented Lagrangian Method Exploiting an Active-Set Strategy and Second-Order Information
Copyright policy )An Augmented Lagrangian Method Exploiting an Active-Set Strategy and Second-Order Information
AbstractIn this paper, we consider nonlinear optimization problems with nonlinear equality constraints and bound constraints on the variables. For the solution of such problems, many augmented Lagrangian methods have been defined in the literature. Here, we propose to modify one of these algorithms, namely ALGENCAN by Andreani et al., in such a way to incorporate second-order information into the augmented Lagrangian framework, using an active-set strategy. We show that the overall algorithm has the same convergence properties as ALGENCAN and an asymptotic quadratic convergence rate under suitable assumptions. The numerical results confirm that the proposed algorithm is a viable alternative to ALGENCAN with greater robustness.
Settore MAT/09 - RICERCA OPERATIVA, 90C30, 65K05, Constrained optimization; Augmented Lagrangian methods; Nonlinear programming algorithms; Large-scale optimization, Large-scale optimization, constrained optimization, Nonlinear programming algorithms, Augmented Lagrangian methods, Constrained optimization, Large-scale optimization, Nonlinear programming algorithms, augmented Lagrangian methods, Augmented Lagrangian methods, Numerical mathematical programming methods, Nonlinear programming, Optimization and Control (math.OC), FOS: Mathematics, nonlinear programming algorithms, large-scale optimization, Constrained optimization, Mathematics - Optimization and Control
Settore MAT/09 - RICERCA OPERATIVA, 90C30, 65K05, Constrained optimization; Augmented Lagrangian methods; Nonlinear programming algorithms; Large-scale optimization, Large-scale optimization, constrained optimization, Nonlinear programming algorithms, Augmented Lagrangian methods, Constrained optimization, Large-scale optimization, Nonlinear programming algorithms, augmented Lagrangian methods, Augmented Lagrangian methods, Numerical mathematical programming methods, Nonlinear programming, Optimization and Control (math.OC), FOS: Mathematics, nonlinear programming algorithms, large-scale optimization, Constrained optimization, Mathematics - Optimization and Control
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