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Implementation of Augmented Lagrangian Methods for Equilibrium Problems
Journal of Optimization Theory and Applications, 2015zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Mostafa Nasri +3 more
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Augmented Lagrangian Duality for Composite Optimization Problems
Journal of Optimization Theory and Applications, 2014This article studies augmented duality Lagrangian methods for the solution of composite optimization problems. The paper begins with an overview of augmented Lagrangians and their use for solving nonlinear problems as well as the prior research in the field of composite optimization.
Chao Kan, Wen Song
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Approximation of the capillarity problem by an augmented lagrangian method
Numerical Algorithms, 1996The author proposes an algorithm to compute an approximation of capillary surfaces in a gravitational field. The algorithm is based on a decomposition-coordination method by augmented Lagrangians and the discretization is done using the finite element method.
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Hierarchical control via augmented Lagrangians
Kybernetika, 1987Hierarchical control structures are composed of local decision making units and a supremal unit. The present paper deals with a well known hierarchical algorithm based on linearized augmented Lagrangians. An extension of the algorithm to the case of global constraints is given.
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Penalty and Augmented Lagrangian Methods
2017This chapter introduces two very important concepts in constrained nonlinear optimization. These are penalty and augmented Lagrangian concepts. The idea is that both these concepts replace the original problem by a sequence of sub-problems in which the constraints are expressed by terms added to the objective function.
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On Augmented Lagrangian Methods with General Lower-Level Constraints
SIAM Journal on Optimization, 2008Ernesto G Bırgın +2 more
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A Newton-CG Augmented Lagrangian Method for Semidefinite Programming
SIAM Journal on Optimization, 2010Kim-Chuan Toh, Defeng Sun
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