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A New Augmented Lagrangian Method for MPCCs—Theoretical and Numerical Comparison with Existing Augmented Lagrangian Methods

Mathematics of Operations Research, 2022
We propose a new augmented Lagrangian (AL) method for solving the mathematical program with complementarity constraints (MPCC), where the complementarity constraints are left out of the AL function and treated directly. Two observations motivate us to propose this method: The AL subproblems are closer to the original problem in terms of the constraint
Lei Guo, Zhibin Deng
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Revisiting augmented Lagrangian duals

Mathematical Programming, 2021
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
M. Cordova   +2 more
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An augmented Lagrangian filter method

Mathematical Methods of Operations Research, 2020
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Sven Leyffer, Charlie Vanaret
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Abstract Convexity and Augmented Lagrangians

SIAM Journal on Optimization, 2007
The ultimate goal of this paper is to demonstrate that abstract convexity provides a natural language and a suitable framework for the examination of zero duality gap properties and exact multipliers of augmented Lagrangians. We study augmented Lagrangians in a very general setting and formulate the main definitions and facts describing the augmented ...
Regina Sandra Burachik   +1 more
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Augmented Lagrangians in semi-infinite programming

Mathematical Programming, 2007
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Jan-J. Rückmann, Alexander Shapiro 0001
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An augmented Lagrangian method for distributed optimization

Mathematical Programming, 2014
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Nikolaos Chatzipanagiotis   +2 more
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Nonlinear Augmented Lagrangian and Duality Theory

Mathematics of Operations Research, 2013
In this paper, a unified framework of a nonlinear augmented Lagrangian dual problem is investigated for the primal problem of minimizing an extended real-valued function by virtue of a nonlinear augmenting penalty function. Our framework is more general than the ones in the literature in the sense that our nonlinear augmenting penalty function is ...
Changyu Wang   +2 more
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On the Augmented Lagrangian

Mathematics of Operations Research, 1986
It is well known that, for a nonlinear program, any Karush–Kuhn–Tucker point that satisfies the second order sufficient condition is also a strict local minimum of the augmented Lagrangian with an underlying penalty parameter sufficiently large. A main theme of the paper is to strengthen the theorem and bring to light an interesting connection among ...
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On the cost of solving augmented Lagrangian subproblems

Mathematical Programming, 2019
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Damián R. Fernández   +1 more
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