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The augmented Lagrangian method can be used for solving recourse problems and obtaining their normal solution in solving two-stage stochastic linear programming problems.
Saeed Ketabchi, Malihe Behboodi-Kahoo
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Augmentations and immersed Lagrangian fillings
AbstractFor a Legendrian link with or , immersed exact Lagrangian fillings of can be lifted to conical Legendrian fillings of . When is embedded, using the version of functoriality for Legendrian contact homology (LCH) from Pan and Rutherford [J. Symplectic Geom. 19 (2021), no.
Pan, Yu, Rutherford, Dan
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In the article we present a general theory of augmented Lagrangian functions for cone constrained optimization problems that allows one to study almost all known augmented Lagrangians for cone constrained programs within a unified framework. We develop a
Dolgopolik, M. V.
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Separable approximations and decomposition methods for the augmented Lagrangian [PDF]
28 pages, 6 algorithms, 2 ...
Tappenden, Rachael +2 more
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A cross-layer network optimization problem is considered. It involves network and transport layers, treating both routing and flows as decision variables.
Andrzej Karbowski
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A Modified Augmented Lagrange Multiplier Method for Non-Linear Programming [PDF]
In this paper, we have investigated a new algorithm which employs an Augmented Lagrangian Method (ALM). It overcomes many of the difficulties associated with the Penalty function method. The new incorporate algorithm has been proved very effective with
Abbas Al-Bayati, Eman Hamed
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We study distributed optimization in networked systems, where nodes cooperate to find the optimal quantity of common interest, x=x^\star. The objective function of the corresponding optimization problem is the sum of private (known only by a node ...
Jakovetic, Dusan +2 more
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Bayesian augmented Lagrangian algorithm for system identification [PDF]
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Xiaoquan Tang +2 more
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A local saddle point for the hyperbolic augmented Lagrangian function
In this paper, we study the hyperbolic augmented Lagrangian function, which is based on the hyperbolic penalty function. We ensure the existence of a local saddle point for the hyperbolic augmented Lagrangian function in nonconvex constrained ...
Lennin Mallma Ramirez +3 more
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Exact augmented Lagrangian functions for nonlinear semidefinite programming
In this paper, we study augmented Lagrangian functions for nonlinear semidefinite programming (NSDP) problems with exactness properties. The term exact is used in the sense that the penalty parameter can be taken appropriately, so a single minimization ...
Fukuda, Ellen H., Lourenço, Bruno F.
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