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Augmented Lagrangian method
Known as:
Alternating direction method of multipliers
Augmented Lagrangian methods are a certain class of algorithms for solving constrained optimization problems. They have similarities to penalty…
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Related topics
Related topics
24 relations
AMPL
Algorithm
Barrier function
Basis pursuit
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Papers overview
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Highly Cited
2018
Highly Cited
2018
An Augmented Lagrangian Method for Optimization Problems in Banach Spaces
C. Kanzow
,
D. Steck
,
D. Wachsmuth
SIAM Journal of Control and Optimization
2018
Corpus ID: 3881170
We propose a variant of the classical augmented Lagrangian method for constrained optimization problems in Banach spaces. Our…
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2017
2017
An Augmented Lagrangian Method for Non-Lipschitz Nonconvex Programming
Xiaojun Chen
,
Lei Guo
,
Zhaosong Lu
,
J. Ye
SIAM Journal on Numerical Analysis
2017
Corpus ID: 7766419
We consider a class of constrained optimization problems where the objective function is a sum of a smooth function and a…
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Highly Cited
2010
Highly Cited
2010
Global minimization using an Augmented Lagrangian method with variable lower-level constraints
E. Birgin
,
C. Floudas
,
J. Martínez
Mathematical programming
2010
Corpus ID: 6769954
A novel global optimization method based on an Augmented Lagrangian framework is introduced for continuous constrained nonlinear…
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Highly Cited
2008
Highly Cited
2008
Improving ultimate convergence of an augmented Lagrangian method
E. Birgin
,
J. Martínez
Optim. Methods Softw.
2008
Corpus ID: 5447732
Optimization methods that employ the classical Powell-Hestenes-Rockafellar augmented Lagrangian are useful tools for solving…
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Highly Cited
2007
Highly Cited
2007
Augmented Lagrangian methods under the constant positive linear dependence constraint qualification
R. Andreani
,
E. Birgin
,
J. Martínez
,
M. L. Schuverdt
Mathematical programming
2007
Corpus ID: 14291709
Two Augmented Lagrangian algorithms for solving KKT systems are introduced. The algorithms differ in the way in which penalty…
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Highly Cited
2003
Highly Cited
2003
Permeability Estimation with the Augmented Lagrangian Method for a Nonlinear Diffusion Equation
T. Nilssen
,
Trond Mannseth
,
Xue-Cheng Tai
2003
Corpus ID: 16496403
We consider numerical identification of the piecewise constant permeability function in a nonlinear parabolic equation, with the…
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Highly Cited
1996
Highly Cited
1996
Augmented lagrangian and mass-orthogonal projection methods for constrained multibody dynamics
E. Bayo
,
R. Ledesma
1996
Corpus ID: 37444435
This paper presents a new method for the integration of the equations of motion of constrained multibody systems in descriptor…
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Highly Cited
1994
Highly Cited
1994
An improved branch and bound algorithm for mixed integer nonlinear programs
Brian Borchers
,
John E. Mitchell
Computers & Operations Research
1994
Corpus ID: 264234644
Highly Cited
1990
Highly Cited
1990
The augmented lagrangian method for parameter estimation in elliptic systems
Kazufumi Ito
,
K. Kunisch
1990
Corpus ID: 120618133
In this paper a new technique for the estimation of parameters in elliptic partial differential equations is developed. It is a…
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Highly Cited
1977
Highly Cited
1977
Evolution equations possessing infinitely many symmetries
P. Olver
1977
Corpus ID: 121411599
A general method for finding evolution equations having infinitely many symmetries or flows which preserve them is described…
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