An example comparing the standard and safeguarded augmented Lagrangian methods
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Publication:1728363
DOI10.1016/j.orl.2017.09.005zbMath1409.90186OpenAlexW2757525832MaRDI QIDQ1728363
Christian Kanzow, Daniel Steck
Publication date: 22 February 2019
Published in: Operations Research Letters (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.orl.2017.09.005
global convergencenonlinear programmingcounterexampleaugmented Lagrangian methodmultiplier safeguarding
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Cites Work
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- Augmented Lagrangian and exact penalty methods for quasi-variational inequalities
- Global minimization using an augmented Lagrangian method with variable lower-level constraints
- Optimality properties of an augmented Lagrangian method on infeasible problems
- Quasi-variational inequalities, generalized Nash equilibria, and multi-leader-follower games
- Augmented Lagrangian methods under the constant positive linear dependence constraint qualification
- Numerical comparison of augmented Lagrangian algorithms for nonconvex problems
- Multiplier and gradient methods
- Augmented Lagrangian Methods for the Solution of Generalized Nash Equilibrium Problems
- A Globally Convergent Augmented Lagrangian Algorithm for Optimization with General Constraints and Simple Bounds
- On Augmented Lagrangian Methods with General Lower-Level Constraints
- Numerical Optimization
- Two New Weak Constraint Qualifications and Applications
- Practical Augmented Lagrangian Methods for Constrained Optimization
- Augmented Lagrange Multiplier Functions and Duality in Nonconvex Programming