On the best achievable quality of limit points of augmented Lagrangian schemes
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Publication:2138411
DOI10.1007/s11075-021-01212-8zbMath1495.65075OpenAlexW3210907476MaRDI QIDQ2138411
L. D. Secchin, Leonardo M. Mito, Gabriel Haeser, Alberto Ramos, Roberto Andreani
Publication date: 11 May 2022
Published in: Numerical Algorithms (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11075-021-01212-8
Numerical mathematical programming methods (65K05) Nonlinear programming (90C30) Optimality conditions and duality in mathematical programming (90C46)
Related Items (4)
A new Lagrangian-based first-order method for nonconvex constrained optimization ⋮ Constrained composite optimization and augmented Lagrangian methods ⋮ Weak notions of nondegeneracy in nonlinear semidefinite programming ⋮ On the fulfillment of the complementary approximate Karush-Kuhn-Tucker conditions and algorithmic applications
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Cites Work
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- Newton's method may fail to recognize proximity to optimal points in constrained optimization
- Augmented Lagrangian method with nonmonotone penalty parameters for constrained optimization
- An adaptive augmented Lagrangian method for large-scale constrained optimization
- A relaxed constant positive linear dependence constraint qualification and applications
- A practical optimality condition without constraint qualifications for nonlinear programming
- An approximate strong KKT condition for multiobjective optimization
- An example comparing the standard and safeguarded augmented Lagrangian methods
- Pseudonormality and a Lagrange multiplier theory for constrained optimization
- Inexact-restoration algorithm for constrained optimization
- Sequential optimality conditions for cardinality-constrained optimization problems with applications
- On scaled stopping criteria for a safeguarded augmented Lagrangian method with theoretical guarantees
- An augmented Lagrangian method for quasi-equilibrium problems
- Optimality conditions and global convergence for nonlinear semidefinite programming
- Numerical comparison of augmented Lagrangian algorithms for nonconvex problems
- The Fritz John necessary optimality conditions in the presence of equality and inequality constraints
- Multiplier and gradient methods
- The multiplier method of Hestenes and Powell applied to convex programming
- Local Convergence of Exact and Inexact Augmented Lagrangian Methods under the Second-Order Sufficient Optimality Condition
- A New Sequential Optimality Condition for Constrained Optimization and Algorithmic Consequences
- On relaxed constant rank regularity condition in mathematical programming
- Directional derivative of the marginal function in nonlinear programming
- A Cone-Continuity Constraint Qualification and Algorithmic Consequences
- On Augmented Lagrangian Methods with General Lower-Level Constraints
- Multiplier methods for engineering optimization
- On the Constant Positive Linear Dependence Condition and Its Application to SQP Methods
- A Sequential Optimality Condition Related to the Quasi-normality Constraint Qualification and Its Algorithmic Consequences
- Optimality Conditions and Constraint Qualifications for Generalized Nash Equilibrium Problems and Their Practical Implications
- Erratum “A second-order sequential optimality condition associated to the convergence of optimization algorithms”
- Two New Weak Constraint Qualifications and Applications
- Global Convergence of Augmented Lagrangian Methods Applied to Optimization Problems with Degenerate Constraints, Including Problems with Complementarity Constraints
- A Shifted Primal-Dual Penalty-Barrier Method for Nonlinear Optimization
- New Sequential Optimality Conditions for Mathematical Programs with Complementarity Constraints and Algorithmic Consequences
- Strict Constraint Qualifications and Sequential Optimality Conditions for Constrained Optimization
- The Price of Inexactness: Convergence Properties of Relaxation Methods for Mathematical Programs with Complementarity Constraints Revisited
- Practical Augmented Lagrangian Methods for Constrained Optimization
- Generalized Kuhn–Tucker Conditions for Mathematical Programming Problems in a Banach Space
- Augmented Lagrange Multiplier Functions and Duality in Nonconvex Programming
- On sequential optimality conditions for smooth constrained optimization
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