On the behaviour of constrained optimization methods when Lagrange multipliers do not exist
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Publication:5746720
DOI10.1080/10556788.2013.841692zbMath1282.90170OpenAlexW2108698269MaRDI QIDQ5746720
L. T. Santos, Benar Fux Svaiter, José Mario Martínez, Roberto Andreani
Publication date: 7 February 2014
Published in: Optimization Methods and Software (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/10556788.2013.841692
Nonlinear programming (90C30) Optimality conditions and duality in mathematical programming (90C46) Methods of successive quadratic programming type (90C55)
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Cites Work
- Unnamed Item
- Stabilized SQP revisited
- Stopping rules and backward error analysis for bound-constrained optimization
- An interior point algorithm with inexact step computation in function space for state constrained optimal control
- A nonmonotone filter method for nonlinear optimization
- A relaxed constant positive linear dependence constraint qualification and applications
- A filter SQP algorithm without a feasibility restoration phase
- Nonlinear programming without a penalty function or a filter
- New theoretical results on recursive quadratic programming algorithms
- Superlinear convergence of a stabilized SQP method to a degenerate solution
- Extended convergence results for the method of multipliers for nonstrictly binding inequality constraints
- A practical optimality condition without constraint qualifications for nonlinear programming
- On the quadratic convergence of the Levenberg-Marquardt method without nonsingularity assumption
- On the relation between constant positive linear dependence condition and quasinormality constraint qualification
- An exact augmented Lagrangian function for nonlinear programming with two-sided con\-straints
- Interior-point methods for nonconvex nonlinear programming: Filter methods and merit functions
- A quasi-Newton strategy for the SSQP method for variational inequality and optimization problems
- Stabilized sequential quadratic programming for optimization and a stabilized Newton-type method for variational problems
- A null-space primal-dual interior-point algorithm for nonlinear optimization with nice convergence properties
- A truncated Newton method in an augmented Lagrangian framework for nonlinear programming
- Constrained optimization and image space analysis. Vol. 1: Separation of sets and optimality conditions
- On the implementation of an interior-point filter line-search algorithm for large-scale nonlinear programming
- An Augmented Lagrangian Function with Improved Exactness Properties
- Algorithm 896
- An exact penalty-Lagrangian approach for large-scale nonlinear programming
- A New Sequential Optimality Condition for Constrained Optimization and Algorithmic Consequences
- A Sequential Quadratic Programming Method Without A Penalty Function or a Filter for Nonlinear Equality Constrained Optimization
- Dynamic Control of Infeasibility in Equality Constrained Optimization
- On Augmented Lagrangian Methods with General Lower-Level Constraints
- Recursive quadratic programming methods based on the augmented lagrangian
- Numerical Optimization
- Trust Region Methods
- On the Constant Positive Linear Dependence Condition and Its Application to SQP Methods
- On the Global Convergence of a Filter--SQP Algorithm
- Modifying SQP for Degenerate Problems
- Global Convergence of a Trust-Region SQP-Filter Algorithm for General Nonlinear Programming
- Two New Weak Constraint Qualifications and Applications
- Interior point methods for large-scale nonlinear programming
- On sequential optimality conditions for smooth constrained optimization
