New Sequential Optimality Conditions for Mathematical Programs with Complementarity Constraints and Algorithmic Consequences
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Publication:5206944
DOI10.1137/18M121040XzbMath1427.90258OpenAlexW2994979367WikidataQ126559127 ScholiaQ126559127MaRDI QIDQ5206944
Gabriel Haeser, L. D. Secchin, Paulo J. S. Silva, Roberto Andreani
Publication date: 19 December 2019
Published in: SIAM Journal on Optimization (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1137/18m121040x
constraint qualificationsequential optimality conditionsmathematical programs with complementarity constraintsminimization algorithms
Numerical mathematical programming methods (65K05) Nonlinear programming (90C30) Optimality conditions and duality in mathematical programming (90C46) Complementarity and equilibrium problems and variational inequalities (finite dimensions) (aspects of mathematical programming) (90C33)
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Cites Work
- Unnamed Item
- Second-order optimality conditions for mathematical programs with equilibrium constraints
- Constraint qualifications for mathematical programs with equilibrium constraints and their local preservation property
- Enhanced Karush-Kuhn-Tucker conditions for mathematical programs with equilibrium constraints
- A relaxed constant positive linear dependence constraint qualification and applications
- Elastic-mode algorithms for mathematical programs with equilibrium constraints: global convergence and stationarity properties
- A practical optimality condition without constraint qualifications for nonlinear programming
- A second-order optimality condition with first- and second-order complementarity associated with global convergence of algorithms
- On the relation between constant positive linear dependence condition and quasinormality constraint qualification
- Theoretical and numerical comparison of relaxation methods for mathematical programs with complementarity constraints
- Notes on some constraint qualifications for mathematical programs with equilibrium constraints
- Sequential equality-constrained optimization for nonlinear programming
- Mathematical Programs with Complementarity Constraints: Stationarity, Optimality, and Sensitivity
- A New Sequential Optimality Condition for Constrained Optimization and Algorithmic Consequences
- A Cone-Continuity Constraint Qualification and Algorithmic Consequences
- On the Guignard constraint qualification for mathematical programs with equilibrium constraints
- On Augmented Lagrangian Methods with General Lower-Level Constraints
- Variational Analysis
- A Sequential Optimality Condition Related to the Quasi-normality Constraint Qualification and Its Algorithmic Consequences
- Solving mathematical programs with complementarity constraints as nonlinear programs
- A second-order sequential optimality condition associated to the convergence of optimization algorithms
- Convergence Properties of a Second Order Augmented Lagrangian Method for Mathematical Programs with Complementarity Constraints
- Annotated Bibliography on Bilevel Programming and Mathematical Programs with Equilibrium Constraints
- 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
- 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
- On Using the Elastic Mode in Nonlinear Programming Approaches to Mathematical Programs with Complementarity Constraints
- Global Convergence of an Elastic Mode Approach for a Class of Mathematical Programs with Complementarity Constraints
- Interior Methods for Mathematical Programs with Complementarity Constraints
- Practical Augmented Lagrangian Methods for Constrained Optimization
- Mathematical programs with equilibrium constraints: a sequential optimality condition, new constraint qualifications and algorithmic consequences
- On sequential optimality conditions for smooth constrained optimization
- Mathematical Programs with Equilibrium Constraints
