Augmented Lagrangians quadratic growth and second-order sufficient optimality conditions

DOI10.1080/02331934.2020.1804567zbMath1486.90206OpenAlexW3080339716MaRDI QIDQ5034929

Damián Fernández

Publication date: 21 February 2022

Published in: Optimization (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/11336/143331

zbMATH Keywords

augmented Lagrangiansecond-order sufficient optimality conditionsharp augmented Lagrangianweak second-order sufficient optimality condition

Mathematics Subject Classification ID

Numerical mathematical programming methods (65K05) Nonlinear programming (90C30) Optimality conditions and duality in mathematical programming (90C46)

Uses Software

• ALGENCAN

Cites Work

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• On Augmented Lagrangian Methods with General Lower-Level Constraints
• Generalized equations and their solutions, part II: Applications to nonlinear programming
• First Order Conditions for General Nonlinear Optimization
• Variational Analysis
• Second Order Optimality Conditions Based on Parabolic Second Order Tangent Sets
• 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
• Practical Augmented Lagrangian Methods for Constrained Optimization

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