An augmented Lagrangian approach with a variable transformation in nonlinear programming
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Publication:944771
DOI10.1016/j.na.2007.07.048zbMath1152.90653OpenAlexW2010896564MaRDI QIDQ944771
Publication date: 10 September 2008
Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.na.2007.07.048
normal conedualitysubdifferentialtangent coneaugmented Lagrangiansubderivativeexact penalty representation
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Duality and exact penalization for general augmented Lagrangians, Existence of augmented Lagrange multipliers: reduction to exact penalty functions and localization principle
Cites Work
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- Enlarging the region of convergence of Newton's method for constrained optimization
- Characterizations of strict local minima and necessary conditions for weak sharp minima
- Error bounds in mathematical programming
- A Nonlinear Lagrangian Approach to Constrained Optimization Problems
- Lagrange Multipliers and Optimality
- Necessary and Sufficient Conditions for a Local Minimum. 3: Second Order Conditions and Augmented Duality
- Necessary and Sufficient Conditions for Isolated Local Minima of Nonsmooth Functions
- Variational Analysis
- Nonlinear Lagrangian for Multiobjective Optimization and Applications to Duality and Exact Penalization
- Decreasing Functions with Applications to Penalization
- Augmented Lagrange Multiplier Functions and Duality in Nonconvex Programming
- A Unified Augmented Lagrangian Approach to Duality and Exact Penalization