A note on the existence of saddle points ofp-th power Lagrangian for constrained nonconvex optimization
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Publication:3145048
DOI10.1080/02331934.2011.564620zbMath1282.90145OpenAlexW1970632586MaRDI QIDQ3145048
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Publication date: 13 December 2012
Published in: Optimization (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/02331934.2011.564620
saddle pointsconstrained nonconvex optimization\(p\)-th power Lagrangian functionscompactness and uniqueness
Nonconvex programming, global optimization (90C26) Optimality conditions and duality in mathematical programming (90C46)
Related Items (5)
Some results on augmented Lagrangians in constrained global optimization via image space analysis ⋮ Convergence analysis of modified \(p\)th power Lagrangian algorithms with alternative updating strategies for constrained nonconvex optimization ⋮ Nonlinear separation approach for the augmented Lagrangian in nonlinear semidefinite programming ⋮ On saddle points in semidefinite optimization via separation scheme ⋮ On the existence of saddle points for nonlinear second-order cone programming problems
Cites Work
- Separation approach for augmented lagrangians in Constrained nonconvex optimization
- Local saddle points and convexification for nonconvex optimization problems
- Convexification and existence of a saddle point in a \(p\)th-power reformulation for nonconvex constrained optimization.
- Zero duality gap for a class of nonconvex optimization problems
- Local convexification of the Lagrangian function in nonconvex optimization
- Lagrange Multipliers and Optimality
- Variational Analysis
- On Saddle Points of Augmented Lagrangians for Constrained Nonconvex Optimization
- Augmented Lagrange Multiplier Functions and Duality in Nonconvex Programming
- Existence of a saddle point in nonconvex constrained optimization.
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