The models of bilevel programming with lower level second-order cone programs
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Publication:2405621
DOI10.1186/1029-242X-2014-168zbMath1372.90103WikidataQ59323975 ScholiaQ59323975MaRDI QIDQ2405621
Xiaoni Chi, Zijun Hao, Zhong-Ping Wan
Publication date: 26 September 2017
Published in: Journal of Inequalities and Applications (Search for Journal in Brave)
optimality conditionsnonconvexfeasible setnondifferentiablebilevel programming with lower level second-order cone program
Related Items (4)
Some P-properties of the quadratic representations and automorphism invariance in Euclidean Jordan algebras ⋮ MPEC Methods for Bilevel Optimization Problems ⋮ Bilevel Optimization: Theory, Algorithms, Applications and a Bibliography ⋮ Second order sufficient conditions for a class of bilevel programs with lower level second-order cone programming problem
Cites Work
- Unnamed Item
- A smoothing and regularization predictor-corrector method for nonlinear inequalities
- First order optimality conditions for mathematical programs with semidefinite cone complementarity constraints
- Is bilevel programming a special case of a mathematical program with complementarity constraints?
- Generalized stationary points and an interior-point method for mathematical programs with equilibrium constraints.
- Some P-properties for linear transformations on Euclidean Jordan algebras
- A new one-step smoothing Newton method for second-order cone programming.
- A new class of smoothing complementarity functions over symmetric cones
- Convergence properties of a smoothing approach for mathematical programs with second-order cone complementarity constraints
- Convergence analysis of the augmented Lagrangian method for nonlinear second-order cone optimization problems
- On the coderivative of the projection operator onto the second-order cone
- Second-order cone programming
- Foundations of bilevel programming
- A new full Nesterov-Todd step primal-dual path-following interior-point algorithm for symmetric optimization
- A smoothing Newton method for mathematical programs governed by second-order cone constrained generalized equations
- Smoothing method for mathematical programs with symmetric cone complementarity constraints
- A new one-step smoothing newton method for the second-order cone complementarity problem
- Variational Analysis
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