Convergence properties of a smoothing approach for mathematical programs with second-order cone complementarity constraints
From MaRDI portal
Publication:763335
DOI10.1007/s11228-011-0190-zzbMath1261.90058OpenAlexW2056424572MaRDI QIDQ763335
Yi Zhang, Jia Wu, Li-wei Zhang
Publication date: 9 March 2012
Published in: Set-Valued and Variational Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11228-011-0190-z
smoothing approximationC-stationary pointM-stationary pointB-stationary pointmathematical program with second-order cone complementarity constraintS-stationary point
Nonlinear programming (90C30) Complementarity and equilibrium problems and variational inequalities (finite dimensions) (aspects of mathematical programming) (90C33)
Related Items
A penalty method for rank minimization problems in symmetric matrices ⋮ First-Order Optimality Conditions for Mathematical Programs with Second-Order Cone Complementarity Constraints ⋮ The models of bilevel programming with lower level second-order cone programs ⋮ Regular and limiting normal cones to the graph of the subdifferential mapping of the nuclear norm ⋮ Mathematical programs with second-order cone complementarity constraints: strong stationarity and approximation method ⋮ New constraint qualifications for mathematical programs with second-order cone complementarity constraints ⋮ Necessary optimality conditions for mathematical programs with second-order cone complementarity constraints ⋮ On the convergence properties of a smoothing approach for mathematical programs with symmetric cone complementarity constraints ⋮ Convergence analysis of a smoothing SAA method for a stochastic mathematical program with second-order cone complementarity constraints ⋮ On the coderivative of the solution mapping to a second-order cone constrained parametric variational inequality ⋮ Two approaches for solving mathematical programs with second-order cone complementarity constraints ⋮ First order necessary optimality conditions for mathematical programs with second-order cone complementarity constraints ⋮ A perturbation approach for an inverse quadratic programming problem over second-order cones ⋮ Second order sufficient conditions for a class of bilevel programs with lower level second-order cone programming problem ⋮ Scaled constraint qualifications and necessary optimality conditions for nonsmooth mathematical programs with second-order cone complementarity constraints
Cites Work
- Unnamed Item
- Necessary and sufficient optimality conditions for mathematical programs with equilibrium constraints
- The \(SC^1\) property of the squared norm of the SOC Fischer-Burmeister function
- On the coderivative of the projection operator onto the second-order cone
- A smoothing method for mathematical programs with equilibrium constraints
- A globally convergent sequential quadratic programming algorithm for mathematical programs with linear complementarity constraints
- Some exact penalty results for nonlinear programs and mathematical programs with equilibrium constraints
- A smoothing method for a mathematical program with P-matrix linear complementarity constraints
- Foundations of bilevel programming
- A modified relaxation scheme for mathematical programs with complementarity constraints
- Exact penalization and stationarity conditions of mathematical programs with equilibrium constraints
- Convergence Properties of a Regularization Scheme for Mathematical Programs with Complementarity Constraints
- Mathematical Programs with Complementarity Constraints: Stationarity, Optimality, and Sensitivity
- Smoothing Functions for Second-Order-Cone Complementarity Problems
- Smoothing method for mathematical programs with symmetric cone complementarity constraints
- Coderivative Analysis of Quasi‐variational Inequalities with Applications to Stability and Optimization
- Optimization and nonsmooth analysis
- Exact Penalization of Mathematical Programs with Equilibrium Constraints
- Smooth SQP Methods for Mathematical Programs with Nonlinear Complementarity Constraints
- Optimality Conditions for a Class of Mathematical Programs with Equilibrium Constraints
- Local Convergence of SQP Methods for Mathematical Programs with Equilibrium Constraints
