Extension of Quasi-Newton Methods to Mathematical Programs with Complementarity Constraints
Computational Optimization and Applications
A Smoothing Method for a Mathematical Program with P-Matrix Linear Complementarity Constraints
Computational Optimization and Applications
An entropic regularization approach for mathematical programs with equilibrium constraints
Computers and Operations Research
Computational Optimization and Applications
Interior-Point Algorithms, Penalty Methods and Equilibrium Problems
Computational Optimization and Applications
Solving stochastic mathematical programs with complementarity constraints using simulation
WSC '04 Proceedings of the 36th conference on Winter simulation
Newton-Type method for a class of mathematical programs with complementarity constraints
Computers & Mathematics with Applications
Solving Stochastic Mathematical Programs with Complementarity Constraints Using Simulation
Mathematics of Operations Research
Constraint Qualifications and KKT Conditions for Bilevel Programming Problems
Mathematics of Operations Research
Steering exact penalty methods for nonlinear programming
Optimization Methods & Software - Dedicated to Professor Michael J.D. Powell on the occasion of his 70th birthday
Classification model selection via bilevel programming
Optimization Methods & Software - Mathematical programming in data mining and machine learning
Computational Optimization and Applications
A Comparison of Electricity Market Designs in Networks
Operations Research
A Complementarity Constraint Formulation of Convex Multiobjective Optimization Problems
INFORMS Journal on Computing
SIAM Journal on Control and Optimization
On Stability of the Feasible Set of a Mathematical Problem with Complementarity Problems
SIAM Journal on Optimization
SIAM Journal on Optimization
A New Relaxation Scheme for Mathematical Programs with Equilibrium Constraints
SIAM Journal on Optimization
Necessary Optimality Conditions for Multiobjective Bilevel Programs
Mathematics of Operations Research
Combining the regularization strategy and the SQP to solve MPCC - A MATLAB implementation
Journal of Computational and Applied Mathematics
The C-Index: A New Stability Concept for Quadratic Programs with Complementarity Constraints
Mathematics of Operations Research
A smooth penalty approach and a nonlinear multigrid algorithm for elliptic MPECs
Computational Optimization and Applications
Optimality Conditions via Exact Penalty Functions
SIAM Journal on Optimization
Computational Optimization and Applications
A general MPCC model and its solution algorithm for continuous network design problem
Mathematical and Computer Modelling: An International Journal
Analysis on the forward market equilibrium model
Operations Research Letters
On linear programs with linear complementarity constraints
Journal of Global Optimization
An $\ell_1$ Elastic Interior-Point Method for Mathematical Programs with Complementarity Constraints
SIAM Journal on Optimization
SIAM Journal on Control and Optimization
A lifting method for generalized semi-infinite programs based on lower level Wolfe duality
Computational Optimization and Applications
A laminate parametrization technique for discrete ply-angle problems with manufacturing constraints
Structural and Multidisciplinary Optimization
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We study mathematical programs with complementarity constraints. Several stationarity concepts, based on a piecewise smooth formulation, are presented and compared. The concepts are related to stationarity conditions for certain smooth programs as well as to stationarity concepts for a nonsmooth exact penalty function. Further, we present Fiacco-McCormick type second order optimality conditions and an extension of the stability results of Robinson and Kojima to mathematical programs with complementarity constraints.