Mathematical Programming: Series A and B
Convergence analysis of some algorithms for solving nonsmooth equations
Mathematics of Operations Research
A non-interior-point continuation method for linear complementarity problems
SIAM Journal on Matrix Analysis and Applications
A nonsmooth Newton method for variational inequalities, II: numerical results
Mathematical Programming: Series A and B
Some Noninterior Continuation Methods for LinearComplementarity Problems
SIAM Journal on Matrix Analysis and Applications
Superlinear convergence of smoothing quasi-Newton methods for nonsmooth equations
Journal of Computational and Applied Mathematics
A New Nonsmooth Equations Approach to Nonlinear Complementarity Problems
SIAM Journal on Control and Optimization
A continuation method for (strongly) monotone variational inequalities
Mathematical Programming: Series A and B
Smooth Approximations to Nonlinear Complementarity Problems
SIAM Journal on Optimization
Jacobian Smoothing Methods for Nonlinear Complementarity Problems
SIAM Journal on Optimization
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The mixed complementarity problem can be reformulated as a nonsmooth equation by using the median operator. In this paper, we propose a new smoothing Broyden-like method for the solution of the mixed complementarity problem by constructing a new smoothing approximation function. Global and local superlinear convergence results of the algorithm are obtained under suitable conditions.