Global optimization approach to the linear complementarity problem
SIAM Journal on Scientific and Statistical Computing
Mathematical Programming: Series A and B
A nonsmooth version of Newton's method
Mathematical Programming: Series A and B
Convergence analysis of some algorithms for solving nonsmooth equations
Mathematics of Operations Research
NE/SQP: a robust algorithm for the nonlinear complementarity problem
Mathematical Programming: Series A and B
Solution of P0-matrix linear complementarity problems using a potential reduction algorithm
SIAM Journal on Matrix Analysis and Applications
A non-interior-point continuation method for linear complementarity problems
SIAM Journal on Matrix Analysis and Applications
On the resolution of monotone complementarity problems
Computational Optimization and Applications
Some Noninterior Continuation Methods for LinearComplementarity Problems
SIAM Journal on Matrix Analysis and Applications
Solution of monotone complementarity problems with locally Lipschitzian functions
Mathematical Programming: Series A and B - Special issue on computational nonsmooth optimization
A New Nonsmooth Equations Approach to Nonlinear Complementarity Problems
SIAM Journal on Control and Optimization
Mathematics of Operations Research
Beyond Monotonicity in Regularization Methods for Nonlinear Complementarity Problems
SIAM Journal on Control and Optimization
Improving the convergence of non-interior point algorithms for nonlinear complementarity problems
Mathematics of Computation
A smoothing Newton method for general nonlinear complementarity problems
Computational Optimization and Applications - Special issue on nonsmooth and smoothing methods
SIAM Journal on Optimization
Smooth Approximations to Nonlinear Complementarity Problems
SIAM Journal on Optimization
Global Newton-type methods and semismooth reformulations for NCP
Applied Numerical Mathematics
A new smoothing Broyden-like method for solving nonlinear complementarity problem with a P0-function
Journal of Global Optimization
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The nonlinear complementarity problem (denoted by NCP(F)) can be reformulated as the solution of a nonsmooth system of equations. In this paper, we propose a new smoothing and regularization Newton method for solving nonlinear complementarity problem with P 0-function (P 0-NCP). Without requiring strict complementarity assumption at the P 0-NCP solution, the proposed algorithm is proved to be convergent globally and superlinearly under suitable assumptions. Furthermore, the algorithm has local quadratic convergence under mild conditions. Numerical experiments indicate that the proposed method is quite effective. In addition, in this paper, the regularization parameter 驴 in our algorithm is viewed as an independent variable, hence, our algorithm seems to be simpler and more easily implemented compared to many previous methods.