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
Nonmonotone stabilization methods for nonlinear equations
Journal of Optimization Theory and Applications
On the resolution of monotone complementarity problems
Computational Optimization and Applications
A switching-method for nonlinear systems
Journal of Computational and Applied Mathematics
A semismooth equation approach to the solution of nonlinear complementarity problems
Mathematical Programming: Series A and B
A New Nonsmooth Equations Approach to Nonlinear Complementarity Problems
SIAM Journal on Control and Optimization
Optimization: algorithms and consistent approximations
Optimization: algorithms and consistent approximations
A New Class of Semismooth Newton-Type Methods for Nonlinear Complementarity Problems
Computational Optimization and Applications
On the local convergence of quasi-Newton methods for nonlinear complementarity problems
Selected papers of the second Panamerican workshop on Applied and computational mathematics
Direct search methods: then and now
Journal of Computational and Applied Mathematics - Special issue on numerical analysis 2000 Vol. IV: optimization and nonlinear equations
Test Examples for Nonlinear Programming Codes
Test Examples for Nonlinear Programming Codes
A New Merit Function For Nonlinear Complementarity Problems And A Related Algorithm
SIAM Journal on Optimization
Global Newton-type methods and semismooth reformulations for NCP
Applied Numerical Mathematics
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In this paper, we present a hybrid method for the solution of a class of composite semismooth equations encountered frequently in applications. The method is obtained by combining a generalized finite-difference Newton method to an inexpensive direct search method. We prove that, under standard assumptions, the method is globally convergent with a local rate of convergence which is superlinear or quadratic. We report also several numerical results obtained applying the method to suitable reformulations of well-known nonlinear complementarity problems.