摘要
In this paper,by constructing a new smoothing complementary function,we reformulate the nonlinear complementarity problem as a nonlinear smooth system of equations.Combining non-monotonic line search techniques with an inexact Broyden-like algorithm,we establish a nonmonotone inexact Broyden-like algorithm.The global and local quadratic convergence of this method is proved under suitable conditions.Numerical experiments show that the algorithm is effective for solving nonlinear complementarity problems.