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A new algorithm for nonsmooth box-constrained minimization is introduced. The method is a smoothing nonmonotone Barzilai-Borwein (BB) gradient method. All iterates generated by this method are feasible. We apply this method to stochastic linear complementarity problems. Numerical results show that our method is promising

Smoothing Nonmonotone Barzilai-Borwein Gradient Method and Its Application to Stochastic Linear Complementarity Problems