  Salkuyeh proposed the Picard-HSS iteration method to solve the absolute value
equation (AVE), which is a class of non-differentiable NP-hard problem. To
further improve its performance, a nonlinear HSS-like iteration method is
proposed. Compared to that the Picard-HSS method is an inner-outer double-layer
iteration scheme, the HSS-like iteration is only a monolayer and the iteration
vector could be updated timely. Some numerical experiments are used to
demonstrate that the nonlinear HSS-like method is feasible, robust and
effective.
