In this paper, we propose a parametric uniform approxima- tion method to solve NP-hard absolute value equation. For this, we uni- formly approximate absolute value in such a way that the nonsmooth absolute value equation can be formulated as a smooth nonlinear equa- tion. By solving the parametric smooth nonlinear equation using Newton method, for a decreasing sequence of parameters, we can get the solu- tion of absolute value equation. It is proved that the method is globally convergent under some weaker conditions with respect to existing meth- ods. Moreover, preliminary numerical results indicate effectiveness and robustness of our method to solve absolute value equation.
