On developing a stable and quadratic convergent method for solving absolute value equation

We modify the generalized Newton method, proposed by Mangasarian (2007), for solving NP-complete absolute value equation, so that it is numerically stable and has convergence order two. Moreover, the convergence conditions are weaker than already iterative methods, hence this method can be applied to a broad range of problems. Applicability of the proposed method is tested for various examples.