An Efficient Neural Network Model for Solving the Absolute Value Equations

In this brief, we obtain the exact solution of the absolute value equation (AVE). To the best of our knowledge, there is no attempt to obtain the exact solution to this problem. However, there exist many numerical methods to get the approximation solution of the AVE. Here, we try to present a neural network model in order to find the solution of the AVE, analytically. Furthermore, the Lyapunov stability and the global convergence of the model are proved. Finally, the simulation results show the performance, the effectiveness, and the accuracy of the method.