An inertial inverse-free dynamical system for solving absolute value equations

Abstract

A novel inertial inverse-free dynamical system is proposed to solve the absolute value equation (AVE). Under mild conditions, the proposed model has a unique solution and its solution trajectories asymptotically converge to the solution of the AVE. Compared with the existing dynamical systems, the presence of the inertial term allows the new model to be more convenient for exploring different solutions of the AVE. Numerical results illustrate the effectiveness of the presented method.