An efficient method for optimal correcting of absolute value equations by minimal changes in the right hand side

Our goal in this work is to give an optimum correction of the infeasible absolute value equations (AVE). In order to make the mentioned system feasible, we apply the minimal correction using the l2l2 norm by changing just the right hand vector. We will show that this problem can be formulated as an unconstrained optimization problem with a quadratic objective function. We propose an extension of Newton’s method for solving unconstrained objective optimization. Some examples are provided to illustrate the efficiency and validity of our proposed method.