SIMPSON’S THREE-EIGHTHS APPROACH FOR COMPUTING SOLUTIONS OF ABSOLUTE VALUE EQUATIONS NUMERICALLY

In this study, we propose a two-step iterative procedure for solving absolute value equations. The method includes Simpson's Three-Eighths formula with five points as a corrector step and generalized Newton's approach as a predictor step. For solving large systems, this method is very effective because it is very simple. Moreover, we show the convergence analysis under certain conditions using different theorems. We conducted numerical experiments to examine the efficiency of the presented technique.