Smoothing the absolute value equations by the component-wise analysis

In this study, an efficient smooth function is introduced to determine the solutions of Absolute Value Equations (AVEs) using a two-step extension of Traub's method. Additionally, a novel approach is proposed for solving AVEs in a component-wise manner. Cubic convergence is achieved under mild assumptions. The results demonstrate that the proposed method is highly effective, as validated by numerical examples.

کلیدواژه ها:

Absolute value equation ، Traub's method ، high order of convergence ، smooth functions