An inexact fixed point iteration method for solving absolute value equation

Abstract

The fixed point iteration method is an effective method for solving absolute value equation via equivalent two-by-two block form. To further improve the computational efficiency of the fixed point iteration method, by using the preconditioned shift-splitting strategy, we propose an inexact fixed point iteration method for solving absolute value equation in this paper. We obtain some convergence conditions for the proposed method. The effectiveness of the proposed method are shown by three examples.