On Picard-SHSS iteration method for absolute value equation

Abstract

Picard-type methods are efficient methods for solving the absolute value equation Ax−|x|=b. To further improve the performance of Picard iteration method, a new inexact Picard iteration method, named Picard-SHSS iteration method, is proposed to solve the absolute value equation. The sufficient condition for the convergence of the proposed method for solving the absolute value equation is given. A numerical example is given to demonstrate the effectiveness of the new method.

Keywords

• absolute value equation
• picard method
• inexact picard method
• picard-shss method
• convergence