A new two-step iterative method for solving absolute value equations

Abstract

Abstract We describe a new two-step iterative method for solving the absolute value equations Ax−|x|=b $Ax-|x|=b$, which is an NP-hard problem. This method is globally convergent under suitable assumptions. Numerical examples are given to demonstrate the effectiveness of the method.

Keywords

• Absolute value equations
• Iterative method
• Global convergence