A Three-Step Iterative Method for Solving Absolute Value Equations

Abstract EN

In this paper, we transform the problem of solving the absolute value equations (AVEs) Ax−x=b with singular values of A greater than 1 into the problem of finding the root of the system of nonlinear equation and propose a three-step algorithm for solving the system of nonlinear equation.

The proposed method has the global linear convergence and the local quadratic convergence.

Numerical examples show that this algorithm has high accuracy and fast convergence speed for solving the system of nonlinear equations.