Two new generalized iteration methods for solving absolute value equations using M-matrix

Abstract

In this paper, we present two new generalized Gauss-Seidel iteration methods for solving absolute value equations Ax−|x|=b, where A is an M-matrix. Furthermore, we demonstrate their convergence under specific assumptions. Numerical tests indicate the efficiency of the suggested methods with suitable parameters.

Keywords

• absolute value equations
• convergence analysis
• m-matrix
• numerical tests