Two new generalized iteration methods for solving absolute value equations using $ M $-matrix
Rashid Ali, Ilyas Khan, Asad Ali, Abdullah Mohamed · AIMS Mathematics · 2022
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.