New generalized Gauss–Seidel iteration methods for solving absolute value equations
Rashid Ali, Kejia Pan · Mathematical Methods in the Applied Sciences · 2023
The Gauss–Seidel iteration method is an effective technique for solving absolute value equations (AVEs). However, this method is often inefficient and cannot be used when the problem size increases. This study presents two generalized Gauss–Seidel iteration methods for solving AVEs to improve the performance of the Gauss–Seidel method. Convergence of the new methods is established under some appropriate conditions. Lastly, we show the effectiveness of the new methods through several numerical examples.