Comparison theorems between the preconditioned Gauss-Seidel method and the AOR method for M-matrices

Shi-Guang Zhang, Ting Zhou
2017 Proceedings of the 2017 7th International Conference on Advanced Design and Manufacturing Engineering (ICADME 2017)   unpublished
In this paper, we study a preconditioned Gauss-Seidel iterative method with the preconditioner which proposed in [1] for solving a linear system whose coefficient matrix is a M-matrix. Some corresponding comparison results between the preconditioned Gauss-Seidel iterative method and the basic AOR iterative method are obtained. Finally, a numerical example is given to illustrate our results.
doi:10.2991/icadme-17.2017.84 fatcat:h4x6zxfzbrayxca7ljdb75cz2e