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

DOI

10.2991/icadme-17.2017.84How to use a DOI?

Keywords

Preconditioned Gauss-Seidel iterative method; AOR iterative method; convergence .

Abstract

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.

Copyright

© 2017, the Authors. Published by Atlantis Press.

Open Access

This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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TY  - CONF
AU  - Shi-Guang Zhang
AU  - Ting Zhou
PY  - 2017/07
DA  - 2017/07
TI  - Comparison theorems between the preconditioned Gauss-Seidel method and the AOR method for M-matrices
BT  - Proceedings of the 2017 7th International Conference on Advanced Design and Manufacturing Engineering (ICADME 2017)
PB  - Atlantis Press
SP  - 446
EP  - 449
SN  - 2352-5401
UR  - https://doi.org/10.2991/icadme-17.2017.84
DO  - 10.2991/icadme-17.2017.84
ID  - Zhang2017/07
ER  -