Proceedings of the 2017 7th International Conference on Advanced Design and Manufacturing Engineering (ICADME 2017)

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

Authors
Shi-Guang Zhang, Ting Zhou
Corresponding Author
Shi-Guang Zhang
Available Online July 2017.
DOI
https://doi.org/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.
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This is an open access article distributed under the CC BY-NC license.

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Cite this article

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  - https://doi.org/10.2991/icadme-17.2017.84
ID  - Zhang2017/07
ER  -