| Title:
|
Convergence of the accelerated overrelaxation method (English) |
| Author:
|
Herceg, Dragoslav |
| Author:
|
Cvetković, Ljiljana |
| Language:
|
English |
| Journal:
|
Aplikace matematiky |
| ISSN:
|
0373-6725 |
| Volume:
|
34 |
| Issue:
|
6 |
| Year:
|
1989 |
| Pages:
|
475-479 |
| Summary lang:
|
English |
| Summary lang:
|
Russian |
| Summary lang:
|
Czech |
| . |
| Category:
|
math |
| . |
| Summary:
|
The convergence of the Accelerated Overrelaxation (AOR) method is discussed. It is shown that the intervals of convergence for the parameters $\sigma$ and $\omega$ are not always of the following form: $0\leq \omega \leq \omega_1, -\sigma_1\leq\sigma\leq\sigma_2, \sigma_1, \sigma_2\geq 0$. (English) |
| Keyword:
|
accelerated overrelaxation method |
| Keyword:
|
AOR method |
| Keyword:
|
successive overrelaxation |
| Keyword:
|
rate of convergence |
| Keyword:
|
relaxation parameter |
| Keyword:
|
interval of convergence |
| Keyword:
|
iterative process |
| MSC:
|
65F10 |
| idZBL:
|
Zbl 0697.65020 |
| idMR:
|
MR1026512 |
| DOI:
|
10.21136/AM.1989.104378 |
| . |
| Date available:
|
2008-05-20T18:38:02Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/104378 |
| . |
| Reference:
|
[1] G. Avdelas A. Hadjidimos: Some theoretical and computational results concerning the accelerated overrelaxation (AOR) method.Anal. Numer. Theor. Approx. 9 (1980), 5-10. MR 0617249 |
| Reference:
|
[2] Lj. Cvetkovič D. Herceg: Some sufficient conditions for convergence AOR-method.In: Numerical Methods and Approximation Theory, G. V. Milovanič, ed., Faculty of Electronic Engineering, Niš, 1984, 143-148. MR 0805793 |
| Reference:
|
[3] Lj. Cvetkovič D. Herceg: Convergence theory for AOR method.Journal of Computational Mathematics (in print). |
| Reference:
|
[4] Lj. Cvetkovič D. Herceg: An improvement for the area of convergence of the AOR method.Anal. Numer. Theor. Approx. 16 (1987), 109-115. MR 0986095 |
| Reference:
|
[5] A. Hadjidimos: Accelerated overrelaxation method.Math. Соmр. 32 (1978), 149-157. Zbl 0382.65015, MR 0483340 |
| Reference:
|
[6] S. Hague: Convergence of the successive overrelaxation method.IMA J. Numer. Anal. 7 (1987), 307-311. MR 0968526, 10.1093/imanum/7.3.307 |
| Reference:
|
[7] M. Martins: An improvement for the area of convergence of the accelerated overrelaxation iterative method.Anal. Numer. Theor. Approx. 12 (1983), 65 - 76. Zbl 0527.65023, MR 0743917 |
| . |
