| Presentation | 1996/5/24 The convergence rates of the SOR methods with alternative orderings Toshiki Takeuchi, |
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| PDF Download Page | PDF download Page Link |
| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | The SOR method for solving a linear system of equations arising from the discretization of partial differential equations is often used. The SOR method with alternative ordering is known as the method to suited to vector processors. In this paper, we show the SOR methods with some orderings change the convergence rates to compare with the SOR method with the usual ordering. We also investigate theoretically the optimal acceleration parameter and the optimal convergence rate of the SOR method with the alternative ordering for a model problem. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | SOR / convergence rate / ordering / multicolor method / difference method |
| Paper # | NLP96-1 |
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| Conference Information | |
| Committee | NLP |
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| Conference Date | 1996/5/24(1days) |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | |
| Topics (in Japanese) | (See Japanese page) |
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| Paper Information | |
| Registration To | Nonlinear Problems (NLP) |
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| Language | JPN |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | The convergence rates of the SOR methods with alternative orderings |
| Sub Title (in English) | |
| Keyword(1) | SOR |
| Keyword(2) | convergence rate |
| Keyword(3) | ordering |
| Keyword(4) | multicolor method |
| Keyword(5) | difference method |
| 1st Author's Name | Toshiki Takeuchi |
| 1st Author's Affiliation | Faculty of Engineering, The University of Tokushima() |
| Date | 1996/5/24 |
| Paper # | NLP96-1 |
| Volume (vol) | vol.96 |
| Number (no) | 72 |
| Page | pp.pp.- |
| #Pages | 4 |
| Date of Issue | |