A class of asynchronous parallel multisplitting blockwise relaxation methods
文献类型：期刊论文
| 作者 | Bai, ZZ |
| 刊名 | PARALLEL COMPUTING
 |
| 出版日期 | 1999-06-01 |
| 卷号 | 25期号:6页码:681-701 |
| 关键词 | blocked system of linear equations block matrix multisplitting blockwise relaxation asynchronous parallel method convergence theory block H-matrix |
| ISSN号 | 0167-8191 |
| 英文摘要 | By the principle of using sufficiently the delayed information and based on the technique of successively accelerated overrelaxation (AOR), we set up a class of asynchronous multisplitting blockwise relaxation methods for solving the large sparse blocked system of linear equations, which comes from the discretizations of many differential equations. These new methods are efficient blockwise variants of the asynchronous parallel matrix multisplitting relaxed iterations discussed by Bai et al. (Parallel Computing 21 (1995) 565-582), and they are very smart for implementations on the MIMD multiprocessor systems. Under reasonable restrictions on the relaxation parameters as well as the multiple splittings, we establish the convergence theories of this class of new methods when the coefficient matrices of the blocked systems of linear equations are block H-matrices of different types. A lot of numerical experiments show that our new methods are applicable and efficient, and have better numerical behaviours than their pointwise alternatives investigated by Bai et al. (C) 1999 Elsevier Science B.V. All rights reserved. |
| 语种 | 英语 |
| WOS记录号 | WOS:000081952200003 |
| 出版者 | ELSEVIER SCIENCE BV |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/14576]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Bai, ZZ |
| 作者单位 | Chinese Acad Sci, State Key Lab Sci Engn Comp, Inst Computat Math & Sci Engn Comp, Beijing 100080, Peoples R China |
| 推荐引用方式 GB/T 7714 | Bai, ZZ. A class of asynchronous parallel multisplitting blockwise relaxation methods[J]. PARALLEL COMPUTING,1999,25(6):681-701. |
| APA | Bai, ZZ.(1999).A class of asynchronous parallel multisplitting blockwise relaxation methods.PARALLEL COMPUTING,25(6),681-701. |
| MLA | Bai, ZZ."A class of asynchronous parallel multisplitting blockwise relaxation methods".PARALLEL COMPUTING 25.6(1999):681-701. |
入库方式： OAI收割
来源：数学与系统科学研究院
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