Blockwise matrix multi-splitting multi-parameter block relaxation methods
文献类型：期刊论文
| 作者 | Evans, DJ; Bai, ZZ |
| 刊名 | INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS
 |
| 出版日期 | 1997 |
| 卷号 | 64期号:1-2页码:103-118 |
| 关键词 | block system of linear equations blockwise matrix multisplitting relaxation parallel method convergence block H-matrix |
| ISSN号 | 0020-7160 |
| 英文摘要 | In this paper, a class of parallel blockwise matrix multisplitting block relaxation methods, including the blockwise matrix multisplitting block symmetric accelerated overrelaxation method, the blockwise matrix multisplitting block unsymmetric and symmetric successive overrelaxation methods and the blockwise matrix multisplitting block unsymmetric and symmetric Gauss-Seidel methods, etc., is established for the large sparse block system of linear equations, and its convergence theory is set up thorouthly when the coefficient matrix is a block H-matrix. Also, the new methods are further extended by relaxing different block elements of the iterations with different relaxation parameters and, therefore, general frameworks of parallel blockwise matrix multisplitting block relaxation methods for solving the block system of linear equations are naturally obtained. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:A1997XH37400008 |
| 出版者 | GORDON BREACH SCI PUBL LTD |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/29030]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Evans, DJ |
| 作者单位 | CHINESE ACAD SCI,INST COMPUTAT MATH & SCI ENGN COMP,STATE KEY LAB SCI ENGN COMP,BEIJING 100080,PEOPLES R CHINA |
| 推荐引用方式 GB/T 7714 | Evans, DJ,Bai, ZZ. Blockwise matrix multi-splitting multi-parameter block relaxation methods[J]. INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS,1997,64(1-2):103-118. |
| APA | Evans, DJ,&Bai, ZZ.(1997).Blockwise matrix multi-splitting multi-parameter block relaxation methods.INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS,64(1-2),103-118. |
| MLA | Evans, DJ,et al."Blockwise matrix multi-splitting multi-parameter block relaxation methods".INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS 64.1-2(1997):103-118. |
入库方式： OAI收割
来源：数学与系统科学研究院
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