On the convergence of parallel nonstationary multisplitting iteration methods
文献类型：期刊论文
| 作者 | Bai, ZZ
|
| 刊名 | JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
 |
| 出版日期 | 2003-10-01 |
| 卷号 | 159期号:1页码:1-11 |
| 关键词 | system of linear equations matrix multisplitting nonstationary iteration convergence |
| ISSN号 | 0377-0427 |
| DOI | 10.1016/S0377-0427(03)00555-7 |
| 英文摘要 | The convergence properties of a variant of the parallel chaotic multisplitting iteration method, called the nonstationary multisplitting iteration method, for solving large sparse systems of linear equations are further discussed when the coefficient matrix is an H-matrix or a positive definite matrix, respectively. Moreover, when the coefficient matrix is a monotone matrix, the monotone convergence theory and the monotone comparison theorem about this method are established. This directly leads to several novel sufficient conditions for guaranteeing the convergence of this parallel nonstationary multisplitting iteration method. (C) 2003 Elsevier B.V. All rights reserved. |
| 语种 | 英语 |
| WOS记录号 | WOS:000186544700002 |
| 出版者 | ELSEVIER SCIENCE BV |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/18094]  |
| 专题 | 计算数学与科学工程计算研究所 |
| 通讯作者 | Bai, ZZ |
| 作者单位 | Chinese Acad Sci, Acad Math & Syst 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 | Bai, ZZ. On the convergence of parallel nonstationary multisplitting iteration methods[J]. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS,2003,159(1):1-11. |
| APA | Bai, ZZ.(2003).On the convergence of parallel nonstationary multisplitting iteration methods.JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS,159(1),1-11. |
| MLA | Bai, ZZ."On the convergence of parallel nonstationary multisplitting iteration methods".JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS 159.1(2003):1-11. |
入库方式： OAI收割
来源：数学与系统科学研究院
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