A class of asynchronous multisplitting two-stage iterations for large sparse block systems of weakly nonlinear equations
文献类型：期刊论文
| 作者 | Bai, ZZ; Evans, DJ; Calinescu, RC |
| 刊名 | JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
 |
| 出版日期 | 1999-10-30 |
| 卷号 | 110期号:2页码:271-286 |
| 关键词 | block system of weakly nonlinear equations matrix multisplitting block two-stage iteration asynchronous parallel method block H-matrix convergence theory |
| ISSN号 | 0377-0427 |
| 英文摘要 | For the block system of weakly nonlinear equations Ax = G(x), where A epsilon R-nxn is a large sparse block matrix and G : R-n --> R-n is a block nonlinear mapping having certain smoothness properties, we present a class of asynchronous parallel multisplitting block two-stage iteration methods in this paper. These methods are actually the block variants and generalizations of the asynchronous multisplitting two-stage iteration methods studied by Bai and Huang (Journal of Computational and Applied Mathematics 93(1) (1998) 13-33), and they can achieve high parallel efficiency of the multiprocessor system, especially, when there is load imbalance. Under quite general conditions that A epsilon R-nxn is a block H-matrix of different types and G : R-n --> R-n is a block P-bounded mapping, we establish convergence theories of these asynchronous multisplitting block two-stage iteration methods.:Numerical computations show that these new methods are very efficient for solving the block system of weakly nonlinear equations in the asynchronous parallel computing environment. (C) 1999 Elsevier Science B.V. All rights reserved. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000083264900003 |
| 出版者 | ELSEVIER SCIENCE BV |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/14159]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 作者单位 | 1.Chinese Acad Sci, Inst Computat Math & Sci Engn Comp, State Key Lab Sci Engn Comp, Beijing 100080, Peoples R China 2.Nottingham Trent Univ, Dept Comp, Nottingham NG1 4BU, England 3.Univ Oxford, Comp Lab, Oxford OX1 3QD, England |
| 推荐引用方式 GB/T 7714 | Bai, ZZ,Evans, DJ,Calinescu, RC. A class of asynchronous multisplitting two-stage iterations for large sparse block systems of weakly nonlinear equations[J]. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS,1999,110(2):271-286. |
| APA | Bai, ZZ,Evans, DJ,&Calinescu, RC.(1999).A class of asynchronous multisplitting two-stage iterations for large sparse block systems of weakly nonlinear equations.JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS,110(2),271-286. |
| MLA | Bai, ZZ,et al."A class of asynchronous multisplitting two-stage iterations for large sparse block systems of weakly nonlinear equations".JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS 110.2(1999):271-286. |
入库方式： OAI收割
来源：数学与系统科学研究院
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