A class of asynchronous parallel nonlinear accelerated overrelaxation methods for the nonlinear complementarity problems
文献类型：期刊论文
| 作者 | Bai, ZZ |
| 刊名 | JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
 |
| 出版日期 | 1998-07-02 |
| 卷号 | 93期号:1页码:35-44 |
| 关键词 | nonlinear complementarity problem nonlinear multisplitting relaxation method local convergence asynchronous iteration |
| ISSN号 | 0377-0427 |
| 英文摘要 | In accordance with the principle of using sufficiently the delayed information, and by making use of the nonlinear multisplitting and the nonlinear relaxation techniques, we present in this paper a class of asynchronous parallel nonlinear multisplitting accelerated overrelaxation (AOR) methods for solving the large sparse nonlinear complementarity problems on the high-speed MIMD multiprocessor systems. These new methods, in particular, include the so-called asynchronous parallel nonlinear multisplitting AOR-Newton method, the asynchronous parallel nonlinear multisplitting AOR-chord method and the asynchronous parallel nonlinear multisplitting AOR-Steffensen method. Under suitable constraints on the nonlinear multisplitting and the relaxation parameters, we establish the local convergence theory of this class of new methods when the Jacobi matrix of the involved nonlinear mapping at the solution point of the nonlinear complementarity problem is an H-matrix. (C) 1998 Elsevier Science B.V. All rights reserved. |
| 语种 | 英语 |
| WOS记录号 | WOS:000075112100003 |
| 出版者 | ELSEVIER SCIENCE BV |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/13442]  |
| 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.Univ Oxford, Oxford OX1 3QD, England |
| 推荐引用方式 GB/T 7714 | Bai, ZZ. A class of asynchronous parallel nonlinear accelerated overrelaxation methods for the nonlinear complementarity problems[J]. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS,1998,93(1):35-44. |
| APA | Bai, ZZ.(1998).A class of asynchronous parallel nonlinear accelerated overrelaxation methods for the nonlinear complementarity problems.JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS,93(1),35-44. |
| MLA | Bai, ZZ."A class of asynchronous parallel nonlinear accelerated overrelaxation methods for the nonlinear complementarity problems".JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS 93.1(1998):35-44. |
入库方式： OAI收割
来源：数学与系统科学研究院
浏览0
下载0
收藏0
其他版本
除非特别说明，本系统中所有内容都受版权保护，并保留所有权利。