Asynchronous multisplitting relaxation methods for linear complementarity problems
文献类型：期刊论文
| 作者 | Bai, ZZ; Evans, DJ |
| 刊名 | INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS
 |
| 出版日期 | 1999 |
| 卷号 | 70期号:3页码:519-538 |
| 关键词 | linear complementarity problem asynchronous parallel iteration matrix multi-splitting relaxation technique convergence theory |
| ISSN号 | 0020-7160 |
| 英文摘要 | To solve the linear complementarity problems efficiently on the high-speed multiprocessor systems, we set up a class of asynchronous parallel matrix multisplitting accelerated overrelaxation (AOR) method by technical combination of the matrix multisplitting and the accelerated overrelaxation techniques. The convergence theory of this new method is thoroughly established under the condition that the system matrix of the linear complementarity problem is an H-matrix with positive diagonal elements. At last, we also make multi-parameter extension for this new asynchronous multisplitting AOR method, and investigate the convergence property of the resulted asynchronous multisplitting unsymmetric AOR method. Thereby, an extensive sequence of asynchronous parallel relaxed iteration methods in the sense of multisplitting is presented for solving the large scale linear complementarity problems in the asynchronous parallel computing environments. This not only affords various choices, but also presents systematic convergence theories about the asynchronous parallel relaxation methods for solving the linear complementarity problems. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000079804600013 |
| 出版者 | GORDON BREACH SCI PUBL LTD |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/14591]  |
| 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 | 1.Chinese Acad Sci, Inst Computat Math & Sci Engn Comp, State Key Lab Sci Engn Comp, Beijing 100080, Peoples R China 2.Univ Oxford, Comp Lab, Oxford OX1 3QD, England 3.Loughborough Univ Technol, Parallel Algorithms Res Ctr, Loughborough LE11 3TU, Leics, England 4.Nottingham Trent Univ, Dept Comp, Nottingham NG1 4BU, England |
| 推荐引用方式 GB/T 7714 | Bai, ZZ,Evans, DJ. Asynchronous multisplitting relaxation methods for linear complementarity problems[J]. INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS,1999,70(3):519-538. |
| APA | Bai, ZZ,&Evans, DJ.(1999).Asynchronous multisplitting relaxation methods for linear complementarity problems.INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS,70(3),519-538. |
| MLA | Bai, ZZ,et al."Asynchronous multisplitting relaxation methods for linear complementarity problems".INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS 70.3(1999):519-538. |
入库方式： OAI收割
来源：数学与系统科学研究院
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