Matrix multisplitting methods with applications to linear complementarity problems: Parallel asynchronous methods
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 | 2002-02-01 |
| 卷号 | 79期号:2页码:205-232 |
| 关键词 | linear complementarity problem matrix multisplitting parallel asynchronous iterative methods relaxation technique convergence theory |
| ISSN号 | 0020-7160 |
| DOI | 10.1080/00207160290004847 |
| 英文摘要 | We consider parallel matrix multisplitting methods for solving linear complementarity problem that finds a real vector z is an element of R-n such that Mz + q greater than or equal to 0, z greater than or equal to 0 and z(T)(Mz+q) = 0, where M is an element of R-nxn is a given real matrix and q is an element of R-n a given real vector. The recently developed parallel asynchronous multisplitting iterative methods based on fixed-point transformation of the problem, explicit projection of the system and implicit splittings of the matrix are reviewed; their asymptotic convergence properties for some typical matrix class are discussed; and their internal relationships are studied. Therefore, systematic algorithmic models in the sense of multisplitting and reliable theoretical guarantees in the sense of asymptotic convergence are presented for solving the large sparse linear complementarity problems on modem high-speed multiprocessor systems. This paper is a continuity of the recent work of Bai and Evans [18], which includes the parallel synchronous and chaotic matrix multisplitting iterative methods and their convergence theories. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000175818400006 |
| 出版者 | TAYLOR & FRANCIS LTD |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/17387]  |
| 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, State Key Lab Sci Engn Comp, Inst Computat Math & Sci Engn Comp, Acad Math & Syst Sci, Beijing 100080, Peoples R China 2.Nottingham Trent Univ, Dept Comp, Nottingham NG1 4BU, England |
| 推荐引用方式 GB/T 7714 | Bai, ZZ,Evans, DJ. Matrix multisplitting methods with applications to linear complementarity problems: Parallel asynchronous methods[J]. INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS,2002,79(2):205-232. |
| APA | Bai, ZZ,&Evans, DJ.(2002).Matrix multisplitting methods with applications to linear complementarity problems: Parallel asynchronous methods.INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS,79(2),205-232. |
| MLA | Bai, ZZ,et al."Matrix multisplitting methods with applications to linear complementarity problems: Parallel asynchronous methods".INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS 79.2(2002):205-232. |
入库方式： OAI收割
来源：数学与系统科学研究院
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