Modulus-based matrix splitting iteration methods for linear complementarity problems
文献类型：期刊论文
| 作者 | Bai, Zhong-Zhi
|
| 刊名 | NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS
 |
| 出版日期 | 2010-12-01 |
| 卷号 | 17期号:6页码:917-933 |
| 关键词 | linear complementarity problem matrix splitting iteration method convergence |
| ISSN号 | 1070-5325 |
| DOI | 10.1002/nla.680 |
| 英文摘要 | For the large sparse linear complementarity problems, by reformulating them as implicit fixed-point equations based on splittings of the system matrices, we establish a class of modulus-based matrix splitting iteration methods and prove their convergence when the system matrices are positive-definite matrices and H(+)-matrices. These results naturally present convergence conditions for the symmetric positive-definite matrices and the M-matrices. Numerical results show that the modulus-based relaxation methods are superior to the projected relaxation methods as well as the modified modulus method in computing efficiency. Copyright (C) 2009 John Wiley & Sons, Ltd. |
| 语种 | 英语 |
| WOS记录号 | WOS:000285795400003 |
| 出版者 | JOHN WILEY & SONS LTD |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/10049]  |
| 专题 | 计算数学与科学工程计算研究所 |
| 通讯作者 | Bai, Zhong-Zhi |
| 作者单位 | Chinese Acad Sci, Acad Math & Syst Sci, State Key Lab Sci Engn Comp, Inst Computat Math & Sci Engn Comp, Beijing 100190, Peoples R China |
| 推荐引用方式 GB/T 7714 | Bai, Zhong-Zhi. Modulus-based matrix splitting iteration methods for linear complementarity problems[J]. NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS,2010,17(6):917-933. |
| APA | Bai, Zhong-Zhi.(2010).Modulus-based matrix splitting iteration methods for linear complementarity problems.NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS,17(6),917-933. |
| MLA | Bai, Zhong-Zhi."Modulus-based matrix splitting iteration methods for linear complementarity problems".NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS 17.6(2010):917-933. |
入库方式： OAI收割
来源：数学与系统科学研究院
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