A modified modulus method for symmetric positive-definite linear complementarity problems
文献类型：期刊论文
| 作者 | Dong, Jun-Liang1; Jiang, Mei-Qun2 |
| 刊名 | NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS
 |
| 出版日期 | 2009-02-01 |
| 卷号 | 16期号:2页码:129-143 |
| 关键词 | linear complementarity problem system of linear equations modulus method inexact iterative method symmetric positive-definite matrix |
| ISSN号 | 1070-5325 |
| DOI | 10.1002/nla.609 |
| 英文摘要 | By reformulating the linear complementarity problem into a new equivalent fixed-point equation, we deduce a modified modulus method, which is a generalization of the classical one. Convergence for this new method and the optima of the parameter involved are analyzed. Then, all inexact iteration process for this new method is presented, which adopts some kind of iterative methods for determining all approximate solution to each system of linear equations involved ill the outer iteration. Global convergence for this inexact modulus method and two specific implementations for the inner iterations are discussed. Numerical results show that Our new methods are more efficient than the classical One under suitable conditions. Copyright (C) 2008 John Wiley & Sons, Ltd. |
| 资助项目 | National Basic Research Program[2005CB321702] ; National Natural Science Foundation[10471146] ; Basic Research Foundation of College of Applied Sciences ; Beijing University of Technology ; People's Republic of China |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000262765500003 |
| 出版者 | JOHN WILEY & SONS LTD |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/7487]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Dong, Jun-Liang |
| 作者单位 | 1.Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math & Sci Engn Comp, State Key Lab Sci Engn Comp, Beijing 100080, Peoples R China 2.Suzhou Univ, Sch Math Sci, Suzhou 215006, Peoples R China |
| 推荐引用方式 GB/T 7714 | Dong, Jun-Liang,Jiang, Mei-Qun. A modified modulus method for symmetric positive-definite linear complementarity problems[J]. NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS,2009,16(2):129-143. |
| APA | Dong, Jun-Liang,&Jiang, Mei-Qun.(2009).A modified modulus method for symmetric positive-definite linear complementarity problems.NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS,16(2),129-143. |
| MLA | Dong, Jun-Liang,et al."A modified modulus method for symmetric positive-definite linear complementarity problems".NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS 16.2(2009):129-143. |
入库方式： OAI收割
来源：数学与系统科学研究院
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