On structured variants of modified HSS Iteration methods for complex Toeplitz linear systems
文献类型：期刊论文
| 作者 | Chen Fang (陈芳); Jiang Yaolin(蒋耀林) ; Liu Qingquan(刘青泉)
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| 刊名 | JOURNAL OF COMPUTATIONAL MATHEMATICS
 |
| 出版日期 | 2013-01 |
| 卷号 | 31期号:1页码:57-67 |
| 通讯作者邮箱 | chenfreesky@gmail.com;qqliu@imech.ac.cn |
| 关键词 | Toeplitz matrix MHSS iteration method Complex symmetric linear system |
| ISSN号 | 0254-9409 |
| 产权排序 | [Chen, Fang; Jiang, Yaolin] Xi An Jiao Tong Univ, Dept Math Sci, Xian 710049, Peoples R China; [Chen, Fang; Liu, Qingquan] Chinese Acad Sci, Inst Mech, Key Lab Environm Mech, Beijing 100190, Peoples R China |
| 通讯作者 | Chen, F (reprint author), Xi An Jiao Tong Univ, Dept Math Sci, Xian 710049, Peoples R China |
| 合作状况 | 国内 |
| 中文摘要 | The Modified Hermitian and skew-Hermitian splitting (MHSS) iteration method was presented and studied by Bai, Benzi and Chen (Computing, 87(2010), 93-111) for solving a class of complex symmetric linear systems. In this paper, using the properties of Toeplitz matrix, we propose a class of structured MHSS iteration methods for solving the complex Toeplitz linear system. Theoretical analysis shows that the structured MHSS iteration method is unconditionally convergent to the exact solution. When the MHSS iteration method is used directly to complex symmetric Toeplitz linear systems, the computational costs can be considerately reduced by use of Toeplitz structure. Finally, numerical experiments show that the structured MHSS iteration method and the structured MHSS preconditioner are efficient for solving the complex Toeplitz linear system. |
| 学科主题 | 计算流体力学 |
| 分类号 | 二类/Q2 |
| 收录类别 | SCI ; CSCD |
| 资助信息 | State Key Laboratory of Scientific/Engineering Computing, Chinese Academy of Sciences; International Science and Technology Co-operation Program of China [2010DFA14700]; Natural Science Foundation of China (NSFC), P.R. China [11071192] |
| 原文出处 | http://www.global-sci.org/jcm/galley/JCM4022.pdf |
| 语种 | 英语 |
| WOS记录号 | WOS:000322499400004 |
| 公开日期 | 2012-12-21 |
| 源URL | [http://dspace.imech.ac.cn/handle/311007/45852]  |
| 专题 | 力学研究所_流固耦合系统力学重点实验室(2012-) |
| 推荐引用方式 GB/T 7714 | Chen Fang ,Jiang Yaolin,Liu Qingquan. On structured variants of modified HSS Iteration methods for complex Toeplitz linear systems[J]. JOURNAL OF COMPUTATIONAL MATHEMATICS,2013,31(1):57-67. |
| APA | Chen Fang ,Jiang Yaolin,&Liu Qingquan.(2013).On structured variants of modified HSS Iteration methods for complex Toeplitz linear systems.JOURNAL OF COMPUTATIONAL MATHEMATICS,31(1),57-67. |
| MLA | Chen Fang ,et al."On structured variants of modified HSS Iteration methods for complex Toeplitz linear systems".JOURNAL OF COMPUTATIONAL MATHEMATICS 31.1(2013):57-67. |
入库方式： OAI收割
来源：力学研究所
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