| On structured variants of modified HSS Iteration methods for complex Toeplitz linear systems | |
Chen Fang (陈芳); Jiang Yaolin(蒋耀林) ; Liu Qingquan(刘青泉); Chen, F (reprint author), Xi An Jiao Tong Univ, Dept Math Sci, Xian 710049, Peoples R China
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| Source Publication | JOURNAL OF COMPUTATIONAL MATHEMATICS
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| 2013-01 | |
| Volume | 31Issue:1Pages:57-67 |
| ISSN | 0254-9409 |
| Abstract | 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. |
| Keyword | Toeplitz Matrix Mhss Iteration Method Complex Symmetric Linear System |
| Subject Area | 计算流体力学 |
| URL | 查看原文 |
| Indexed By | SCI ; CSCD |
| Language | 英语 |
| WOS ID | WOS:000322499400004 |
| Funding Organization | 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] |
| Department | LMFS水环境流体力学(LEM) |
| Classification | 二类/Q2 |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://dspace.imech.ac.cn/handle/311007/45852 |
| Collection | 流固耦合系统力学重点实验室 |
| Corresponding Author | Chen, F (reprint author), Xi An Jiao Tong Univ, Dept Math Sci, Xian 710049, Peoples R China |
| Recommended Citation GB/T 7714 | Chen Fang ,Jiang Yaolin,Liu Qingquan,et al. 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,&Chen, F .(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. |
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