On structured variants of modified HSS Iteration methods for complex Toeplitz linear systems

CORC > 力学研究所 > 中国科学院力学研究所 > 流固耦合系统力学重点实验室(2012-)

	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)
刊名	JOURNAL OF COMPUTATIONAL MATHEMATICS
	2013-01
通讯作者邮箱	chenfreesky@gmail.com;qqliu@imech.ac.cn
卷号	31 期号:1 页码:57-67
关键词	Toeplitz matrix MHSS iteration method Complex symmetric linear system
ISSN号	0254-9409
通讯作者	Chen, F (reprint author), Xi An Jiao Tong Univ, Dept Math Sci, Xian 710049, Peoples R China
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
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
内容类型	期刊论文
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.