Preconditioned HSS iteration method and its non-alternating variant for continuous Sylvester equations
Li, Xu1,2; Huo, Hai-Feng1,2; Yang, Ai-Li3
2018-02-15
发表期刊COMPUTERS & MATHEMATICS WITH APPLICATIONS
ISSN0898-1221
卷号75期号:4页码:1095-1106
摘要Bai (2010) proposed an efficient Hermitian and skew-Hermitian splitting (HSS) iteration method for solving a broad class of large sparse continuous Sylvester equations. To further improve the efficiency of the HSS method, in this paper we present a preconditioned HSS (PHSS) iteration method and its non-alternating variant (NPHSS) for this matrix equation. The convergence properties of the PHSS and NPHSS methods are studied in depth and the quasi-optimal values of the iteration parameters for the two methods are also derived. Moreover, to reduce the computational cost, we establish the inexact variants of the two iteration methods. Numerical experiments illustrate the efficiency and robustness of the two iteration methods and their inexact variants. (C) 2017 Elsevier Ltd. All rights reserved.
关键词Continuous Sylvester equation Preconditioned HSS iteration Non-alternating PHSS iteration Inexact iteration Convergence analysis
DOI10.1016/j.camwa.2017.10.028
收录类别SCI ; SCIE
语种英语
资助项目China Postdoctoral Science Foundation[2016M592858]
WOS研究方向Mathematics
WOS类目Mathematics, Applied
WOS记录号WOS:000428100600002
出版者PERGAMON-ELSEVIER SCIENCE LTD
EI入藏号20174804464959
EI主题词Iterative methods
EI分类号913.1 Production Engineering - 921.1 Algebra - 921.6 Numerical Methods
引用统计
被引频次:4[WOS]   [WOS记录]     [WOS相关记录]
文献类型期刊论文
条目标识符https://ir.lut.edu.cn/handle/2XXMBERH/32779
专题电气工程与信息工程学院
材料科学与工程学院
理学院
学科建设与学位办公室
通讯作者Huo, Hai-Feng
作者单位1.Lanzhou Univ Technol, Coll Elect & Informat Engn, Lanzhou 730050, Gansu, Peoples R China;
2.Lanzhou Univ Technol, Dept Appl Math, Lanzhou 730050, Gansu, Peoples R China;
3.Lanzhou Univ, Sch Math & Stat, Lanzhou 730000, Gansu, Peoples R China
第一作者单位电气工程与信息工程学院;  材料科学与工程学院
通讯作者单位电气工程与信息工程学院;  材料科学与工程学院
第一作者的第一单位电气工程与信息工程学院
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GB/T 7714
Li, Xu,Huo, Hai-Feng,Yang, Ai-Li. Preconditioned HSS iteration method and its non-alternating variant for continuous Sylvester equations[J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS,2018,75(4):1095-1106.
APA Li, Xu,Huo, Hai-Feng,&Yang, Ai-Li.(2018).Preconditioned HSS iteration method and its non-alternating variant for continuous Sylvester equations.COMPUTERS & MATHEMATICS WITH APPLICATIONS,75(4),1095-1106.
MLA Li, Xu,et al."Preconditioned HSS iteration method and its non-alternating variant for continuous Sylvester equations".COMPUTERS & MATHEMATICS WITH APPLICATIONS 75.4(2018):1095-1106.
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