Institutional Repository of Coll Elect & Informat Engn
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 |
ISSN | 0898-1221 |
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 |
DOI | 10.1016/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 | |
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 |
推荐引用方式 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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