A class of block alternating splitting implicit iteration methods for double saddle point linear systems | |
Dou, Yan1; Liang, Zhao-Zheng2 | |
刊名 | NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS |
2022-05-01 | |
关键词 | block alternating splitting implicit iteration convergence analysis preconditioning saddle point problems |
ISSN号 | 1070-5325 |
DOI | 10.1002/nla.2455 |
英文摘要 | In the framework of a special block alternating splitting implicit (BASI) iteration scheme for generalized saddle point problems, we establish some new iteration methods for solving double saddle point problems by means of a suitable partitioning strategy. Convergence analysis of the corresponding BASI iteration methods indicates that they are convergent unconditionally under certain weak requirements for the related matrix splittings, which are satisfied directly for our specific application to double saddle point problems. Numerical examples for liquid crystal director and time-harmonic eddy current models are presented to demonstrate the efficiency of the proposed BASI preconditioners to accelerate the GMRES method. |
WOS研究方向 | Mathematics |
语种 | 英语 |
出版者 | WILEY |
WOS记录号 | WOS:000802340000001 |
内容类型 | 期刊论文 |
源URL | [http://ir.lut.edu.cn/handle/2XXMBERH/158895] |
专题 | 理学院 |
作者单位 | 1.Lanzhou Univ Technol, Sch Sci, Lanzhou, Peoples R China; 2.Lanzhou Univ, Sch Math & Stat, Lanzhou, Peoples R China |
推荐引用方式 GB/T 7714 | Dou, Yan,Liang, Zhao-Zheng. A class of block alternating splitting implicit iteration methods for double saddle point linear systems[J]. NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS,2022. |
APA | Dou, Yan,&Liang, Zhao-Zheng.(2022).A class of block alternating splitting implicit iteration methods for double saddle point linear systems.NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS. |
MLA | Dou, Yan,et al."A class of block alternating splitting implicit iteration methods for double saddle point linear systems".NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS (2022). |
个性服务 |
查看访问统计 |
相关权益政策 |
暂无数据 |
收藏/分享 |
除非特别说明,本系统中所有内容都受版权保护,并保留所有权利。
修改评论