A class of block alternating splitting implicit iteration methods for double saddle point linear systems

doi:10.1002/nla.2455

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	A class of block alternating splitting implicit iteration methods for double saddle point linear systems
	Dou, Yan 1; Liang, Zhao-Zheng 2
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).