Inexact rotated block triangular preconditioners for a class of block two-by-two matrices

doi:10.1007/s10665-013-9674-1

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	Inexact rotated block triangular preconditioners for a class of block two-by-two matrices
	Lang, Chao; Ren, Zhi-Ru
	2015-08-01
发表期刊	JOURNAL OF ENGINEERING MATHEMATICS
ISSN	0022-0833
卷号	93 期号:1 页码:87-98
摘要	Based on rotated block triangular preconditioners proposed by Bai in (Sci China Math 56, 2013), we give a class of inexact rotated block triangular preconditioners for block two-by-two matrices of real square blocks and , which avoid inversion of the matrix exactly at each step of solving the linear systems. The spectral properties of the corresponding preconditioned matrices are analyzed. Numerical results show that these inexact rotated block triangular preconditioners are more effective than the exact ones when they are used to accelerate Krylov subspace iteration methods for solving block two-by-two linear systems.
关键词	Block two-by-two matrix Block triangular preconditioning Inexact preconditioning Incomplete factorization
DOI	10.1007/s10665-013-9674-1
语种	英语
资助项目	National Natural Science Foundation, P. R. China[11301521]
WOS研究方向	Engineering ; Mathematics
WOS类目	Engineering, Multidisciplinary ; Mathematics, Interdisciplinary Applications
WOS记录号	WOS:000360084200007
出版者	SPRINGER
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/20645
专题	中国科学院数学与系统科学研究院
通讯作者	Ren, Zhi-Ru
作者单位	Chinese Acad Sci, State Key Lab Sci Engn Comp, Inst Computat Math & Sci Engn Comp, Acad Math & Syst Sci, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Lang, Chao,Ren, Zhi-Ru. Inexact rotated block triangular preconditioners for a class of block two-by-two matrices[J]. JOURNAL OF ENGINEERING MATHEMATICS,2015,93(1):87-98.
APA	Lang, Chao,&Ren, Zhi-Ru.(2015).Inexact rotated block triangular preconditioners for a class of block two-by-two matrices.JOURNAL OF ENGINEERING MATHEMATICS,93(1),87-98.
MLA	Lang, Chao,et al."Inexact rotated block triangular preconditioners for a class of block two-by-two matrices".JOURNAL OF ENGINEERING MATHEMATICS 93.1(2015):87-98.