Rotated block triangular preconditioning based on PMHSS

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	Rotated block triangular preconditioning based on PMHSS
其他题名	Rotated block triangular preconditioning based on PMHSS
	Bai ZhongZhi
	2013
发表期刊	SCIENCE CHINA-MATHEMATICS
ISSN	1674-7283
卷号	56 期号:12 页码:2523-2538
摘要	Based on the PMHSS preconditioning matrix, we construct a class of rotated block triangular preconditioners for block two-by-two matrices of real square blocks, and analyze the eigen-properties of the corresponding preconditioned matrices. Numerical experiments show that these rotated block triangular preconditioners can be competitive to and even more efficient than the PMHSS preconditioner when they are used to accelerate Krylov subspace iteration methods for solving block two-by-two linear systems with coefficient matrices possibly of nonsymmetric sub-blocks.
其他摘要	Based on the PMHSS preconditioning matrix, we construct a class of rotated block triangular preconditioners for block two-by-two matrices of real square blocks, and analyze the eigen-properties of the corresponding preconditioned matrices. Numerical experiments show that these rotated block triangular preconditioners can be competitive to and even more efficient than the PMHSS preconditioner when they are used to accelerate Krylov subspace iteration methods for solving block two-by-two linear systems with coefficient matrices possibly of nonsymmetric sub-blocks.
关键词	HERMITIAN SPLITTING METHODS DEFINITE LINEAR-SYSTEMS NONSYMMETRIC MATRICES block two-by-two matrix PMHSS preconditioner block triangular preconditioning product-type preconditioning eigen-properties
收录类别	CSCD
语种	英语
资助项目	[National Natural Science Foundation of China] ; [Hundred Talent Project of Chinese Academy of Sciences] ; [National Basic Research Program]
CSCD记录号	CSCD:5017307
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/54935
专题	中国科学院数学与系统科学研究院
作者单位	中国科学院数学与系统科学研究院
推荐引用方式 GB/T 7714	Bai ZhongZhi. Rotated block triangular preconditioning based on PMHSS[J]. SCIENCE CHINA-MATHEMATICS,2013,56(12):2523-2538.
APA	Bai ZhongZhi.(2013).Rotated block triangular preconditioning based on PMHSS.SCIENCE CHINA-MATHEMATICS,56(12),2523-2538.
MLA	Bai ZhongZhi."Rotated block triangular preconditioning based on PMHSS".SCIENCE CHINA-MATHEMATICS 56.12(2013):2523-2538.