Remark on convergence of algebraic multigrid in the form of matrix decomposition

doi:10.1016/j.amc.2005.01.014

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	Remark on convergence of algebraic multigrid in the form of matrix decomposition
	Shi, YY; Chang, QS
	2005-11-15
发表期刊	APPLIED MATHEMATICS AND COMPUTATION
ISSN	0096-3003
卷号	170 期号:2 页码:1170-1184
摘要	We introduce the convergence of algebraic multigrid in the form of matrix decomposition. The convergence is proved in block versions of the multi-elimination incomplete LU (BILUM) factorization technique and the approximation of their inverses to preserve sparsity. The convergence theorem can be applied to general interpolation operator. Furthermore, we discuss the error caused by the error matrix. (c) 2005 Elsevier Inc. All rights reserved.
关键词	algebraic multigrid matrix deconiposition convergence
DOI	10.1016/j.amc.2005.01.014
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000233054500036
出版者	ELSEVIER SCIENCE INC
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/2067
专题	中国科学院数学与系统科学研究院
通讯作者	Shi, YY
作者单位	Chinese Acad Sci, Inst Appl Math, Acad Math & Syst Sci, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Shi, YY,Chang, QS. Remark on convergence of algebraic multigrid in the form of matrix decomposition[J]. APPLIED MATHEMATICS AND COMPUTATION,2005,170(2):1170-1184.
APA	Shi, YY,&Chang, QS.(2005).Remark on convergence of algebraic multigrid in the form of matrix decomposition.APPLIED MATHEMATICS AND COMPUTATION,170(2),1170-1184.
MLA	Shi, YY,et al."Remark on convergence of algebraic multigrid in the form of matrix decomposition".APPLIED MATHEMATICS AND COMPUTATION 170.2(2005):1170-1184.