Parallel hybrid algebraic multilevel iterative methods

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	Parallel hybrid algebraic multilevel iterative methods
	Bai, ZZ
	1997-12-01
发表期刊	LINEAR ALGEBRA AND ITS APPLICATIONS
ISSN	0024-3795
卷号	267 页码:281-315
摘要	For the large-scale system of linear equations with symmetric positive definite block coefficient matrix resulting from the discretization of a self-adjoint elliptic boundary-value problem, by making use of the blocked multilevel iteration idea, we construct preconditioning matrices for the coefficient matrix and set up a class of parallel hybrid algebraic multilevel iterative methods for solving this kind of system of linear equations. Theoretical analysis shows that not only do these new methods lend themselves to parallel computation, but also their convergence rates are independent of both the sizes and the level numbers of the grids, and their computational work loads are also hounded by linear functions of the step sizes of the finest grids. (C) 1997 Elsevier Science Inc.
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:A1997YD15700016
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/28953
专题	中国科学院数学与系统科学研究院
通讯作者	Bai, ZZ
作者单位	CHINESE ACAD SCI,INST COMPUTAT MATH & SCI ENGN COMP,POB 2719,BEIJING 100080,PEOPLES R CHINA
推荐引用方式 GB/T 7714	Bai, ZZ. Parallel hybrid algebraic multilevel iterative methods[J]. LINEAR ALGEBRA AND ITS APPLICATIONS,1997,267:281-315.
APA	Bai, ZZ.(1997).Parallel hybrid algebraic multilevel iterative methods.LINEAR ALGEBRA AND ITS APPLICATIONS,267,281-315.
MLA	Bai, ZZ."Parallel hybrid algebraic multilevel iterative methods".LINEAR ALGEBRA AND ITS APPLICATIONS 267(1997):281-315.