Parallel hybrid algebraic multilevel iterative methods

	Parallel hybrid algebraic multilevel iterative methods
	Bai, ZZ
刊名	LINEAR ALGEBRA AND ITS APPLICATIONS
	1997-12-01
卷号	267 页码:281-315
ISSN号	0024-3795
英文摘要	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
出版者	ELSEVIER SCIENCE INC
WOS记录号	WOS:A1997YD15700016
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/28952]
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.