Convergence analysis of the two-stage multisplitting method

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	Convergence analysis of the two-stage multisplitting method
	Bai, ZZ
	1999-06-01
发表期刊	CALCOLO
ISSN	0008-0624
卷号	36 期号:2 页码:63-74
摘要	An example is given which shows that the asymptotic convergence rate of the two-stage multisplitting method (see D.B. Szyld and M.T. Jones, SIAM J. Matrix Anal. Appl. 13, 671-679 (1992)) with one inner iteration is, generally, either faster or slower than that with many inner iterations. When the coefficient matrix is an H-matrix and a monotone matrix, respectively, we formulate the convergence as well as the monotone convergence theories for this two-stage multisplitting method under suitable constraints on the two-stage multisplitting. Furthermore, the corresponding comparison theorem in the sense of monotonicity for this method is established and several concrete applications are discussed.
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics
WOS记录号	WOS:000082543500001
出版者	SPRINGER VERLAG
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/14307
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, State Key Lab Sci Engn Comp, Inst Computat Math & Sci Engn Comp, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Bai, ZZ. Convergence analysis of the two-stage multisplitting method[J]. CALCOLO,1999,36(2):63-74.
APA	Bai, ZZ.(1999).Convergence analysis of the two-stage multisplitting method.CALCOLO,36(2),63-74.
MLA	Bai, ZZ."Convergence analysis of the two-stage multisplitting method".CALCOLO 36.2(1999):63-74.