Convergence theorems for parallel multisplitting two-stage iterative methods for mildly-nonlinear systems

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	Convergence theorems for parallel multisplitting two-stage iterative methods for mildly-nonlinear systems
	Bai, ZZ ; Wang, CL
	2003-03-15
发表期刊	LINEAR ALGEBRA AND ITS APPLICATIONS
ISSN	0024-3795
卷号	362 页码:237-250
摘要	For the system of mildly nonlinear equations, Ax = F(x), where A is an element of R-nxn is an n-by-n sparse real matrix and F : R-n --> R-n a general nonlinear mapping, both local and global convergence properties of the multisplitting two-stage iterative method (Numer. Algorithms 15 (1997) 347) are further studied in depth when A is an element of R-nxn is symmetric positive definite and its multiple splittings are symmetric P-regular. (C) 2003 Elsevier Science Inc. All rights reserved.
关键词	system of mildly nonlinear equations symmetric-positive definiteness symmetric P-regular splitting local and global convergence
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000181154800019
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/19074
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	1.Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math & Sci Engn Comp, State Key Lab Sci Engn Comp, Beijing 100080, Peoples R China 2.Taiyuan Teachers Coll, Dept Math, Taiyuan 030012, Shanxi Province, Peoples R China
推荐引用方式 GB/T 7714	Bai, ZZ,Wang, CL. Convergence theorems for parallel multisplitting two-stage iterative methods for mildly-nonlinear systems[J]. LINEAR ALGEBRA AND ITS APPLICATIONS,2003,362:237-250.
APA	Bai, ZZ,&Wang, CL.(2003).Convergence theorems for parallel multisplitting two-stage iterative methods for mildly-nonlinear systems.LINEAR ALGEBRA AND ITS APPLICATIONS,362,237-250.
MLA	Bai, ZZ,et al."Convergence theorems for parallel multisplitting two-stage iterative methods for mildly-nonlinear systems".LINEAR ALGEBRA AND ITS APPLICATIONS 362(2003):237-250.