Block and asynchronous two-stage methods for mildly nonlinear systems

	Block and asynchronous two-stage methods for mildly nonlinear systems
	Bai, ZZ; Migallon, V ; Penades, J ; Szyld, DB
	1999-03-01
发表期刊	NUMERISCHE MATHEMATIK
ISSN	0029-599X
卷号	82 期号:1 页码:1-20
摘要	Block parallel iterative methods for the solution of mildly nonlinear systems of equations of the form Ax = Phi(x) are studied. Two-stage methods, where the solution of each block is approximated by an inner iteration, are treated. Both synchronous and asynchronous versions are analyzed, and both pointwise and blockwise convergence theorems provided. The case where there are overlapping blocks is also considered. The analysis of the asynchronous method when applied to linear systems includes cases not treated before in the literature. Mathematics Subject Classification (1991): 65H10, 65F10.
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000079410300001
出版者	SPRINGER
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/14553
专题	计算数学与科学工程计算研究所
通讯作者	Bai, ZZ
作者单位	1.Temple Univ, Dept Math, Philadelphia, PA 19122 USA 2.Chinese Acad Sci, State Key Lab Sci Engn Comp, Inst Computat Math & Sci Engn Comp, Beijing 100080, Peoples R China 3.Univ Alicante, Dept Ciencia Computac & Inteligencia Artificial, E-03071 Alicante, Spain
推荐引用方式 GB/T 7714	Bai, ZZ,Migallon, V,Penades, J,et al. Block and asynchronous two-stage methods for mildly nonlinear systems[J]. NUMERISCHE MATHEMATIK,1999,82(1):1-20.
APA	Bai, ZZ,Migallon, V,Penades, J,&Szyld, DB.(1999).Block and asynchronous two-stage methods for mildly nonlinear systems.NUMERISCHE MATHEMATIK,82(1),1-20.
MLA	Bai, ZZ,et al."Block and asynchronous two-stage methods for mildly nonlinear systems".NUMERISCHE MATHEMATIK 82.1(1999):1-20.