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Block and asynchronous two-stage methods for mildly nonlinear systems
Bai, ZZ; Migallon, V; Penades, J; Szyld, DB
1999-03-01
Source PublicationNUMERISCHE MATHEMATIK
ISSN0029-599X
Volume82Issue:1Pages:1-20
AbstractBlock 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.
Language英语
WOS Research AreaMathematics
WOS SubjectMathematics, Applied
WOS IDWOS:000079410300001
PublisherSPRINGER
Citation statistics
Cited Times:25[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/14553
Collection计算数学与科学工程计算研究所
Affiliation1.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
Recommended Citation
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.
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