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AN APPROXIMATE ALGORITHM TO SOLVE LINEAR SYSTEMS BY MATRIX WITH OFF-DIAGONAL EXPONENTIAL DECAY ENTRIES
Chang, Qiangshun1,2; Lin, Yanping3; Xu, Shuzhan4
2018
Source PublicationINTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING
ISSN1705-5105
Volume15Issue:3Pages:340-352
AbstractWe present an approximate algorithm to solve only one variable out of a linear system defined by a matrix with off-diagonal exponential decay entries (including the practically most important class of band limited matrices) via a sub linear system. This approach thus enables US to solve any subset of solution variables. Parallel implementation of such approximate schemes for every variable enables us to solve the linear system With computational time independent of the matrix size.
KeywordLinear equation numerical solution sub-linear system decomposition
Language英语
WOS Research AreaMathematics
WOS SubjectMathematics, Applied ; Mathematics
WOS IDWOS:000429094100002
PublisherISCI-INST SCIENTIFIC COMPUTING & INFORMATION
Citation statistics
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/30006
Collection中国科学院数学与系统科学研究院
Affiliation1.Jiangsu Normal Univ, Sch Math & Stat, Xuzhou, Peoples R China
2.Chinese Acad Sci, Inst Appl Math, Beijing, Peoples R China
3.Hong Kong Polytech Univ, Dept Appl Math, Kowloon, Hong Kong, Peoples R China
4.Shangrilantis Ltd, Hong Kong, Hong Kong, Peoples R China
Recommended Citation
GB/T 7714
Chang, Qiangshun,Lin, Yanping,Xu, Shuzhan. AN APPROXIMATE ALGORITHM TO SOLVE LINEAR SYSTEMS BY MATRIX WITH OFF-DIAGONAL EXPONENTIAL DECAY ENTRIES[J]. INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING,2018,15(3):340-352.
APA Chang, Qiangshun,Lin, Yanping,&Xu, Shuzhan.(2018).AN APPROXIMATE ALGORITHM TO SOLVE LINEAR SYSTEMS BY MATRIX WITH OFF-DIAGONAL EXPONENTIAL DECAY ENTRIES.INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING,15(3),340-352.
MLA Chang, Qiangshun,et al."AN APPROXIMATE ALGORITHM TO SOLVE LINEAR SYSTEMS BY MATRIX WITH OFF-DIAGONAL EXPONENTIAL DECAY ENTRIES".INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING 15.3(2018):340-352.
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