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Preconditioners for nonsymmetric block Toeplitz-like-plus-diagonal linear systems
Bai, ZZ; Ng, MK
2003-12-01
Source PublicationNUMERISCHE MATHEMATIK
ISSN0029-599X
Volume96Issue:2Pages:197-220
AbstractWe consider the system of linear equations Lu=f, where L is a nonsymmetric block Toeplitz-like-plus-diagonal matrix, which arises from the Sinc-Galerkin discretization of differential equations. Our main contribution is to construct effective preconditioners for this structured coefficient matrix and to derive tight bounds for eigenvalues of the preconditioned matrices. Moreover, we use numerical examples to show that the new preconditioners, when applied to the preconditioned GMRES method, are efficient for solving the system of linear equations.
DOI10.1007/s00211-003-0454-0
Language英语
WOS Research AreaMathematics
WOS SubjectMathematics, Applied
WOS IDWOS:000186830100001
PublisherSPRINGER-VERLAG
Citation statistics
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/18227
Collection中国科学院数学与系统科学研究院
Corresponding AuthorNg, MK
Affiliation1.Univ Hong Kong, Dept Math, Hong Kong, Hong Kong, Peoples R China
2.Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math & Sci Engn Comp, State Key Lab Sci Engn Comp, Beijing 100080, Peoples R China
Recommended Citation
GB/T 7714
Bai, ZZ,Ng, MK. Preconditioners for nonsymmetric block Toeplitz-like-plus-diagonal linear systems[J]. NUMERISCHE MATHEMATIK,2003,96(2):197-220.
APA Bai, ZZ,&Ng, MK.(2003).Preconditioners for nonsymmetric block Toeplitz-like-plus-diagonal linear systems.NUMERISCHE MATHEMATIK,96(2),197-220.
MLA Bai, ZZ,et al."Preconditioners for nonsymmetric block Toeplitz-like-plus-diagonal linear systems".NUMERISCHE MATHEMATIK 96.2(2003):197-220.
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