KMS Of Academy of mathematics and systems sciences, CAS
Preconditioners for nonsymmetric block Toeplitz-like-plus-diagonal linear systems | |
Bai, ZZ; Ng, MK | |
2003-12-01 | |
发表期刊 | NUMERISCHE MATHEMATIK |
ISSN | 0029-599X |
卷号 | 96期号:2页码:197-220 |
摘要 | We 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. |
DOI | 10.1007/s00211-003-0454-0 |
语种 | 英语 |
WOS研究方向 | Mathematics |
WOS类目 | Mathematics, Applied |
WOS记录号 | WOS:000186830100001 |
出版者 | SPRINGER-VERLAG |
引用统计 | |
文献类型 | 期刊论文 |
条目标识符 | http://ir.amss.ac.cn/handle/2S8OKBNM/18227 |
专题 | 中国科学院数学与系统科学研究院 |
通讯作者 | Ng, MK |
作者单位 | 1.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 |
推荐引用方式 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. |
条目包含的文件 | 条目无相关文件。 |
个性服务 |
推荐该条目 |
保存到收藏夹 |
查看访问统计 |
导出为Endnote文件 |
谷歌学术 |
谷歌学术中相似的文章 |
[Bai, ZZ]的文章 |
[Ng, MK]的文章 |
百度学术 |
百度学术中相似的文章 |
[Bai, ZZ]的文章 |
[Ng, MK]的文章 |
必应学术 |
必应学术中相似的文章 |
[Bai, ZZ]的文章 |
[Ng, MK]的文章 |
相关权益政策 |
暂无数据 |
收藏/分享 |
除非特别说明,本系统中所有内容都受版权保护,并保留所有权利。
修改评论