On inexact preconditioners for nonsymmetric matrices
文献类型：期刊论文
| 作者 | Bai, ZZ ; Ng, MK
|
| 刊名 | SIAM JOURNAL ON SCIENTIFIC COMPUTING
 |
| 出版日期 | 2005 |
| 卷号 | 26期号:5页码:1710-1724 |
| 关键词 | block two-by-two matrices preconditioners minimal polynomial |
| ISSN号 | 1064-8275 |
| DOI | 10.1137/040604091 |
| 英文摘要 | Inexact versions of the block-triangular preconditioners for nonsymmetric matrices of block two-by-two structures in [ M. F. Murphy, G. H. Golub, and A. J. Wathen, SIAM J. Sci. Comput., 21 ( 2000), pp. 1969 - 1972] and [ I. C. F. Ipsen, SIAM J. Sci. Comput., 23 ( 2001), pp. 1050 - 1051] are presented, and the two preconditioners for symmetric block two-by-two matrices in [ C. Durazzi and V. Ruggiero, Numer. Linear Algebra Appl., 10 ( 2003), pp. 673 - 688] are extended to general nonsymmetric matrices. Moreover, we precisely describe the spectral properties of the preconditioned matrices and the finite-step termination properties of the preconditioned Krylov subspace iteration methods with an optimal or Galerkin property, with respect to these preconditioners. Several numerical examples are performed to illustrate the effectiveness of the proposed preconditioners. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000229475200012 |
| 出版者 | SIAM PUBLICATIONS |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/2135]  |
| 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.Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math & Sci Engn Comp, State Key lab Sci Engn Comp, Beijing 100080, Peoples R China 2.Univ Hong Kong, Dept Math, Hong Kong, Hong Kong, Peoples R China |
| 推荐引用方式 GB/T 7714 | Bai, ZZ,Ng, MK. On inexact preconditioners for nonsymmetric matrices[J]. SIAM JOURNAL ON SCIENTIFIC COMPUTING,2005,26(5):1710-1724. |
| APA | Bai, ZZ,&Ng, MK.(2005).On inexact preconditioners for nonsymmetric matrices.SIAM JOURNAL ON SCIENTIFIC COMPUTING,26(5),1710-1724. |
| MLA | Bai, ZZ,et al."On inexact preconditioners for nonsymmetric matrices".SIAM JOURNAL ON SCIENTIFIC COMPUTING 26.5(2005):1710-1724. |
入库方式： OAI收割
来源：数学与系统科学研究院
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