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Preconditioned Hermitian and skew-Hermitian splitting methods for non-Hermitian positive semidefinite linear systems
文献类型：期刊论文
| 作者 | Bai, ZZ ; Golub, GH; Pan, JY
|
| 刊名 | NUMERISCHE MATHEMATIK
 |
| 出版日期 | 2004-07-01 |
| 卷号 | 98期号:1页码:1-32 |
| ISSN号 | 0029-599X |
| DOI | 10.1007/s00211-004-0521-1 |
| 英文摘要 | For the positive semidefinite system of linear equations of a block two-by-two structure, by making use of the Hermitian/skew-Hermitian splitting iteration technique we establish a class of preconditioned Hermitian/skew-Hermitian splitting iteration methods. Theoretical analysis shows that the new method converges unconditionally to the unique solution of the linear system. Moreover, the optimal choice of the involved iteration parameter and the corresponding asymptotic convergence rate are computed exactly. Numerical examples further confirm the correctness of the theory and the effectiveness of the method. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000222570900001 |
| 出版者 | SPRINGER |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/788]  |
| 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.Stanford Univ, Dept Comp Sci, Sci Comp & Computat Math Program, Stanford, CA 94305 USA |
| 推荐引用方式 GB/T 7714 | Bai, ZZ,Golub, GH,Pan, JY. Preconditioned Hermitian and skew-Hermitian splitting methods for non-Hermitian positive semidefinite linear systems[J]. NUMERISCHE MATHEMATIK,2004,98(1):1-32. |
| APA | Bai, ZZ,Golub, GH,&Pan, JY.(2004).Preconditioned Hermitian and skew-Hermitian splitting methods for non-Hermitian positive semidefinite linear systems.NUMERISCHE MATHEMATIK,98(1),1-32. |
| MLA | Bai, ZZ,et al."Preconditioned Hermitian and skew-Hermitian splitting methods for non-Hermitian positive semidefinite linear systems".NUMERISCHE MATHEMATIK 98.1(2004):1-32. |
入库方式： OAI收割
来源：数学与系统科学研究院
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