A shift-splitting preconditioner for non-Hermitian positive definite matrices
文献类型：期刊论文
| 作者 | Bai, Zhong-zhi; Yin, Jun-feng; Su, Yang-feng |
| 刊名 | JOURNAL OF COMPUTATIONAL MATHEMATICS
 |
| 出版日期 | 2006-07-01 |
| 卷号 | 24期号:4页码:539-552 |
| 关键词 | non-Hermitian positive definite matrix matrix splitting preconditioning Krylov subspace method convergence |
| ISSN号 | 0254-9409 |
| 英文摘要 | A shift splitting concept is introduced and, correspondingly, a shift-splitting iteration scheme and a shift-splitting preconditioner are presented, for solving the large sparse system of linear equations of which the coefficient matrix is an ill-conditioned non-Hermitian positive definite matrix. The convergence property of the shift-splitting iteration method and the eigenvalue distribution of the shift-splitting preconditioned matrix are discussed in depth, and the best possible choice of the shift is investigated in detail. Numerical computations show that the shift-splitting preconditioner can induce accurate, robust and effective preconditioned Krylov subspace iteration methods for solving the large sparse non-Hermitian positive definite systems of linear equations. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000239402800008 |
| 出版者 | VSP BV |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/3617]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Bai, Zhong-zhi |
| 作者单位 | 1.Chinese Acad Sci, LSEC, ICMSEC, Acad Math & Syst Sci, Beijing 100080, Peoples R China 2.Fudan Univ, Dept Math, Shanghai 200433, Peoples R China |
| 推荐引用方式 GB/T 7714 | Bai, Zhong-zhi,Yin, Jun-feng,Su, Yang-feng. A shift-splitting preconditioner for non-Hermitian positive definite matrices[J]. JOURNAL OF COMPUTATIONAL MATHEMATICS,2006,24(4):539-552. |
| APA | Bai, Zhong-zhi,Yin, Jun-feng,&Su, Yang-feng.(2006).A shift-splitting preconditioner for non-Hermitian positive definite matrices.JOURNAL OF COMPUTATIONAL MATHEMATICS,24(4),539-552. |
| MLA | Bai, Zhong-zhi,et al."A shift-splitting preconditioner for non-Hermitian positive definite matrices".JOURNAL OF COMPUTATIONAL MATHEMATICS 24.4(2006):539-552. |
入库方式： OAI收割
来源：数学与系统科学研究院
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