Combinative preconditioners of modified incomplete cholesky factorization and Sherman-Morrison-Woodbury update for self-adjoint elliptic Dirichlet-periodic boundary value problems
文献类型：期刊论文
| 作者 | Bai, ZZ; Li, GQ; Lu, LZ |
| 刊名 | JOURNAL OF COMPUTATIONAL MATHEMATICS
 |
| 出版日期 | 2004-11-01 |
| 卷号 | 22期号:6页码:833-856 |
| 关键词 | system of linear equations conjugate gradient method incomplete Cholesky factorization Sherman-Morrison-Woodbury formula conditioning |
| ISSN号 | 0254-9409 |
| 英文摘要 | For the system of linear equations arising from discretization of the second-order self-adjoint elliptic Dirichlet-periodic boundary value problems, by making use of the special structure of the coefficient matrix we present a class of combinative preconditioners which are technical combinations of modified incomplete Cholesky factorizations and Sherman-Morrison-Woodbury update. Theoretical analyses show that the condition numbers of the preconditioned matrices can be reduced to O(h(-1)), one order smaller than the condition number O(h(-2)) of the original matrix. Numerical implementations show that the resulting preconditioned conjugate gradient methods are feasible, robust and efficient for solving this class of linear systems. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000225350200006 |
| 出版者 | VSP BV |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/19639]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Bai, ZZ |
| 作者单位 | 1.Chinese Acad Sci, Acad Math & Syst Sci, LESC, ICMSEC, Beijing 100080, Peoples R China 2.Xiamen Univ, Dept Math, Xiamen 361005, Peoples R China |
| 推荐引用方式 GB/T 7714 | Bai, ZZ,Li, GQ,Lu, LZ. Combinative preconditioners of modified incomplete cholesky factorization and Sherman-Morrison-Woodbury update for self-adjoint elliptic Dirichlet-periodic boundary value problems[J]. JOURNAL OF COMPUTATIONAL MATHEMATICS,2004,22(6):833-856. |
| APA | Bai, ZZ,Li, GQ,&Lu, LZ.(2004).Combinative preconditioners of modified incomplete cholesky factorization and Sherman-Morrison-Woodbury update for self-adjoint elliptic Dirichlet-periodic boundary value problems.JOURNAL OF COMPUTATIONAL MATHEMATICS,22(6),833-856. |
| MLA | Bai, ZZ,et al."Combinative preconditioners of modified incomplete cholesky factorization and Sherman-Morrison-Woodbury update for self-adjoint elliptic Dirichlet-periodic boundary value problems".JOURNAL OF COMPUTATIONAL MATHEMATICS 22.6(2004):833-856. |
入库方式： OAI收割
来源：数学与系统科学研究院
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