Inexact rotated block triangular preconditioners for a class of block two-by-two matrices
文献类型：期刊论文
| 作者 | Lang, Chao; Ren, Zhi-Ru |
| 刊名 | JOURNAL OF ENGINEERING MATHEMATICS
 |
| 出版日期 | 2015-08-01 |
| 卷号 | 93期号:1页码:87-98 |
| 关键词 | Block two-by-two matrix Block triangular preconditioning Inexact preconditioning Incomplete factorization |
| ISSN号 | 0022-0833 |
| DOI | 10.1007/s10665-013-9674-1 |
| 英文摘要 | Based on rotated block triangular preconditioners proposed by Bai in (Sci China Math 56, 2013), we give a class of inexact rotated block triangular preconditioners for block two-by-two matrices of real square blocks and , which avoid inversion of the matrix exactly at each step of solving the linear systems. The spectral properties of the corresponding preconditioned matrices are analyzed. Numerical results show that these inexact rotated block triangular preconditioners are more effective than the exact ones when they are used to accelerate Krylov subspace iteration methods for solving block two-by-two linear systems. |
| 资助项目 | National Natural Science Foundation, P. R. China[11301521] |
| WOS研究方向 | Engineering ; Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000360084200007 |
| 出版者 | SPRINGER |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/20644]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Ren, Zhi-Ru |
| 作者单位 | Chinese Acad Sci, State Key Lab Sci Engn Comp, Inst Computat Math & Sci Engn Comp, Acad Math & Syst Sci, Beijing 100190, Peoples R China |
| 推荐引用方式 GB/T 7714 | Lang, Chao,Ren, Zhi-Ru. Inexact rotated block triangular preconditioners for a class of block two-by-two matrices[J]. JOURNAL OF ENGINEERING MATHEMATICS,2015,93(1):87-98. |
| APA | Lang, Chao,&Ren, Zhi-Ru.(2015).Inexact rotated block triangular preconditioners for a class of block two-by-two matrices.JOURNAL OF ENGINEERING MATHEMATICS,93(1),87-98. |
| MLA | Lang, Chao,et al."Inexact rotated block triangular preconditioners for a class of block two-by-two matrices".JOURNAL OF ENGINEERING MATHEMATICS 93.1(2015):87-98. |
入库方式： OAI收割
来源：数学与系统科学研究院
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