The restrictively preconditioned conjugate gradient methods on normal residual for block two-by-two linear systems
文献类型：期刊论文
| 作者 | Yin, Junfeng; Bai, Zhongzhi
|
| 刊名 | JOURNAL OF COMPUTATIONAL MATHEMATICS
 |
| 出版日期 | 2008-03-01 |
| 卷号 | 26期号:2页码:240-249 |
| 关键词 | block two-by-two linear system saddle point problem restrictively preconditioned conjugate gradient method normal-residual equation incomplete orthogonal factorization |
| ISSN号 | 0254-9409 |
| 英文摘要 | The restrictively preconditioned conjugate gradient (RPCG) method is further developed to solve large sparse system of linear equations of a block two-by-two structure. The basic idea of this new approach is that we apply the RPCG method to the normal-residual equation of the block two-by-two linear system and construct each required approximate matrix by making use of the incomplete orthogonal factorization of the involved matrix blocks. Numerical experiments show that the new method, called the restrictively preconditioned conjugate gradient on normal residual (RPCGNR), is more robust and effective than either the known RPCG method or the standard conjugate gradient on normal residual (CGNR) method when being used for solving the large sparse saddle point problems. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000254352200006 |
| 出版者 | VSP BV |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/5882]  |
| 专题 | 计算数学与科学工程计算研究所 |
| 通讯作者 | Yin, Junfeng |
| 作者单位 | Chinese Acad Sci, Acad Math & Syst Sci, LSEC, ICMSEC, Beijing 100080, Peoples R China |
| 推荐引用方式 GB/T 7714 | Yin, Junfeng,Bai, Zhongzhi. The restrictively preconditioned conjugate gradient methods on normal residual for block two-by-two linear systems[J]. JOURNAL OF COMPUTATIONAL MATHEMATICS,2008,26(2):240-249. |
| APA | Yin, Junfeng,&Bai, Zhongzhi.(2008).The restrictively preconditioned conjugate gradient methods on normal residual for block two-by-two linear systems.JOURNAL OF COMPUTATIONAL MATHEMATICS,26(2),240-249. |
| MLA | Yin, Junfeng,et al."The restrictively preconditioned conjugate gradient methods on normal residual for block two-by-two linear systems".JOURNAL OF COMPUTATIONAL MATHEMATICS 26.2(2008):240-249. |
入库方式： OAI收割
来源：数学与系统科学研究院
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