Left conjugate gradient method for non-Hermitian linear systems
文献类型：期刊论文
| 作者 | Wang, Li-Ping2; Dai, Yu-Hong1
|
| 刊名 | NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS
 |
| 出版日期 | 2008-12-01 |
| 卷号 | 15期号:10页码:891-909 |
| 关键词 | left conjugate direction method left conjugate gradient method non-Hermitian linear system breakdown block left conjugate gradient method |
| ISSN号 | 1070-5325 |
| DOI | 10.1002/nla.600 |
| 英文摘要 | Recently, Yuan et al. (BIT: Numer, Math. 2004; 44(1):189-207) proposed the left conjugate gradient (LCG) method for real positive-definite linear systems. This paper aims to generalize their method for solving complex non-Hermitian linear systems. to avoid the breakdown that possibly occurred in the LCG method, we also propose the block left conjugate direction method and the block LCG (BLCG) method. It is found that no breakdown occurs in the BLCG method and the block idea also applies to the real nonsymmetric case. Numerical experiments demonstrate the usefulness of the proposed LCG method. Copyright (C) John Wiley & Sons, Ltd. |
| 资助项目 | Chinese NSF[10171104] ; Chinese NSF[40233029] |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000261918100002 |
| 出版者 | JOHN WILEY & SONS LTD |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/5879]  |
| 专题 | 计算数学与科学工程计算研究所 |
| 通讯作者 | Dai, Yu-Hong |
| 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.Nanjing Univ Aeronaut & Astronaut, Coll Sci, Dept Math, Nanjing 210016, Peoples R China |
| 推荐引用方式 GB/T 7714 | Wang, Li-Ping,Dai, Yu-Hong. Left conjugate gradient method for non-Hermitian linear systems[J]. NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS,2008,15(10):891-909. |
| APA | Wang, Li-Ping,&Dai, Yu-Hong.(2008).Left conjugate gradient method for non-Hermitian linear systems.NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS,15(10),891-909. |
| MLA | Wang, Li-Ping,et al."Left conjugate gradient method for non-Hermitian linear systems".NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS 15.10(2008):891-909. |
入库方式： OAI收割
来源：数学与系统科学研究院
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