Restrictive preconditioners for conjugate gradient methods for symmetric positive definite linear systems
文献类型：期刊论文
| 作者 | Bai, ZZ ; Wang, ZQ
|
| 刊名 | JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
 |
| 出版日期 | 2006-03-15 |
| 卷号 | 187期号:2页码:202-226 |
| 关键词 | linear system block two-by-two matrix symmetric positive definite matrix restrictive preconditioner conjugate gradient method |
| ISSN号 | 0377-0427 |
| DOI | 10.1016/j.cam.2005.03.044 |
| 英文摘要 | The restrictively preconditioned conjugate gradient (RPCG) method for solving large sparse system of linear equations of a symmetric positive definite and block two-by-two coefficient matrix is further studied. In fact, this RPCG method is essentially the classical preconditioned conjugate gradient (PCG) method with a specially structured preconditioner. Within this setting, we present algorithmic descriptions of two restrictive preconditioners that, respectively, employ the block Jacobi and the block symmetric Gauss-Seidel matrix splitting matrices as approximations to certain matrices involved in them, and give convergence analyses of the correspondingly induced two PCG methods. Numerical results show that these restrictive preconditioners can lead to practical and effective PCG methods for solving large sparse systems of linear equations of symmetric positive definite and block two-by-two coefficient matrices. (c) 2005 Elsevier B.V. All rights reserved. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000233952800005 |
| 出版者 | ELSEVIER SCIENCE BV |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/3656]  |
| 专题 | 计算数学与科学工程计算研究所 |
| 通讯作者 | Bai, ZZ |
| 作者单位 | Chinese Acad Sci, State Key Lab Sci, Inst Computat Math & Sci Engn, Acad Math & Syst Sci, Beijing 100080, Peoples R China |
| 推荐引用方式 GB/T 7714 | Bai, ZZ,Wang, ZQ. Restrictive preconditioners for conjugate gradient methods for symmetric positive definite linear systems[J]. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS,2006,187(2):202-226. |
| APA | Bai, ZZ,&Wang, ZQ.(2006).Restrictive preconditioners for conjugate gradient methods for symmetric positive definite linear systems.JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS,187(2),202-226. |
| MLA | Bai, ZZ,et al."Restrictive preconditioners for conjugate gradient methods for symmetric positive definite linear systems".JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS 187.2(2006):202-226. |
入库方式： OAI收割
来源：数学与系统科学研究院
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