KMS Of Academy of mathematics and systems sciences, CAS
| Restrictively preconditioned conjugate gradient methods for systems of linear equations | |
Bai, ZZ ; Li, GQ
| |
| 2003-10-01 | |
| Source Publication | IMA JOURNAL OF NUMERICAL ANALYSIS
 |
| ISSN | 0272-4979 |
| Volume | 23Issue:4Pages:561-580 |
| Abstract | A restrictively preconditioned conjugate gradient method is presented for solving a large sparse system of linear equations. This new method originates from the classical conjugate gradient method and its restrictively preconditioned variant, and covers many standard Krylov subspace iteration methods such as the conjugate gradient, conjugate residual, CGNR, CGNE and the corresponding preconditioned variants. In particular, the new method is applied to solve the linear systems of block two-by-two structures, and consequently, special but quite efficient preconditioned conjugate gradient-like methods are obtained for these problems. Numerical computations show that the new methods are more effective than some standard preconditioned Krylov subspace methods like the preconditioned conjugate gradient and the preconditioned MINRES. |
| Keyword | nonsymmetric linear system conjugate gradient method Krylov subspace iteration preconditioning |
| Language | 英语 |
| WOS Research Area | Mathematics |
| WOS Subject | Mathematics, Applied |
| WOS ID | WOS:000186180800002 |
| Publisher | OXFORD UNIV PRESS |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/18635 |
| Collection | 计算数学与科学工程计算研究所 |
| Corresponding Author | Bai, ZZ |
| Affiliation | Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math & Sci Engn Comp, State Key Lab Sci Engn Comp, Beijing 100080, Peoples R China |
| Recommended Citation GB/T 7714 | Bai, ZZ,Li, GQ. Restrictively preconditioned conjugate gradient methods for systems of linear equations[J]. IMA JOURNAL OF NUMERICAL ANALYSIS,2003,23(4):561-580. |
| APA | Bai, ZZ,&Li, GQ.(2003).Restrictively preconditioned conjugate gradient methods for systems of linear equations.IMA JOURNAL OF NUMERICAL ANALYSIS,23(4),561-580. |
| MLA | Bai, ZZ,et al."Restrictively preconditioned conjugate gradient methods for systems of linear equations".IMA JOURNAL OF NUMERICAL ANALYSIS 23.4(2003):561-580. |
| Files in This Item: | There are no files associated with this item. | |||||
Items in the repository are protected by copyright, with all rights reserved, unless otherwise indicated.
Edit Comment