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 | |
发表期刊 | IMA JOURNAL OF NUMERICAL ANALYSIS |
ISSN | 0272-4979 |
卷号 | 23期号:4页码:561-580 |
摘要 | 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. |
关键词 | nonsymmetric linear system conjugate gradient method Krylov subspace iteration preconditioning |
语种 | 英语 |
WOS研究方向 | Mathematics |
WOS类目 | Mathematics, Applied |
WOS记录号 | WOS:000186180800002 |
出版者 | OXFORD UNIV PRESS |
引用统计 | |
文献类型 | 期刊论文 |
条目标识符 | http://ir.amss.ac.cn/handle/2S8OKBNM/18635 |
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, Acad Math & Syst Sci, Inst Computat Math & Sci Engn Comp, State Key Lab Sci Engn Comp, Beijing 100080, Peoples R China |
推荐引用方式 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. |
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