CSpace  > 计算数学与科学工程计算研究所
Restrictively preconditioned conjugate gradient methods for systems of linear equations
Bai, ZZ; Li, GQ
AbstractA 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.
Keywordnonsymmetric linear system conjugate gradient method Krylov subspace iteration preconditioning
WOS Research AreaMathematics
WOS SubjectMathematics, Applied
WOS IDWOS:000186180800002
Citation statistics
Document Type期刊论文
Corresponding AuthorBai, ZZ
AffiliationChinese 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.
Related Services
Recommend this item
Usage statistics
Export to Endnote
Google Scholar
Similar articles in Google Scholar
[Bai, ZZ]'s Articles
[Li, GQ]'s Articles
Baidu academic
Similar articles in Baidu academic
[Bai, ZZ]'s Articles
[Li, GQ]'s Articles
Bing Scholar
Similar articles in Bing Scholar
[Bai, ZZ]'s Articles
[Li, GQ]'s Articles
Terms of Use
No data!
Social Bookmark/Share
All comments (0)
No comment.

Items in the repository are protected by copyright, with all rights reserved, unless otherwise indicated.