NSSC OpenIR  > 空间科学部
Notes on convergence of an algebraic multigrid method
Huang CH(黄朝晖); Shi, P. L.; 北京8701信箱
Source PublicationApplied Mathematics Letters
KeywordAlgebraic Multigrid Interpolation Operator Convergence Matrix Analysis Sparse Approximate Inverse Algorithms Amge
AbstractThe convergence theory for algebraic multigrid (AMG) algorithms proposed in Chang and Huang [Q.S. Chang, Z.H. Huang, Efficient algebraic multigrid algorithms and their convergence, SIAM J. Sci. Comput. 24 (2002) 597-618] is further discussed and a smaller and elegant upper bound is obtained. On the basis of element-free AMGe [VE. Henson, P.S. Vassilevski, Element-free AMGe: General algorithms for computing interpolation weights in AMG, SIAM J. Sci. Comput. 23(2) (2001) 629-650] we rewrite the interpolation operator for the classical AMG (cAMG), present a uniform expression and then, by introducing a sparse approximate inverse in the Frobenius norm, give a general convergence theorem which is suited for not only cAMG but also AMG for finite elements and element-free AMGe.
Indexed BySCI
Funding Project中国科学院空间科学与应用研究中心
Document Type期刊论文
Corresponding Author北京8701信箱
Recommended Citation
GB/T 7714
Huang CH,Shi, P. L.,北京8701信箱. Notes on convergence of an algebraic multigrid method[J]. Applied Mathematics Letters,2007,20(3):335-340.
APA 黄朝晖,Shi, P. L.,&北京8701信箱.(2007).Notes on convergence of an algebraic multigrid method.Applied Mathematics Letters,20(3),335-340.
MLA 黄朝晖,et al."Notes on convergence of an algebraic multigrid method".Applied Mathematics Letters 20.3(2007):335-340.
Files in This Item: Download All
File Name/Size DocType Version Access License
2007203335.pdf(151KB) 开放获取CC BY-NC-SAView Download
Related Services
Recommend this item
Usage statistics
Export to Endnote
Google Scholar
Similar articles in Google Scholar
[黄朝晖]'s Articles
[Shi, P. L.]'s Articles
[北京8701信箱]'s Articles
Baidu academic
Similar articles in Baidu academic
[黄朝晖]'s Articles
[Shi, P. L.]'s Articles
[北京8701信箱]'s Articles
Bing Scholar
Similar articles in Bing Scholar
[黄朝晖]'s Articles
[Shi, P. L.]'s Articles
[北京8701信箱]'s Articles
Terms of Use
No data!
Social Bookmark/Share
File name: 2007203335.pdf
Format: Adobe PDF
This file does not support browsing at this time
All comments (0)
No comment.

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