Notes on convergence of an algebraic multigrid method
文献类型：期刊论文
| 作者 | Huang CH(黄朝晖) ; Shi, P. L. |
| 刊名 | Applied Mathematics Letters
 |
| 出版日期 | 2007 |
| 卷号 | 20期号:3页码:335-340 |
| 关键词 | algebraic multigrid interpolation operator convergence matrix analysis sparse approximate inverse algorithms amge |
| ISSN号 | 0893-9659 |
| 通讯作者 | 北京8701信箱 |
| 英文摘要 | The 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. |
| 学科主题 | 空间物理 |
| 收录类别 | SCI |
| 原文出处 | http://www.sciencedirect.com/science?_ob=MImg&_imagekey=B6TY9-4KH47RT-3-50&_cdi=5613&_user=1999492&_orig=search&_coverDate=03%2F31%2F2007&_sk=999799996&view=c&wchp=dGLzVtz-zSkWA&md5=72a255e716729ae227f442484980b61a&ie=/sdarticle.pdf |
| 语种 | 英语 |
| 源URL | [http://ir.cssar.ac.cn/handle/122/1081]  |
| 专题 | 国家空间科学中心_空间科学部 |
| 推荐引用方式 GB/T 7714 | Huang CH,Shi, P. L.. Notes on convergence of an algebraic multigrid method[J]. Applied Mathematics Letters,2007,20(3):335-340. |
| APA | 黄朝晖,&Shi, P. L..(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. |
入库方式： OAI收割
来源：国家空间科学中心
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