ICCG法误差阵模与条件数的估计  

AN ESTIMATION OF ‖R p‖ ∞ AND CONDITION NUMBER FOR ICCG METHOD

作　　者：雷光耀[1] 黄朝晖[1] 

机构地区：[1]中国科学院应用数学所

出　　处：《计算物理》1996年第4期489-495,共7页Chinese Journal of Computational Physics

摘　　要：针对模型问题，应用高阶近似ＬＵ分解的方法，对常用的ＩＣＣＧ法给出了其预处理阵的表达式，并估计了误差阵的无穷模。在此基础上给出了ＩＣＣＧ法在三种情形下条件数的上限。在不同节点数的情形下。Using a model problem and the method of high order approximate LU dicomposition, the preconditioning matrices of ICCG are given and the ‖R p‖ ∞ is also estimated. Based on these results, the upper bound of condition numbers of ICCG (s,t) when (s,t)=(1,1),(1,2) and (1,3) are given respectively. For different mesh sizes, the computed results are compared with the theoretical results of this paper.

关 键 词：ICCG法 高阶近似 LU分解 线性代数方程 

分 类 号：O241[理学—计算数学]