New Estimates for the Rate of Convergence of the Method of Subspace Corrections  

作　　者：Durkbin Cho Jinchao Xu Ludmil Zikatanov 

机构地区：[1]Department of Mathematics, The Pennsylvania State University, University Park, PA 16802, USA [2]Laboratory of Pure and Applied Mathematics, School of Mathematical Sciences, Peking University, Beijing 100871, China

出　　处：《Numerical Mathematics(Theory,Methods and Applications)》2008年第1期44-56,共13页高等学校计算数学学报（英文版）

摘　　要：We discuss estimates for the rate of convergence of the method of successive subspace corrections in terms of condition number estimate for the method of parallel subspace corrections.We provide upper bounds and in a special case,a lower bound for preconditioners defined via the method of successive subspace corrections.We discuss estimates for the rate of convergence of the method of successive subspace corrections in terms of condition number estimate for the method of parallel subspace corrections. We provide upper bounds and in a special case, a lower bound for preconditioners defined via the method of successive subspace corrections.

关 键 词：Method of subspace corrections preconditioning convergence rate of linear iterative method 

分 类 号：O241[理学—计算数学]