| New Estimates for the Rate of Convergence of the Method of Subspace Corrections |
| |
| 作者单位： | Department of Mathematics The Pennsylvania State University University Park，PA 16802，USA.，Department of Mathematics The Pennsylvania State University，University Park，PA 16802，USA. |
| |
| 基金项目： | 国家自然科学基金，Center for Computational Mathematics and Applications |
| |
| 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.
|
| 关 键 词： | 子空间 预处理 收敛函数 反复体 |
New Estimates for the Rate of Convergence of the Method of Subspace Corrections |
| |
| Authors: | Durkbin Cho Jinchao Xu Ludmil Zikatanov |
| |
| Institution: | 1. Department of Mathematics, The Pennsylvania State University, University Park,PA 168O2, USA.
2. Department of Mathematics, The Pennsylvania State University, University Park,PA 168O2, USA;Laboratory of Pure and Applied Mathematics, School of Mathematical Sciences,Peking University, Beijing 100871, China |
| |
| Abstract: | 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. |
| |
| Keywords: | Method of subspace corrections preconditioning convergence rate of linear iterative method |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
