多重网格方法进展

摘要

New interpolation operators for AMG method are given, which improve the convergence and can be effectively applied to non-diagonally dominant matrix problems. For the asymptotic convergence of AMG methods obtained, the integrated theoretical analyses are presented.%给出了多重网格方法新的插值算子,新算法不仅加速收敛,而且能有效的应用到非对角占优阵;同时还给出了其收敛性的完整理论分析.