H－分裂与并行算法

H-Splitting and Parallel Methods

本文对Ｈ－分裂、相容Ｈ分裂做了进一步讨论，给出了一些性质，并在这两种分裂基础上建立了多重分裂的并行算法，证明了算法的收敛性和收敛速度，并给出了数值例子。

Abstract This paper discusses H-splitting and compatible H-splitting furthermore, some properties are given. Parallel multisplitting algorithms for linear systems Ax = b are established. Convergences of the algorithms are proved under given conditions.