TY - JOUR T1 - H-Splittings and Asynchronous Parallel Iterative Methods JO - Journal of Computational Mathematics VL - 2 SP - 97 EP - 104 PY - 1997 DA - 1997/04 SN - 15 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jcm/9192.html KW - AB -

The paper discusses $H$-splitting and $H$-compatible splitting, furthermore, some properties are given. Asynchronous parallel multisplitting algorithm and its generalization for linear systems $Ax=b$ are established. Convergence of these algorithms is proved under given conditions. The convergent range of relaxation factor $\omega$ is given, numerical example is shown.