Convergence improvement of relaxed multisplitting USAOR methods for H-matrices linear systems

In this paper, based on local relaxed parallel multisplitting USAOR (LUSAOR) method presented by Zhang et al. (2008) and similar ideas used by Zhang and Li (2014), we further analyze local relaxed parallel multisplitting USAOR (LUSAOR) method and obtain the better convergence results compared to Zhang et al.'s when the system matrix is an H-matrix. Moreover, convergence graph and numerical examples clearly show that our new convergence domain is wider.