A note on parallel multisplitting TOR method for H-matrices

作者:Zhang, Li-Tao*; Huang, Ting-Zhu; Cheng, Shao-hua; Gu, Tong-Xiang; Wang, Yan-Ping
来源:International Journal of Computer Mathematics, 2011, 88(3): 501-507.
DOI:10.1080/00207160903501917

摘要

In 2001, Chang studied the convergence of parallel multisplitting TOR method for H-matrices [D.W. Chang, The parallel multisplitting TOR(MTOR) method for linear systems, Comput. Math. Appl. 41 (2001), pp. 215-227]. In this paper, we point out some gaps in the proof of Chang's main results solving them. Moreover, we improve some of Chang's convergence results. A numerical example is presented in order to illustrate the improvement of Chang's convergence region.