Showing papers by "Zhong-Zhi Bai published in 1995"
TL;DR: The inner links between two known frameworks of multisplitting relaxation methods are revealed as completely as possible and the asymptotic convergence rates as well as the monotone convergence rates of them are compared theoretically to answer the question that which converges faster between these two frameworks.
Abstract: This paper reveals the inner links between two known frameworks of multisplitting relaxation methods as completely as possible. By meticulously investigating the specific structures of these two frameworks, the asymptotic convergence rates as well as the monotone convergence rates of them are compared theoretically. This then definitely answers the question that which converges faster between these two frameworks of parallel matrix multisplitting relaxation methods from the standpoint of pure mathematics. At last, an example further confirms the correctness of the theoretical results.
5 citations