CALCOLO

, Volume 32, Issue 3, pp 207–220

On the comparisons of the multisplitting unsymmetric aor methods for M-matrices

  • Zhong-Zhi Bai
Article

DOI: 10.1007/BF02575836

Cite this article as:
Bai, ZZ. Calcolo (1995) 32: 207. doi:10.1007/BF02575836

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.

Key words and phrases

Matrix multisplitting relaxation method asymptotic convergence rate monotone convergence rate 

Copyright information

© Instituto di Elaborazione della Informazione del CNR 1995

Authors and Affiliations

  • Zhong-Zhi Bai
    • 1
  1. 1.State Key Laboratory of Scientific/Engineering Computing, Institute of Computational Mathematics & Scientific/Engineering ComputingChinese Academy of SciencesBeijingP.R. China

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