A note on parallel multisplitting TOR method for H-matrices

  • Authors:

  • Li-Tao Zhang;Ting-Zhu Huang;Shao-hua Cheng;Tong-Xiang Gu;Yan-Ping Wang

  • Affiliations:

  • Department of Mathematics and Physics, Zhengzhou Institute of Aeronautical Industry Management, Zhengzhou, Henan, China;School of Applied Mathematics, University of Electronic Science and Technology of China, Chengdu, Sichuan, China;Department of Mathematics and Physics, Zhengzhou Institute of Aeronautical Industry Management, Zhengzhou, Henan, China;Laboratory of Computationary Physics, Beijing, China;Department of Mathematics and Physics, Zhengzhou Institute of Aeronautical Industry Management, Zhengzhou, Henan, China

  • Venue:
  • International Journal of Computer Mathematics
  • Year:
  • 2011

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Abstract

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.