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Section B

A note on parallel multisplitting TOR method for H-matrices

, , , &
Pages 501-507 | Received 27 Sep 2008, Accepted 19 Nov 2009, Published online: 04 Dec 2010
 

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.

2000 AMS Subject Classifications :

Acknowledgements

The authors would like to thank the referees and the Editor for their helpful and detailed suggestions for revising this manuscript. This research was supported by NSFC (60973015) and Sichuan Province Sci. & Tech. Research Project (2008JY0052), the Aeronautical Science Foundation of China (2008ZE55004). In particular, the fourth author was supported by NSFC (60973151) and (60533020).

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