The improved convergence of MSMMAOR method for linear complementarity problems

Abstract

In this paper, based on the previous work by Zhang and Li [The weaker convergence of modulus-based synchronous multisplitting multi-parameters methods for linear complementarity problems, Comput Math Appl. 2014;67:1954–1959], we further discuss the modulus-based synchronous multisplitting multi-parameters AOR (MSMMAOR) method for solving the linear complementarity problems. The new convergence conditions of the MSMMAOR method are obtained, which are weaker than those of the aforementioned paper.

Keywords:

• Linear complementarity problem
• modulus-based method
• multisplitting method
• multi-parameters
• convergence

AMS Subject Classifications:

• 90C33
• 65F10
• 65F50
• 65G40

Acknowledgements

The author would like to thank Prof. Shi-Liang Wu for helpful discussion, which greatly improves the paper. The author is very much indebted to the referees for providing very useful comments and suggestions, which greatly improved the original manuscript of this paper.

Notes

No potential conflict of interest was reported by the author.

Additional information

Funding

This research was supported by NSFC [grant number 11301009]; Natural Science Foundations of Henan Province [grant number 15A110007]; Project of Young Core Instructor of Universities in Henan Province [grant number 2015GGJS-003 and 17HASTIT012].