Improved convergence theorems of the two-step modulus-based matrix splitting and synchronous multisplitting iteration methods for solving linear complementarity problems

Abstract

In this paper, the convergence conditions of the two-step modulus-based matrix splitting and synchronous multisplitting iteration methods for solving linear complementarity problems of H-matrices are weakened. The convergence domain given by the proposed theorems is larger than the existing ones.

Keywords:

• Linear complementarity problem
• two-step modulus-based method
• synchronous multisplitting
• H-splitting

AMS Subject Classifications:

• 65F10
• 90C33

Acknowledgements

The authors would like to thank the referees for the helpful comments.

Notes

No potential conflict of interest was reported by the authors.

Additional information

Funding

The work was supported by the National Natural Science Foundation of China [grant number 11601340]; University of Macau [grant number MYRG2017-00098-FST]; Macao Science and Technology Development Fund [grant number 050/2017/A]; the Opening Project of Guangdong High Performance Computing Society [grant number 2017060108]; the Opening Project of Guangdong Provincial Engineering Technology Research Center for Data Sciences [grant number 2016KF11] and Science and Technology Planning Project of Shaoguan [grant number SHAOKE [2016]44/15].