Communications on Applied Mathematics and Computation ›› 2021, Vol. 3 ›› Issue (3): 419-428.doi: 10.1007/s42967-020-00074-6

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Modulus-Based Multisplitting Iteration Method for a Class of Weakly Nonlinear Complementarity Problem

Guangbin Wang1, Fuping Tan2   

  1. 1 Department of Mathematics, Qingdao Agricultural University, Qingdao 266109, Shandong Province, China;
    2 Department of Mathematics, Shanghai University, Shanghai 200444, China
  • Received:2019-08-02 Revised:2020-04-18 Online:2021-09-20 Published:2021-09-16
  • Contact: Guangbin Wang, Fuping Tan E-mail:fptan@shu.edu.cn;wguangbin750828@sina.com
  • Supported by:
    The authors are grateful to the referees for valuable comments. This work was supported by the National Natural Science Foundation of China (Grant No. 11771275) and the Science and Technology Program of Shandong Universities (No. J16LI04).

Abstract: In this paper, we present a modulus-based multisplitting iteration method based on multisplitting of the system matrix for a class of weakly nonlinear complementarity problem. And we prove the convergence of the method when the system matrix is an H+-matrix. Finally, we give two numerical examples.

Key words: Modulus-based multisplitting method, Nonlinear complementarity problem, H-matrix

CLC Number: