Journal of Shanghai University(Natural Science Edition) ›› 2022, Vol. 28 ›› Issue (6): 1106-1112.doi: 10.12066/j.issn.1007-2861.2346

• Research Articles • Previous Articles    

Accelerated two-step modulus-based matrix splitting iteration method to solve the nonlinear complementarity problem

CHENG Bing1, WANG Guangbin1, TAN Fuping2()   

  1. 1. School of Science and Information, Qingdao Agricultural University, Qingdao 266109, Shandong, China
    2. College of Sciences, Shanghai University, Shanghai 200444, China
  • Received:2021-04-08 Online:2022-12-30 Published:2023-01-31
  • Contact: TAN Fuping E-mail:fptan@shu.edu.cn

Abstract:

In this paper, we construct an accelerated two-step modulus-based matrix splitting iteration method based on multiple splittings of the system matrix for the nonlinear complementarity problem. And we prove its convergence when the system matrix is an H-matrix with positive diagonal elements. Numerical experiments show that the proposed method is efficient.

Key words: two-step iteration method, matrix splitting, nonlinear complementarity

CLC Number: