Accelerated modulus-based matrix splitting iteration methods for a restricted class of nonlinear complementarity problems

作者：Li, Rui; Yin, Jun-Feng^*

来源：Numerical Algorithms, 2017, 75(2): 339-358.

DOI：10.1007/s11075-016-0243-3

• Nonlinear complementarity problems
• Accelerated modulus-based iteration methods
• Matrix splitting
• Positive definite matrix
• H+-matrix

To solve a class of nonlinear complementarity problems, accelerated modulus-based matrix splitting iteration methods are presented and analyzed. Convergence analysis and the choice of the parameters are given when the system matrix is either positive definite or an H (+)-matrix. Numerical experiments further demonstrate that the proposed methods are efficient and have better performance than the existing modulus-based iteration method in aspects of the number of iteration steps and CPU time.

• 出版日期2017-6
• 单位嘉兴学院; 同济大学