New modulus-based matrix splitting methods for implicit complementarity problem

In this paper, based on the published works by Bai and Tong (J. Univ. Electr. Sci. Tech. China 22:420-424, 1993) and Bai and Huang (J. Univ. Electr. Sci. Tech. China 23:428-432, 1994), we design a class of new modulus-based matrix splitting methods for solving the implicit complementarity problem (ICP) by a new equivalent fixed-point form of the ICP. Some sufficient conditions to guarantee the convergence of the proposed method are presented. Numerical examples are offered to show the efficiency of the proposed method.

Automated summary

In this paper, a new modulus-based matrix splitting method is proposed for solving the implicit complementarity problem. The convergence of the method is guaranteed under certain conditions, which are presented in the paper. Numerical examples demonstrate the efficiency of the proposed method.