Convergence analysis of modulus-based matrix splitting iterative methods for implicit complementarity problems

Abstract

Abstract In this paper, we demonstrate a complete version of the convergence theory of the modulus-based matrix splitting iteration methods for solving a class of implicit complementarity problems proposed by Hong and Li (Numer. Linear Algebra Appl. 23:629-641, 2016). New convergence conditions are presented when the system matrix is a positive-definite matrix and an H + $H_{+}$ -matrix, respectively.

Keywords

• implicit complementarity problem
• matrix splitting
• modulus-based iterative method
• convergence