A Class Of Preconditioned Modulus-based Iteration Method For Solving Horizontal Linear Complementarity Problems

Based on the modulus-based matrix splitting iteration method proposed by Francesco et al.for the horizontal linear complementarity problems（Numerical Algorithms 83（2020））.In this paper,the general modulus-based matrix splitting iteration method is firstly put forth,and then the preconditioned general modulus-based matrix splitting iteration method is further proposed by utilizing the preconditioner.When the coef-ficient matrices are either both（symmetric）positive definite or both₊-matrices,the convergence conditions of the preconditioned general modulus-based matrix splitting iter-ation method are obtained.Numerical experiments show that the preconditioned general modulus-based matrix splitting iteration method has better numerical performance than Francesco’s modulus-based matrix splitting iteration method and the general modulus-based matrix splitting iteration method.