Twostep Modulusbased Matrix Splitting Algorithms for Weakly Nonlinear Complementarity Problems

Abstract:

wostep modulusbased matrix splitting algorithms are proposed to solve weakly nonlinear complementarity problems. Convergence theory is established when the system matrix is either positive definite or an H+matrix. Moreover, the choice of the parameters for twostep modulusbased successive overrelaxation methods is also discussed. Numerical experiments show that the proposed methods are efficient and better than the modulusbased matrix splitting methods in aspects of iteration steps and CPU time.