On the Convergence of Two-Step Modulus-Based Matrix Splitting Iteration Methods for a Restricted Class of Nonlinear Complementarity Problems with H+-Matrices

摘要

We propose the two-step modulus-based matrix splitting iteration methods for a class of nonlinear complementarity problems.The corresponding convergence theory is established when the system matrix is an H+-matrix.Theoretical analysis gives the choice of parameter matrix involved based on the H-compatible splitting of the system matrix.Moreover,in actual implementation,the choices of iterative parameters for two-step modulus-based accelerated overrelaxation methods are studied.Numerical experiments show that the method is efficient and further verify the convergence theorems.