基于块分裂求解线性互补问题的新模系同步多分裂方法(New modulus-based synchronous multisplitting methods based on block splitting for linear complementarity problems)

Abstract

Based on the existing algorithms,we further study relaxed modulus-based synchronous block multisplitting multi-parameters methods for linear complementarity problem. Furthermore, we give the weaker convergence results of our new method in this paper when the system matrix is a block H+-matrix. Therefore, our results provide a guarantee for the optimal relaxation parameters.

Keywords

• relaxed modulus-based method
• linear complementarity problem
• block splitting
• block h+-matrix
• synchronous multisplitting