Improved convergence theorems of multisplitting methods for the linear complementarity problem

摘要

In 1999, Bai (1999) [1] studied the convergence of the multisplitting methods for solving the large sparse linear complementarity problems (LCP) presented by Machida et al. (1995) [22] when the system matrix is an H+-matrix. In this paper, based on the multisplitting methods by Bai, we get a weaker convergent result for solving the linear complementarity problem when the system matrix is an H+-matrices. Moreover, we drew a map show that our convergence theories extend the scope of multisplitting methods by Bai in applications.