The Convergence Analysis of Parallel Alternating Two-stage Iterative Algorithm for Linear Complementarity Problem

Abstract

In this paper, the authors first present parallel alternating two-stage iterative Algorithm some new relaxation algorithms for solving the linear complementarity problem. And then, when the coefficient matrices are monotone or H-matrices, they establish the global convergence theory of the algorithm. The algorithm has less computational complexity and quicker velocity and is especially suitable for parallel computation of large-scale problem.