  In this article, we establish a class of new accelerated modulus-based
iteration methods for solving the linear complementarity problem. When the
system matrix is an $H_+$-matrix, we present appropriate criteria for the
convergence analysis. Also, we demonstrate the effectiveness of our proposed
method and reduce the number of iterations and CPU time to accelerate the
convergence performance by providing two numerical examples for various
parameters.
  Keywords. Linear complementarity problem, Iteration method, $P$-matrix,
$H_{+}$-matrix, Convergence analysis, Matrix splitting.
