A Two-Step Matrix-Splitting Iterative Method for Solving the Generalized Absolute Value Equation

Abstract

In this paper, we present a two-step Newton-based matrix-splitting iteration method for solving the generalize absolute value equation. This method can produce a number of two-step Newton-based relaxation iteration algorithms with the right matrix-splitting options. In particular, some specific sufficient conditions are presented, when A is an H+-matrix. Finally, numerical results indicate that the two-step Newton-based relaxation iteration techniques are effective for solving the generalized absolute value equation.