Newton-based matrix splitting method for generalized absolute value equation

Abstract

Abstract In this paper, based on the previous published work by Wang et al. [Modified Newton-type iteration methods for generalized absolute value equations, Wang et\xa0al. (2019), by using the matrix splitting technique, Newton-based matrix splitting iterative method is established to solve the generalized absolute value equation. The proposed method not only covers the above modified Newton-type iterative method, but also generates some relaxation versions. Some convergence conditions of the proposed method with some special coefficient matrices are presented. The effectiveness and feasibility of the proposed method are confirmed by some numerical experiments.