This paper proposes three novel accelerated inverse-free neurodynamic approaches to
solve absolute value equations (AVEs). The first two are finite-time converging approaches …

This paper provides a thorough exploration of the absolute value equations $ Ax-| x|= b $, a
seemingly straightforward concept that has gained heightened attention in recent years. It is …

In this paper, we propose an SOR-like iteration method for solving the absolute value
equation (AVE), which is obtained by reformulating equivalently the AVE as a two-by-two …

In this paper, a new iteration algorithm is proposed for the absolute value equation. The
convergence of the proposed algorithm is studied under suitable assumptions. Moreover …

In this paper, an inverse-free dynamical system is built to solve the absolute value equations
(AVEs), whose equilibrium points coincide with the solutions of the AVEs. Under proper …

In this paper, we present two new generalized Gauss-Seidel iteration methods for solving
absolute value equations Ax−| x|= b, where A is an M-matrix. Furthermore, we demonstrate …

In this paper, by separating the differential and the non-differential parts of the generalized
absolute value equations, a class of modified Newton-type iteration methods are proposed …

In this paper, we reformulate the NP-hard problem of the absolute value equation (AVE) as a
horizontal linear complementarity one and then solve it using a smoothing technique. This …

A novel approach for solving the general absolute value equation A x+ B| x|= c where A, B∈
IR m× n and c∈ IR m is presented. We reformulate the equation as a nonconvex feasibility …

Many problems in operations research, management science, and engineering fields lead to
the solution of absolute value equations. In this study, we propose two new iteration …