The Solution of Absolute Value Equations Using Two New Generalized Gauss-Seidel Iteration Methods

Abstract

In this paper, we provide two new generalized Gauss-Seidel (NGGS) iteration methods for solving absolute value equations Ax − ∣x | = b, where A ∈ R^n×n, b ∈ Rⁿ, and x ∈ Rⁿ are unknown solution vectors. Also, convergence results are established under mild assumptions. Eventually, numerical results prove the credibility of our approaches.