English

A generalization of the Gauss-Seidel iteration method for generalized absolute value equations

Numerical Analysis 2025-05-05 v1 Numerical Analysis

Abstract

A parameter-free method, namely the generalization of the Gauss-Seidel (GGS) method, is developed to solve generalized absolute value equations. Convergence of the proposed method is analyzed. Numerical results are given to demonstrate the effectiveness and efficiency of the GGS method. Some results in the recent work of Edalatpour et al. \cite{edhs2017} are extended.

Keywords

Cite

@article{arxiv.2505.01293,
  title  = {A generalization of the Gauss-Seidel iteration method for generalized absolute value equations},
  author = {Tingting Luo and Jiayu Liu and Cairong Chen and Linjie Chen and Changfeng Ma},
  journal= {arXiv preprint arXiv:2505.01293},
  year   = {2025}
}

Comments

19 pages

R2 v1 2026-06-28T23:19:17.250Z