A class of maximum-based iteration methods for the generalized absolute value equation

Shiliang Wu; Deren Han; Cuixia Li

A class of maximum-based iteration methods for the generalized absolute value equation

Numerical Analysis 2024-04-19 v1 Numerical Analysis

Authors: Shiliang Wu , Deren Han , Cuixia Li

Abstract

In this paper, by using $|x|=2\max\{0,x\}-x$ , a class of maximum-based iteration methods is established to solve the generalized absolute value equation $Ax-B|x|=b$ . Some convergence conditions of the proposed method are presented. By some numerical experiments, the effectiveness and feasibility of the proposed method are confirmed.

Cite

@article{arxiv.2404.11822,
  title  = {A class of maximum-based iteration methods for the generalized absolute value equation},
  author = {Shiliang Wu and Deren Han and Cuixia Li},
  journal= {arXiv preprint arXiv:2404.11822},
  year   = {2024}
}

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