An inexact framework of the Newton-based matrix splitting iterative method for the generalized absolute value equation
Numerical Analysis
2024-12-17 v2 Numerical Analysis
Optimization and Control
Abstract
An inexact framework of the Newton-based matrix splitting (INMS) iterative method is developed to solve the generalized absolute value equation, whose exact version was proposed by Zhou, Wu and Li [H.-Y. Zhou, S.-L. Wu and C.-X. Li, \textit{J. Comput. Appl. Math.}, 394 (2021), 113578]. Global linear convergence of the INMS iterative method is investigated in detail. Some numerical results are given to show the superiority of the INMS iterative method.
Keywords
Cite
@article{arxiv.2103.10129,
title = {An inexact framework of the Newton-based matrix splitting iterative method for the generalized absolute value equation},
author = {Dongmei Yu and Cairong Chen and Deren Han},
journal= {arXiv preprint arXiv:2103.10129},
year = {2024}
}
Comments
15 pages, 4 tables