A generalization of the Newton-based matrix splitting iteration method for generalized absolute value equations
Numerical Analysis
2024-12-17 v1 Numerical Analysis
Optimization and Control
Abstract
A generalization of the Newton-based matrix splitting iteration method (GNMS) for solving the generalized absolute value equations (GAVEs) is proposed. Under mild conditions, the GNMS method converges to the unique solution of the GAVEs. Moreover, we can obtain a few weaker convergence conditions for some existing methods. Numerical results verify the effectiveness of the proposed method.
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Cite
@article{arxiv.2309.09520,
title = {A generalization of the Newton-based matrix splitting iteration method for generalized absolute value equations},
author = {Xuehua Li and Cairong Chen},
journal= {arXiv preprint arXiv:2309.09520},
year = {2024}
}
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16 pages