On finite termination of the generalized Newton method for solving absolute value equations
Optimization and Control
2023-05-25 v1 Numerical Analysis
Numerical Analysis
Abstract
Motivated by the framework constructed by Brugnano and Casulli SIAM J. Sci. Comput. 30: 463--472, 2008, we analyze the finite termination property of the generalized Netwon method (GNM) for solving the absolute value equation (AVE). More precisely, for some special matrices, GNM is terminated in at most iterations. A new result for the unique solvability and unsolvability of the AVE is obtained. Numerical experiments are given to demonstrate the theoretical analysis.
Cite
@article{arxiv.2207.04492,
title = {On finite termination of the generalized Newton method for solving absolute value equations},
author = {Jia Tang and Wenli Zheng and Cairong Chen and Dongmei Yu and Deren Han},
journal= {arXiv preprint arXiv:2207.04492},
year = {2023}
}
Comments
11 pages