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arXiv · 2207.04492

On finite termination of the generalized Newton method for solving absolute value equations

Jia Tang·Wenli Zheng·Cairong Chen·Dongmei Yu·Deren Han
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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 $2n + 2$ iterations. A new result for the unique solvability and unsolvability of the AVE is obtained. Numerical experiments are given to demonstrate the theoretical analysis.

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Jia Tang, Wenli Zheng, Cairong Chen, Dongmei Yu, Deren Han. 2022-07-10. On finite termination of the generalized Newton method for solving absolute value equations. https://doi.org/10.1007/s40314-023-02318-6

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