An Inexact Framework of the Newton-Based Matrix Splitting Iterative Method for the Generalized Absolute Value Equation

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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 [ J. Comput. Appl. Math., 394, 2021]. 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:

Generalized absolute value equation Newton-based matrix splitting method inexact iterative method linear convergence.
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DOI

10.4208/csiam-am.SO-2022-0013

How to Cite

An Inexact Framework of the Newton-Based Matrix Splitting Iterative Method for the Generalized Absolute Value Equation. (2024). CSIAM Transactions on Applied Mathematics, 5(4), 835-851. https://doi.org/10.4208/csiam-am.SO-2022-0013