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An inexact framework of the Newton-based matrix splitting (INMS) iterativemethod is developed to solve the generalized absolute value equation, whoseexact 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 linearconvergence of the INMS iterative method is investigated in detail. Somenumerical results are given to show the superiority of the INMS iterativemethod.

An inexact framework of the Newton-based matrix splitting iterative method for the generalized absolute value equation