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 [H.-Y. Zhou, S.-L. Wu and C.-X. Li, \textit{J. Comput. Appl. Math.}, 394 (2021), 113578]. 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.

翻译：以牛顿为基础的矩阵分割迭代法的精确框架正在开发,以解决普遍绝对值方程,其确切版本由周、吴和李[H-Y. Zhou、S-L. Wu和C-X. Li,\textit{J.Comput. Appl. Math.},394(2021)和113578]提出,详细调查了基于牛顿的矩阵分割迭代法的全球线性趋同情况,并给出了一些数字结果,以显示INMS迭代法的优越性。