In this paper, by using $|x|=2\max\{0,x\}-x$, a class of maximum-based iteration methods is established to solve the generalized absolute value equation $Ax-B|x|=b$. Some convergence conditions of the proposed method are presented. By some numerical experiments, the effectiveness and feasibility of the proposed method are confirmed.

翻译：本文利用 $|x|=2\max\{0,x\}-x$ 建立了一类最大值型迭代方法，用于求解广义绝对值方程 $Ax-B|x|=b$。给出了所提方法的一些收敛条件。通过数值实验，验证了所提方法的有效性与可行性。