In this paper, based on the work of Ke and Ma, a modified SOR-like method is presented to solve the absolute value equations (AVE), which is gained by equivalently expressing the implicit fixed-point equation form of the AVE as a two-by-two block nonlinear equation. Under certain conditions, the convergence conditions for the modified SOR-like method are presented. The computational efficiency of the modified SOR-like method is better than that of the SOR-like method by some numerical experiments.

中文翻译：

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绝对值方程的修正SOR-like方法

本文基于Ke和Ma的工作，提出了一种改进的SOR-like方法来求解绝对值方程（AVE），该方法是通过将AVE的隐式不动点方程形式等效表示为两个来获得的。两块非线性方程。在一定条件下，给出了改进的类SOR方法的收敛条件。通过一些数值实验，改进的类SOR方法的计算效率优于类SOR方法。