Abstract In this paper, by constructing equivalently the absolute value equation (AVE) as the new block equation of two-by-two, we present a new SOR-like (NSOR) method for solving the AVE. The convergence and optimal parameters of NSOR method for solving the AVE are studied in detail. Numerical experiments are presented to show that the NSOR method is implementable and efficient.

中文翻译：

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求解绝对值方程的一种新的类 SOR 方法

摘要 本文通过等价构造绝对值方​​程（AVE）作为新的二乘二分块方程，我们提出了一种新的类SOR（NSOR）方法来求解AVE。详细研究了NSOR方法求解AVE的收敛性和最优参数。数值实验表明NSOR方法是可实现的和有效的。