In this paper, we present the Picard-HSS-SOR iteration method for finding the solution of the absolute value equation (AVE), which is more efficient than the Picard-HSS iteration method for AVE. The convergence results of the Picard-HSS-SOR iteration method are proved under certain assumptions imposed on the involved parameter. Numerical experiments demonstrate that the Picard-HSS-SOR iteration method for solving absolute value equations is feasible and effective.

中文翻译：

---

绝对值方程的Picard-HSS-SOR迭代方法

在本文中，我们提出了Picard-HSS-SOR迭代方法来查找绝对值方程（AVE）的解，该方法比AVE的Picard-HSS迭代方法更有效。Picard-HSS-SOR迭代方法的收敛结果在对所涉及参数施加某些假设的情况下得到了证明。数值实验表明，用Picard-HSS-SOR迭代法求解绝对值方程是可行和有效的。