In this paper, we reconsider two new iterative methods for solving absolute value equations (AVE), which is proposed by Ali and Pan (Jpn. J. Ind. Appl. Math. 40: 303--314, 2023). Convergence results of the two iterative schemes and new sufficient conditions for the unique solvability of AVE are presented. In addition, for a special case, the optimal iteration parameters of the two algorithms are analyzed, respectively. Numerical results demonstrate our claims.

翻译：本文重新研究了Ali与Pan（Jpn. J. Ind. Appl. Math. 40: 303--314, 2023）提出的两种求解绝对值方程（AVE）的新型迭代方法。我们给出了这两种迭代格式的收敛性结果，并提出了绝对值方程唯一可解性的新充分条件。此外，针对一种特殊情形，分别分析了两种算法的最优迭代参数。数值实验结果验证了我们的结论。