  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.
