A Note on the Paper "The unique solution of the absolute value equations"

TL;DR

This note revises the conditions for unique solvability of absolute value equations, correcting errors in a previously published paper by Wu et al. to clarify the theoretical understanding.

Contribution

It provides corrected and clarified conditions for the unique solution of absolute value equations, addressing errors in prior research.

Findings

Corrected the conditions for unique solvability of absolute value equations

Identified and fixed errors in Wu et al.'s published results

Enhanced theoretical understanding of absolute value equations

Abstract

In this note, we give the possible revised version of the unique solvability conditions for the two incorrect results that appeared in the published paper by Wu et al. (Appl Math Lett 76:195-200, 2018).