New sufficient conditions for the solvability of a new class of Sylvester-like absolute value matrix equation

Abstract

In this article, some new sufficient conditions for the unique solvability of a new class of Sylvester-like absolute value matrix equation \(AXB - \vert CXD \vert =F\) are given. This work is distinct from the published work by Li [Journal of Optimization Theory and Application, 195(2), 2022]. Some new conditions were also obtained, which were not covered by Li. We also provided an example in support of our result.

Keywords

• New class of Sylvester-like Absolute value matrix equation
• Sufficient condition
• Unique solution