2 papers
math.RA2022
The general solutions to some systems of Sylvester-type quaternion matrix equations with an application
Qing-Wen Wang, Long-Sheng Liu
Sylvester-type matrix equations have applications in areas including control theory, neural networks, and image processing. In this paper, we establish the necessary and sufficient…
math.RA2021
A Sylvester-type matrix equation over the Hamilton quaternions with an application
Long-Sheng Liu, Qing-Wen Wang, Mahmoud Saad Mehany
We derive the solvability conditions and a formula of a general solution to a Sylvester-type matrix equation over Hamilton quaternions. As an application, we investigate the necess…