2 papers
math.RA2024
The generalized hand-eye calibration matrix equation over dual quaternions
LvMing Xie, QingWen Wang, ZhuoHeng He
In the field of robotics research, a crucial applied problem is the hand-eye calibration issue, which involves solving the matrix equation . However, this matrix equation…
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…