Least Squares Skew Bisymmetric Solution for a Kind of Quaternion Matrix Equation
In this paper, by using the Kronecker product of matrices and the complex representation of quaternion matrices, we discuss the special structure of quaternion skew bisymmetric matrices, and derive the expression of the least squares skew bisymmetric solution of the quaternion matrix equation AXB =C with the least norm.
Shaobo Zhong, Yimin Cheng and Xilong Qu
S. F. Yuan and H. D. Cao, "Least Squares Skew Bisymmetric Solution for a Kind of Quaternion Matrix Equation", Applied Mechanics and Materials, Vols. 50-51, pp. 190-194, 2011