Singular Value Decomposition of Dual Split Quaternion Matrix and Its Algorithm

In the theoretical study of dual split quaternions, the singular value decomposition of dual split quaternion matrix plays an important role. In this paper, we propose the dual number matrix representation of dual split quaternion and give the theory of singular value decomposition of the dual split quaternion matrix under ‐conjugate transpose. Using the special properties of this representation, we transform the singular value problem of the dual split quaternion matrix into the corresponding problem of the dual number matrix and give an algorithm and some numerical experiments.