Answers are grounded in this paper and cite their sources.
In this paper, we extend the Chen and Moore determinants of quaternion Hermitian matrices to dual quaternion Hermitian matrices. We show the Chen determinant of dual quaternion Hermitian matrix is invariant under the addition, switching, multiplication, and unitary operations at the both hand sides. We then show the Chen and Moore determinants are equal to each other, and they are also equal to the products of eigenvalues. The characteristic polynomial of a dual quaternion Hermitian matrix is also studied.
No takes yet. Share an insight, caveat, or question.
Cui et al. (2024) studied this question.
Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context: