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math.GM2014★ 129 cited
The Theory of Quaternion Matrix Derivatives
Dongpo Xu, Danilo P. Mandic
A systematic theory is introduced for calculating the derivatives of quaternion matrix function with respect to quaternion matrix variables. The proposed methodology is equipped wi…
math.GM2014★ 125 cited
Quaternion Derivatives: The GHR Calculus
Dongpo Xu, Cyrus Jahanchahi, Clive C. Took +1
Quaternion derivatives in the mathematical literature are typically defined only for analytic (regular) functions. However, in engineering problems, functions of interest are often…