431 citations · 1.2k across the 27 of their papers we have counts for
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math.NA2006★ 95 cited
Fast complexified quaternion Fourier transform
Salem Said, Nicolas Le Bihan, Stephen J. Sangwine
A discrete complexified quaternion Fourier transform is introduced. This is a generalization of the discrete quaternion Fourier transform to the case where either or both of the si…
math.NA2006★ 84 cited
Quaternion Singular Value Decomposition based on Bidiagonalization to a Real Matrix using Quaternion Householder Transformations
Stephen J. Sangwine, Nicolas Le Bihan
We present a practical and efficient means to compute the singular value decomposition (svd) of a quaternion matrix A based on bidiagonalization of A to a real bidiagonal matrix B…