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math.NA2025
Hermitian Quaternion Toeplitz Matrices by Quaternion-valued Generating Functions
Xue-lei Lin, Michael K. Ng, Junjun Pan
In this paper, we study Hermitian quaternion Toeplitz matrices generated by quaternion-valued functions. We show that such generating function must be the sum of a real-valued func…
math.NA2023
Block Diagonalization of Quaternion Circulant Matrices with Applications
Junjun Pan, Michael K. Ng
It is well-known that a complex circulant matrix can be diagonalized by a discrete Fourier matrix with imaginary unit . The main aim of this paper is to demonstrate tha…