Matrices over differential fields which commute with their derivative
A theorem is proved concerning the diagonalizability of a matrix over a differential field by means of a similarity transformation from the field of constants of the differential field. This result contains, as a special case, known results concerning the diagonalizability over the complex numbers of a Hermitian matrix of analytic functions under the hypothesis that the matrix commutes with its derivative. © 1993.
Publication Source (Journal or Book title)
Linear Algebra and Its Applications
Adkins, W., Evard, J., & Guralnick, R. (1993). Matrices over differential fields which commute with their derivative. Linear Algebra and Its Applications, 190 (C), 253-261. https://doi.org/10.1016/0024-3795(93)90230-L