Title

Matrices over differential fields which commute with their derivative

Document Type

Article

Publication Date

9-1-1993

Abstract

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

First Page

253

Last Page

261

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