Article contents
Higher Derivations and the Jordan Canonical Form of the Companion Matrix
Published online by Cambridge University Press: 20 November 2018
Extract
The purpose of this note is to give a basis with respect to which the companion matrix of an equation (over a field of any characteristic) is in Jordan canonical form.
Let k be a field. Define a k-linear map Di:k[X]→k[X] by where the integer is the binomial coefficient n!;/i!;(n —i)!;. We adopt the usual convention that if i>9 or j<0. Then D=(D0, D1D2,…) is a higher derivation (see [1, p. 192]).
- Type
- Research Article
- Information
- Copyright
- Copyright © Canadian Mathematical Society 1972
References
- 3
- Cited by