Free (rational) Derivation

Published 14 Dec 2020 in math.RA | (2012.07398v2)

Abstract: By representing elements in free fields (over a commutative field and a finite alphabet) using Cohn and Reutenauer's linear representations, we provide an algorithmic construction for the (partial) non-commutative (or Hausdorff-) derivative and show how it can be applied to the non-commutative version of the Newton iteration to find roots of matrix-valued rational equations.

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Authors (1)

Konrad Schrempf

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