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arXiv · 2012.07398

Free (rational) Derivation

Konrad Schrempf
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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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BibTeXRIS

Konrad Schrempf. 2021-06-23. Free (rational) Derivation. https://doi.org/10.17398/2605-5686.36.1.25

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