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Free (rational) derivation

  • K. Schrempf [1]
    1. [1] Austrian Academy of Sciences

      Austrian Academy of Sciences

      Innere Stadt, Austria

  • Localización: Extracta mathematicae, ISSN-e 0213-8743, Vol. 36, Nº 1, 2021, págs. 25-50
  • Idioma: inglés
  • DOI: 10.17398/2605-5686.36.1.25
  • Enlaces
  • Resumen
    • 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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