Drazin, PG

Tourigny, YJM

The analogy between the expansion of a real number as a continued fraction and the summation of a formal power series by means of Pade approximants is studied. The elementary dynamics of the map analogous to the well-known Gauss map of the remainder for the expression of a real number as a continued fraction is thereby developed.The analogy between the expansion of a real number as a continued fraction and the summation of a formal power series by means of Pade approximants is studied. The elementary dynamics of the map analogous to the well-known Gauss map of the remainder for the expression of a real number as a continued fraction is thereby developed

The dynamics of Padé approximation

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