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A note on a recent result of rational approximations to the exponential function

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Abstract

In a recent paper by Nørsett and Wolfbrandt [1] it is shown that the maximum attainable order ofN-approximationsR m,n(u) to exp (u) ism + 1. The purpose of this note is to present an alternative proof of this result.

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References

  1. S. P. Nørsett and A. Wolfbrandt,Attainable order of rational approximations to the exponential function with only real poles, BIT 17 (1977), 200–208.

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  2. N. Obreschkoff,Verteilung und Berechnung der Nullstellen reeller Polynome, VEB Deutscher Verlag der Wissenschaften, Berlin, 1963.

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  3. A. Wolfbrandt,A study of Rosenbrock processes with respect to order conditions and stiff stability, Computer Sciences 77.01 R, Chalmers University of Technology, Göteborg, Sweden.Thesis.

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Authors and Affiliations

  1. Department of Computer Sciences, Chalmers University of Technology, S-40220, Göteborg 5, Sweden

    Arne Wolfbrandt

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  1. Arne Wolfbrandt
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Wolfbrandt, A. A note on a recent result of rational approximations to the exponential function. BIT 17, 367–368 (1977). https://doi.org/10.1007/BF01932159

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  • DOI: https://doi.org/10.1007/BF01932159

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