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Eine Formel von Wronski und ihre Bedeutung für den Quotienten-Differenzen-Algorithmus

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Summary

In [3], paragraph 6, the author showed how to find the zeros of a polynomial with the aid of the QD-Algorithm. The method required a certain rational function to be developed into a continued fraction of Stieltjes type to give the starting values for the QD-Algorithm. In the present paper the author shows how starting values can be obtainedwithout computing a continued fraction.

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Literaturverzeichnis

  1. A. C. Aitken,Further Numerical Studies in Algebraic Equations and Matrices, Proc. roy. Soc. Edinburgh51, 80–90 (1931).

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Authors and Affiliations

  1. Institut für angewandte Mathematik der ETH, Zürich

    Heinz Rutishauser

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  1. Heinz Rutishauser
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Rutishauser, H. Eine Formel von Wronski und ihre Bedeutung für den Quotienten-Differenzen-Algorithmus. Journal of Applied Mathematics and Physics (ZAMP) 7, 164–169 (1956). https://doi.org/10.1007/BF01600787

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  • DOI: https://doi.org/10.1007/BF01600787

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