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Einschliessungsmengen von Polynom-Nullstellen

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Interval Mathematics (IMath 1975)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 29))

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Zusammenfassung

Aus den Werten der Ableitungen p(k) eines Polynoms p an einer beliebigen Stelle z lassen sich in sehr einfacher Weise konzentrische Kreisgebiete um z angeben, die mindestens eine Nullstelle des Polynoms enthalten.

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Literatur

  1. F.L. Bauer, Inclusions Sets for Roots of Polynominals, Numer. Math. 9, 173–176 (1966).

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  2. I. Gargantini and P. Henrici, Circular Arithmetic and the Determination of Polynominal Zeros, Numer. Math. 18, 305–320 (1972).

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  3. E. Laguerre, Sur la résolution des équations numériques, Nouvelles Annales de Mathématiques, sér. 2, 17 (1878) = Oeuvres vol. 1, pp. 52–66, Paris (1898).

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Author information

Authors and Affiliations

  1. Universitäts-Rechenzentrum Ulm, Schloßbau 38, 7900, Ulm-Wiblingen

    Norbert Krier

  2. Universität Mainz FB 17, Postfach 3980, 6500, Mainz, Germany

    Peter Spellucci

Authors
  1. Norbert Krier
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  2. Peter Spellucci
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Editor information

Karl Nickel

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© 1975 Springer-Verlag Berlin Heidelberg

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Krier, N., Spellucci, P. (1975). Einschliessungsmengen von Polynom-Nullstellen. In: Nickel, K. (eds) Interval Mathematics. IMath 1975. Lecture Notes in Computer Science, vol 29. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-07170-9_21

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  • DOI: https://doi.org/10.1007/3-540-07170-9_21

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-07170-9

  • Online ISBN: 978-3-540-37504-3

  • eBook Packages: Springer Book Archive

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