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Einige Anwendungen der Kreisscheibenarithmetik in der Kettenbruchtheorie

  • Peter Henrici
Hauptvorträge
Part of the Lecture Notes in Computer Science book series (LNCS, volume 29)

Keywords

Truncation Error Estimate Dann Gilt Complex Interval Arithmetic 
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Literaturangaben

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    P. J. Davis: The Schwarz Function and its Applications. Carus Mathematical monograph vol. 17, Mathematical Association of America, 1974.Google Scholar
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    I. Gargantini and P. Henrici: Circular arithmetic and the determination of polynomial zeros. Numer. Math. 18, 305–320 (1972).CrossRefGoogle Scholar
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    P. Henrici: Applied and Computational Complex Analysis. Wiley-Interscience, New York 1974.Google Scholar
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    P. Henrici and P. Pfluger: Truncation error estimates for Stieltjes fractions. Numer. Math. 9, 120–138 (1966).Google Scholar
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    K. Nickel: Zeros of polynomials and other topics. Topics in Interval Analysis (E. Hansen, ed.), pp. 25–34. Clarendon Press, Oxford 1969.Google Scholar
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    O. Perron: Die Lehre von den Kettenbrüchen. Band II: Analytischfunktionentheoretische Kettenbrüche. 3. Aufl., Teubner, Stuttgart 1957.Google Scholar
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    J. Rokne and P. Lancaster: Complex interval arithmetic. Comm. Assoc. Comp. Mach. 14, 111–112 (1971).Google Scholar
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    W. J. Thron: A survey of recent convergence results for continued fractions. Rocky Mountain J. MAth. 4, 273–282 (1974).Google Scholar
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    H. S. Wall: Analytic Theory of Continued Fractions. Van Nostrand, New York 1948.Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 1975

Authors and Affiliations

  • Peter Henrici
    • 1
  1. 1.Seminar für Angewandte Mathematik Eidgenössische Technische HochschuleZürich

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