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Einsatz der Intervallarithmetik bei der Numerischen Konvergenz von ALGOL-60 Programmen

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Book cover Interval Mathematics (IMath 1975)

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

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Abstract

If we consider non numerical convergent ALGOL-60 programs having only a finite number of statements in the case of exact computation, it can be shown that those programs can be transformed into numerical convergent triplex-ALGOL-60 programs.

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Verwendete Literatur

  1. N. APOSTOLATOS et al.: The algorithmic language Triplex-ALGOL 60. Numer. Math. 11, 175–180 (1968)

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  2. H. CHRIST: Realisierung einer Maschinenintervallarithmetik auf beliebigen ALGOL-Compilern. Elektron. Rechenanlagen 10, 217–222 (1968)

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  3. D. KLAUA: Partielle Mengen und Zahlen. Mber. dt. Akad. Wiss. 10, 571–578 (1968)

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  4. R. KRAWCZYK: Abbrechkriterien für Iterationsverfahren. Z. Angew. Math. Mech. 52, 227–232 (1972)

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  5. K. NICKEL: Über die Stabilität und Konvergenz numerischer Algorithmen, Teil I. Interner Bericht des Inst. f. Prakt. Math. 74/3, Universität Karlsruhe (1974)

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  6. J.H. WILKINSON: Rundungsfehler. Springer-Verlag, Berlin, Heidelberg, New York (1969)

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  7. P. WONGWISES: Experimentelle Untersuchungen zur numerischen Auflösung von linearen Gleichungssystemen mit Fehlererfassung. Dissertation, Interner Bericht des Inst. f. Prakt. Math. 75/1, Universität Karlsruhe (1975).

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Authors and Affiliations

  1. Institut für Praktische Mathematik, Universität Karlsruhe, Germany

    F. Bierbaum

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  1. F. Bierbaum
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Karl Nickel

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© 1975 Springer-Verlag Berlin Heidelberg

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Bierbaum, F. (1975). Einsatz der Intervallarithmetik bei der Numerischen Konvergenz von ALGOL-60 Programmen. 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_13

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  • DOI: https://doi.org/10.1007/3-540-07170-9_13

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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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