Definition einer Kahan-Arithmetik und ihre Implementierung

  • S. E. Laveuve
Part of the Lecture Notes in Computer Science book series (LNCS, volume 29)


To get an Interval Arithmetic, which allows the division by any interval containing zero, the known arithmetic of the finite closed intervals is enlarged, under application of the rules for calculation with "±∞", to an arithmetic of infinite, closed intervals. With the help of this arithmetic a so-called "Kahan-Arithmetic" is constructed for intervals which contain "±∞" in their interieur.


Interval Arithmetic Finite Closed Interval Nach Definition 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. [1]
    Moore, R. E. "Interval Analysis" Prentice-Hall, Inc., Englewood Cliffs, N.J. 1966Google Scholar
  2. [2]
    Kahan, W. M. "A More Complete Interval Arithmetic" Lecture Notes for a Summer Course at the University of Michigan 1968Google Scholar
  3. [3]
    Apostolatos, N. Kulisch, U. "Grundlagen einer Maschinen-Intervall-Arithmetik" Computing 2, Seite 89–104 (1967)Google Scholar
  4. [4]
    Laveuve, S. E. "Definition einer Kahan-Arithmetik und ihre Implementierung in TRIPLEX-ALGOL 60" Diplomarbeit am Institut für Praktische Mathematik an der Universität Karlsruhe (1975)Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 1975

Authors and Affiliations

  • S. E. Laveuve
    • 1
  1. 1.Institut für Praktische MathematikUniversität KarlsruheBRD

Personalised recommendations