Karlsruhe Accurate Arithmetic

Karlsruhe Accurate Arithmetic (KAA), or Karlsruhe Accurate Arithmetic Approach (KAAA), augments conventional floating-point arithmetic with good error behaviour with new operations to calculate scalar products with a single rounding error.[1]

The foundations for KAA were developed at the University of Karlsruhe starting in the late 1960s.[2][3][4]

See also

edit

References

edit
  1. ^ McDermid, John A. (1993) [1991]. "Chapter 8.5.2". Software Engineer's Reference Book (revised ed.). Butterworth-Heinemann Ltd. / Elsevier. p. 187. ISBN 0-7506-0813-7. ISBN 1483105083 / ISBN 9781483105086. Retrieved 2016-05-30.
  2. ^ CW (1985-12-20). "Rechner liefern keine korrekten Ergebnisse - Neue Arithmetik der Karlsruher Forschungsgruppe Kulisch in der 4361 realisiert" [Computers don't deliver exact results - Karlsruhe research team Kulisch implements new computer arithmetic for the IBM 4361]. Computerwoche (in German). Karlsruhe, Germany: IDG Business Media GmbH. Archived from the original on 2016-05-30. Retrieved 2016-05-30.
  3. ^ Lortz, Bruno (1971). Eine Langzahlarithmetik mit optimaler einseitiger Rundung [A large-number arithmetic with optimal one-side rounding] (Ph.D. thesis) (in German). Universität Karlsruhe.
  4. ^ Kulisch, Ulrich W. (1976). Grundlagen des Numerischen Rechnens. Mathematische Begründung der Rechnerarithmetik (in German). Mannheim, Germany: Bibliographisches Institut. ISBN 3-411-01517-9. ISBN 978-3-411-01517-7.

Further reading

edit