Advertisement

Interval Arithmetic

Chapter
Part of the Lecture Notes in Mathematics book series (LNM, volume 2091)

Abstract

In this chapter the semantic interval extensions of the simplest elementary functions: the arithmetic operators (addition, multiplication, division), logarithm, exponential functions (including the hyperbolic functions), power function, and the trigonometric functions and their inverses, are considered, together with their most important properties and their arithmetic implementations.

Keywords

Function Return Arithmetic Operation Interval Arithmetic Floating Point Number Modal Interval 
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.

References

  1. 11.
    F. Cellier, Continuous System Modeling (Springer, Berlin, 1991)CrossRefzbMATHGoogle Scholar
  2. 48.
    E. Kaucher, Algebraische orweiterungen der intervallrechnung unter erhaltung der ordnungs und verbandsstrukturen. Comput. Suppl. 1, 65–79 (1977)CrossRefGoogle Scholar
  3. 49.
    E. Kaucher, Interval analysis in the extended interval space IR. Comput. Suppl. 2, 33–49 (1979)MathSciNetCrossRefGoogle Scholar
  4. 72.
    H. Ratschek, Nichtnumerische Aspekte der Interval-Mathematik, vol. 29 (Springer, Heidelberg, 1975)Google Scholar
  5. 73.
    H. Ratschek, J. Rokne, Computer Methods for the Range of Functions (Ellis Horwood, Chichester, 1984)zbMATHGoogle Scholar
  6. 89.
    A. Trepat, Completación reticular del espacio de intervalos. Ph.D. thesis, Facultad de Matemáticas, Universidad de Barcelona, Spain, 1982Google Scholar

Copyright information

© Springer International Publishing Switzerland 2014

Authors and Affiliations

  1. 1.Informática Matemática Aplicada y Estadística Escola Politecnica SuperiorUniversity of GironaGironaSpain
  2. 2.Enginyeria Elèctrica Electrònica i Automàtica Escola Politecnica SuperiorUniversity of GironaGironaSpain
  3. 3.Imperial College LondonLondonUK
  4. 4.Matemática Económica Financiera y Actuarial Facultad de Economia y EmpresaUniversitat de BarcelonaBarcelonaSpain

Personalised recommendations