Interval Extensions of Multivalued Inverse Functions - Archive ouverte HAL Access content directly
Preprints, Working Papers, ... Year :

Interval Extensions of Multivalued Inverse Functions

(1)
1

Abstract

The implementation of inverse functions provided by most interval arithmetic software libraries is restricted to bijective functions and to the principal branch of multivalued functions. On the other hand, some algorithms—most notably, constraint propagation algorithms—require multivalued inverse functions as well. We present in details in this paper the algorithms to implement interval arithmetic extensions of the following multivalued inverse functions: the inverse integral power, the inverse cosine, the inverse sine, the inverse tangent, the inverse hyperbolic cosine, and the inverse multiplication. The issues raised by their effective as well as efficient implementation with floating-point numbers in the gaol C++ library are carefully addressed.
Fichier principal
Vignette du fichier
inverse-interval2007.pdf (358 Ko) Télécharger le fichier
Origin : Files produced by the author(s)
Loading...

Dates and versions

hal-00288457 , version 1 (17-06-2008)

Identifiers

  • HAL Id : hal-00288457 , version 1

Cite

Frédéric Goualard. Interval Extensions of Multivalued Inverse Functions. 2007. ⟨hal-00288457⟩
84 View
211 Download

Share

Gmail Facebook Twitter LinkedIn More