JUCS - Journal of Universal Computer Science 1(7): 514-526, doi: 10.3217/jucs-001-07-0514
On Directed Interval Arithmetic and its Applications
expand article infoSvetoslav M. Markov‡
‡ Bulgarian Academy of Sciences, Bulgaria

Corresponding author: Svetoslav Markov ( smarkov@bgearn.acad.bg )

© Svetoslav Markov.
This article is freely available under the J.UCS Open Content License.
Citation: Markov SM (1995) On Directed Interval Arithmetic and its Applications. JUCS - Journal of Universal Computer Science 1(7): 514-526. https://doi.org/10.3217/jucs-001-07-0514
Open Access
Abstract
We discuss two closely related interval arithmetic systems: i) the of directed (generalized) intervals studied by E. Kaucher, and ii) the syste intervals together with the outer and inner interval operations. A relation two systems becomes feasible due to introduction of special notations and a normal form of directed intervals. As an application, it has been shown that interval systems can be used for the computation of tight inner and outer in of ranges of functions and consequently for the development of software for computation of ranges of functions.
Keywords
computer arithmetic, error analysis, interval algebraic manipulation