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Erschienen in:
1996 | OriginalPaper | Buchkapitel
On directed interval arithmetic and its applications
verfasst von : Svetoslav Markov
Erschienen in: J.UCS The Journal of Universal Computer Science
Verlag: Springer Berlin Heidelberg
Enthalten in: Professional Book Archive
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We discuss two closely related interval arithmetic systems: i) the system of directed (generalized) intervals studied by E. Kaucher, and ii) the system of normal intervals together with the outer and inner interval operations. A relation between the two systems becomes feasible due to introduction of special notations and a so-called normal form of directed intervals. As an application, it has been shown that both interval systems can be used for the computation of tight inner and outer inclusions of ranges of functions and consequently for the development of software for automatic computation of ranges of functions.