Interval unions

Hermann Schichl; Ferenc Domes; Tiago de Morais Montanher; Kevin Kofler

doi:10.1007/s10543-016-0632-y

Interval unions

Hermann Schichl, Ferenc Domes, Tiago de Morais Montanher, Kevin Kofler

Institut für Mathematik

Veröffentlichungen: Beitrag in Fachzeitschrift › Artikel › Peer Reviewed

Abstract

This paper introduces interval union arithmetic, a new concept which extends the traditional interval arithmetic. Interval unions allow to manipulate sets of disjoint intervals and provide a natural way to represent the extended interval division. Considering interval unions lead to simplifications of the interval Newton method as well as of other algorithms for solving interval linear systems. This paper does not aim at describing the complete theory of interval union analysis, but rather at giving basic definitions and some fundamental properties, as well as showing theoretical and practical usefulness of interval unions in a few selected areas.

Originalsprache	Englisch
Seiten (von - bis)	531–556
Seitenumfang	26
Fachzeitschrift	BIT Numerical Mathematics
Jahrgang	57
Ausgabenummer	2
Frühes Online-Datum	14 Okt. 2016
DOIs	https://doi.org/10.1007/s10543-016-0632-y
Publikationsstatus	Veröffentlicht - Juni 2017

ÖFOS 2012

101014 Numerische Mathematik
101016 Optimierung

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10.1007/s10543-016-0632-yLizenz: CC BY 4.0

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Interval unions

Abstract

ÖFOS 2012

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