Jürgen Wolff von Gudenberg
Abstract
Interval arithmetic is arithmetic for continuous sets. Floating-point intervals are in-tervals of real numbers with floating-point bounds. Operations for intervals can be efficiently implemented. Hence, the time is ripe for standardization. In this paper we present an interval model that is mathematically sound and closed for the 4 basic
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Interval arithmetic is arithmetic for continuous sets. Floating-point intervals are in-tervals of real numbers with floating-point bounds. Operations for intervals can be efficiently implemented. Hence, the time is ripe for standardization. In this paper we present an interval model that is mathematically sound and closed for the 4 basic
Key concepts: Arithmetic, Interval arithmetic, Interval (graph theory), Saturation arithmetic, Division (mathematics), Mathematics, Floating point, Affine arithmetic