Mathematics defines an interval as a set of real numbers lying between two endpoints on the number line (the endpoints may be included or excluded in the set). Mathematicians commonly express these ...

This paper first exposes some of the defects in the interval arithmetic algorithms of Moore and Krückeberg. Then it identifies classes of problems on which these algorithms compute "optimum bounds".

Floating-point arithmetic is a cornerstone of modern computational science, providing an efficient means to approximate real numbers within a finite precision framework. Its ubiquity across scientific ...