Why monotonicity in interval computations? A remark
Misha Koshelev, Владик Крейнович · ACM SIGNUM Newsletter · 1996
Monotonicity of functions has been successfully used in many problems of interval computations. However, in the context of interval computations, monotonicity seems somewhat ad hoc. In this paper, we show that monotonicity can be reformulated in interval terms and is, therefore, a natural condition for interval mathematics.