Algorithm for Evaluation of the Interval Power Function of Unconstrained Arguments

TL;DR

This paper presents an algorithm for accurately evaluating the interval extension of the power function x^y for unconstrained variables, simplifying the problem to cases with non-negative bases to improve computational efficiency.

Contribution

The paper introduces a novel algorithm that reduces the general interval power function evaluation to a simpler case with non-negative bases, enhancing accuracy and efficiency.

Findings

Effective reduction of the general case to non-negative bases

Improved accuracy in interval power function evaluation

Potential for application in interval arithmetic computations

Abstract

We describe an algorithm for evaluation of the interval extension of the power function of variables x and y given by the expression x^y. Our algorithm reduces the general case to the case of non-negative bases.