Evaluation of interval extension of the power function by graph decomposition
Mathematical Software
2007-05-23 v2
Abstract
The subject of our talk is the correct evaluation of interval extension of the function specified by the expression x^y without any constraints on the values of x and y. The core of our approach is a decomposition of the graph of x^y into a small number of parts which can be transformed into subsets of the graph of x^y for non-negative bases x. Because of this fact, evaluation of interval extension of x^y, without any constraints on x and y, is not much harder than evaluation of interval extension of x^y for non-negative bases x.
Cite
@article{arxiv.cs/0603052,
title = {Evaluation of interval extension of the power function by graph decomposition},
author = {Evgueni Petrov},
journal= {arXiv preprint arXiv:cs/0603052},
year = {2007}
}
Comments
submitted to the INTERVAL 2006 workshop to be held in St. Petersburg June 2006, Russia; extended abstract