Evaluation of interval extension of the power function by graph decomposition
Abstract
Description
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.
submitted to the INTERVAL 2006 workshop to be held in St. Petersburg June 2006, Russia; extended abstract
submitted to the INTERVAL 2006 workshop to be held in St. Petersburg June 2006, Russia; extended abstract