Evaluation of interval extension of the power function by graph decomposition
Abstract
The subject of our talk is the correct evaluation of interval extension of the function specified by the expression xy without any constraints on the values of x and y. The core of our approach is a decomposition of the graph of xy into a small number of parts which can be transformed into subsets of the graph of xy for non-negative bases x. Because of this fact, evaluation of interval extension of xy, without any constraints on x and y, is not much harder than evaluation of interval extension of xy for non-negative bases x.
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