Evaluation of interval extension of the power function by graph decomposition
<|reference_start|>Evaluation of interval extension of the power function by graph decomposition: 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.<|reference_end|>
@article{petrov2006evaluation,
    title={Evaluation of interval extension of the power function by graph
  decomposition},
    author={Evgueni Petrov},
    journal={arXiv preprint arXiv:cs/0603052},
    year={2006},
    archivePrefix={arXiv},
    eprint={cs/0603052},
    primaryClass={cs.MS}
}