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...
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| Main Author | |
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| Format | Journal Article |
| Language | English |
| Published |
13.03.2006
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| Subjects | |
| Online Access | Get full text |
| DOI | 10.48550/arxiv.cs/0603052 |
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| Summary: | 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. |
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| DOI: | 10.48550/arxiv.cs/0603052 |