Author： Hansen Eldon
Publisher： Springer Publishing Company
ISSN： 1385-3139
Source： Reliable Computing, Vol.12, Iss.1, 2006-02, pp. : 21-34
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Abstract
We consider ways to use monotonicity to reduce the excess width (due to dependence) of computed intervals. Use of monotonicity generally involves evaluation of a derivative. We show how monotonicity can often be used without evaluating derivatives. As examples, we show how Gaussian elimination and evaluation of slopes can be sharpened. A variable amount of extra computing is required to obtain the sharper results.
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