Abstract
One of main applications of interval computations is estimating errors of indirect measurements. A quantity y is measured indirectly if we measure some quantities xi related to y and then estimate y from the results x, of these measurements as f(x1,..., xn) by using a known relation f. Interval computations are used “to find the range of f(x1,...,xn) when xi are known to belong to intervals xi = [xi — Δi,xi + Δi],” where Δi are guaranteed accuracies of direct measurements. It is known that the corresponding problem is intractable (NP-hard) even for polynomial functions f.
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