Abstract
When solving numerical computational problems one always has to expect errors. Because there are only finitely many machine numbers, errors can occur not only when inputting data (the number 0.1, for example, has no exact binary representation with finitely many digits; cf. Example 4.2), but also when using the elementary operations +, −, ⋅ and ∕. Moreover, the desired answer may be a nonrepresentable number.
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© 2016 Springer International Publishing Switzerland
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Hougardy, S., Vygen, J. (2016). Computing with Errors. In: Algorithmic Mathematics. Springer, Cham. https://doi.org/10.1007/978-3-319-39558-6_5
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DOI: https://doi.org/10.1007/978-3-319-39558-6_5
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