On the definition of unit roundoff (Q285290)

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scientific article; zbMATH DE number 6582322
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On the definition of unit roundoff
scientific article; zbMATH DE number 6582322

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    On the definition of unit roundoff (English)
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    19 May 2016
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    The authors consider the general problem of best approximating a real number with elements from a given finite set of numbers. In this context they identify a special rounding rule for floating point arithmetic, which minimizes the error with respect to the computed result.
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    floating-point number
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    IEEE 754
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    rounding
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    tie-breaking rule
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