Error estimates for the summation of real numbers with application to floating-point summation (Q2411657)
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| Language | Label | Description | Also known as |
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| English | Error estimates for the summation of real numbers with application to floating-point summation |
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Error estimates for the summation of real numbers with application to floating-point summation (English)
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24 October 2017
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New error estimates are derived for the summation of real numbers where each sum is afflicted with some perturbation. These results improve the classical Wilkinson-type error estimates and also extend some recent results on floating-point summation. These new results are sharp, their proofs are surprisingly simple and do not make use of the particular properties of an IEEE -754 like floating-point schemes.
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summation of real numbers
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error estimates
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floating-point summation
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