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• W1542051567 abstract "Algorithmic methods are presented to perform a priori error analysis and error cumulation comtrol. The corresponding programs are implemented in REDUCE as an extension of Sasaki's multiple precision floating point arithmetic package. Ingredients for the method are some concepts of interval arithmetic and a slightly modified precision notion, in both absolute and relative sense. This allows to take second order effects into account and to consider errors as a combination of inevitable propagated errors, due to inaccurate input, and controlable generated errors, due to arithmetic operations. The error control allows to consider these operations as adjustable sources and results in a set of instructions for using the Sasaki-package such that the precision, dictated by the analysis, guarantees to limit error cumulation to admissible, user chosen error bounds.KeywordsActual ComputationInterval ArithmeticCode OptimizationRelative PrecisionError CumulationThese keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves." @default.
• W1542051567 created "2016-06-24" @default.
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• W1542051567 date "1984-01-01" @default.
• W1542051567 modified "2023-09-27" @default.
• W1542051567 title "Automatic error cumulation control" @default.
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• W1542051567 doi "https://doi.org/10.1007/bfb0032848" @default.
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