Taylor expansion of the accumulated rounding error

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ID: 110161
1970
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Abstract
The article describes analytic and algorithmic methods for determining the coefficients of the Taylor expansion of an accumulated rounding error with respect to the local rounding errors, and hence determining the influence of the local errors on the accumulated error. Second and higher order coefficients are also discussed, and some possible methods of reducing the extensive storage requirements are analyzed.
Reference Key
linnainmaa1970bittaylor Use this key to autocite in the manuscript while using SciMatic Manuscript Manager or Thesis Manager
Authors Seppo Linnainmaa;Seppo Linnainmaa;
Journal bit numerical mathematics
Year 1970
DOI
doi:10.1007/BF01931367
URL
https://dx.doi.org/10.1007/BF01931367
Keywords
mathematics general computational mathematics and numerical analysis numeric computing

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