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Olver, FWJ (1982)

Further Developments of Rp and Ap Error Analysis

IMA Journal of Numerical Analysis 2(3), pp. 249-274.

ISSN/ISBN: 0272-4979 DOI: 10.1093/imanum/2.3.249

Abstract: Extensions are made of a recently developed theory of floating-point error analysis to facilitate the construction and computation of strict error bounds of a posteriori type. Inter alia, these extensions obviate the need for specially-directed rounding procedures in computer hardware or software, and reduce computational cost by enabling error bounds to be computed to a low working precision. Applications are made to the evaluation of products, quotients, powers, sums and inner products, and also to the processes of input and output.

@article{, title={Further developments of rp and ap error analysis}, author={Olver, Frank W. J.}, journal={IMA Journal of Numerical Analysis}, volume={2}, number={3}, pages={249--274}, year={1982}, publisher={Oxford University Press}, ISSN={0272-4979}, DOI={10.1093/imanum/2.3.249}, }

Reference Type: Journal Article

Subject Area(s): Analysis, Numerical Analysis