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.
Bibtex:
@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