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Olver, FWJ (1982)

Further Developments of Rp and Ap Error Analysis

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

ISSN / ISBN: 0272-4979

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



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Reference Type: Journal Article

Subject Area(s): Numerical Analysis