Further Developments of Rp and Ap Error Analysis

Publisher Website
Google Scholar
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.

This publication has 0 references indexed in Scilit: