FPU-Supported Running Error Analysis

A-posteriori forward rounding error analyses tend to give sharper error estimates than a-priori ones, as they use actual data quantities. One of such a-posteriori analysis – running error analysis – uses expressions consisting of two parts; one generates the error and the other propagates input erro...

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Bibliographic Details
Main Authors: T. Zahradnický, R. Lórencz
Format: Article
Language:English
Published: CTU Central Library 2010-01-01
Series:Acta Polytechnica
Subjects:
Online Access:https://ojs.cvut.cz/ojs/index.php/ap/article/view/1167
Description
Summary:A-posteriori forward rounding error analyses tend to give sharper error estimates than a-priori ones, as they use actual data quantities. One of such a-posteriori analysis – running error analysis – uses expressions consisting of two parts; one generates the error and the other propagates input errors to the output. This paper suggests replacing the error generating term with an FPU-extracted rounding error estimate, which produces a sharper error bound.
ISSN:1210-2709
1805-2363