FPU-Supported Running Error Analysis
DOI:
https://doi.org/10.14311/1167Keywords:
analysis of algorithms, a-posteriori error estimates, running error analysis, floating point, numerical stabilityAbstract
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.Downloads
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