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Corpus ID: 730782

Fast exact summation using small and large superaccumulators

@article{Neal2015FastES,
title={Fast exact summation using small and large superaccumulators},
author={R. Neal},
journal={ArXiv},
year={2015},
volume={abs/1505.05571}
}

I present two new methods for exactly summing a set of floating-point numbers, and then correctly rounding to the nearest floating-point number. Higher accuracy than simple summation (rounding after each addition) is important in many applications, such as finding the sample mean of data. Exact summation also guarantees identical results with parallel and serial implementations, since the exact sum is independent of order. The new methods use variations on the concept of a "superaccumulatorâ€¦Â CONTINUE READING