The Accuracy of Floating Point Summation¶
Higham, N. J. (1993). The Accuracy of Floating Point Summation. SIAM Journal on Scientific Computing, 14(4), 783-799.
Cited by¶
1 citation across 1 artifact.
Each citation links to the sentence it supports in the citing article.
Mechanisms¶
- Deterministic Pairwise Accumulation
- Its strength is reproducibility across processor layouts plus a genuinely tighter error bound than naive left-to-right summation
This sourceDerives a pairwise-summation rounding-error bound that grows with log₂ n rather than n for recursive summation.
- Its strength is reproducibility across processor layouts plus a genuinely tighter error bound than naive left-to-right summation
Verification¶
Does it exist? Confirmed. This work's DOI resolves to a registered record, which fixes its identity. That is all it fixes.
Does it back the claim? Not recorded. The single citation of this work carries no recorded support check.
Support is checked per citation rather than per work — the same source can be cited soundly in one article and wrongly in another. Per-citation recording began recently, so a citation with no recorded check is a gap in the record rather than evidence it went unchecked.
See how references were verified.
Registry ID ref:81467020e98c · see in the full table