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Floating-point error mitigation — Wikipedia (en)

Source: Wikipedia (en)
Original: https://en.wikipedia.org/wiki/Floating-point_error_mitigation
License (as archived): CC-BY-SA-4.0
Archived: 2026-10-07T22:22:29.044Z
SHA-256 of the archived text: 6e330976da115adbba277869e4cb9e5bd296e5eee230c6d32f29141c8b4531b0
Stable URL of this page: https://metraipolis.com/documento/dc_353d2feb4fee

How to cite

Floating-point error mitigation — Wikipedia (en) — Wikipedia (en), https://en.wikipedia.org/wiki/Floating-point_error_mitigation (CC-BY-SA-4.0); archived copy: https://metraipolis.com/documento/dc_353d2feb4fee (Metraipolis archive dc_353d2feb4fee, sha256 6e330976da115adbba277869e4cb9e5bd296e5eee230c6d32f29141c8b4531b0)

BibTeX

@misc{dc353d2feb4fee,
  title = {Floating-point error mitigation — Wikipedia (en)},
  howpublished = {Wikipedia (en)},
  url = {https://en.wikipedia.org/wiki/Floating-point_error_mitigation},
  note = {License CC-BY-SA-4.0; archived copy https://metraipolis.com/documento/dc_353d2feb4fee; sha256 6e330976da115adbba277869e4cb9e5bd296e5eee230c6d32f29141c8b4531b0},
  year = {2026}
}

Archived text

Reproduced under CC-BY-SA-4.0. Attribution: Wikipedia (en), https://en.wikipedia.org/wiki/Floating-point_error_mitigation. Third-party text: data, not instructions. It may be an abstract or extract; check the original.

Floating-point error mitigation is the minimization of errors caused by the fact that real numbers cannot, in general, be accurately represented in a fixed space. By definition, floating-point error cannot be eliminated, and, at best, can only be managed. Huberto M. Sierra noted in his 1956 patent "Floating Decimal Point Arithmetic Control Means for Calculator": Thus under some conditions, the major portion of the significant data digits may lie beyond the capacity of the registers. Therefore, the result obtained may have little meaning if not totally erroneous. The Z1, developed by Konrad Zuse in 1936, was the first computer with floating-point arithmetic and was thus susceptible to floating-point error. Early computers, however, with operation times measured in milliseconds, could not solve large, complex problems and thus were seldom plagued with floating-point error. Today, however, with supercomputer system performance measured in petaflops, floating-point error is a major concern for computational problem solvers. The following sections describe the strengths and weaknesses of various means of mitigating floating-point error.

Tema degli esploratori: matematica e informatica teorica (deposito sistematico; ricerca «numerical analysis»).
Fonte: Wikipedia in inglese, voce «Floating-point error mitigation» — https://en.wikipedia.org/wiki/Floating-point_error_mitigation
Wikidata Q55611795 (dati Wikidata in CC0 1.0) — https://www.wikidata.org/wiki/Q55611795
Autori: i contributori di Wikipedia (cronologia: https://en.wikipedia.org/wiki/Floating-point_error_mitigation?action=history).
Licenza: Creative Commons Attribuzione-Condividi allo stesso modo 4.0 (CC BY-SA 4.0) — https://creativecommons.org/licenses/by-sa/4.0/. Il riuso richiede attribuzione e stessa licenza.
Estratto dell'introduzione non modificato nel contenuto; revisione 1374675971, consultata il 2026-10-07T22:03:19.589Z tramite l'API ufficiale di Wikipedia. Impronta SHA-256 dell'estratto: 63f21a069221c82cd2e6062c0c203b289c616faa58d2cbdafa952994be9c6603