A Fast Compensated Algorithm for Computing Givens Rotations
Fuente:
arXiv
Enregistré dans:
| Auteur principal: | |
|---|---|
| Format: | Preprint |
| Publié: |
2024
|
| Sujets: | |
| Accès en ligne: | |
| Tags: |
Ajouter un tag
Pas de tags, Soyez le premier à ajouter un tag!
|
| _version_ | 1866929374440194048 |
|---|---|
| author | Borges, Carlos F. |
| author_facet | Borges, Carlos F. |
| contents | We develop a very simple compensated scheme for computing very accurate Givens rotations. The approach is significantly more straightforward than the one in \cite{borges2021fast}, and the derivation leads to a very satisfying algorithm whereby a naively computed Givens rotation can be used to construct a correction to itself. It is also seen that this scheme continues to provide high accuracy even when built on a hypoteneuse calculation that is of lesser accuracy. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_02750 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A Fast Compensated Algorithm for Computing Givens Rotations Borges, Carlos F. Numerical Analysis We develop a very simple compensated scheme for computing very accurate Givens rotations. The approach is significantly more straightforward than the one in \cite{borges2021fast}, and the derivation leads to a very satisfying algorithm whereby a naively computed Givens rotation can be used to construct a correction to itself. It is also seen that this scheme continues to provide high accuracy even when built on a hypoteneuse calculation that is of lesser accuracy. |
| title | A Fast Compensated Algorithm for Computing Givens Rotations |
| topic | Numerical Analysis |
| url | https://arxiv.org/abs/2406.02750 |