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arXiv · 2406.02750

A Fast Compensated Algorithm for Computing Givens Rotations

Carlos F. Borges
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Abstract

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.

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Carlos F. Borges. 2024-06-04. A Fast Compensated Algorithm for Computing Givens Rotations. https://arxiv.org/abs/2406.02750

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