2 papers
math.NA2025
A Square-Root Free Algorithm for Computing Real Givens Rotations
Carlos F. Borges
We develop an accurate square-root-free algorithm for constructing real Givens rotations. On processors that support the fused multiply-add operation in hardware, the algorithm is…
math.NA2024
A Fast Compensated Algorithm for Computing Givens Rotations
Carlos F. Borges
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},…