16 citations · 20 across the 3 of their papers we have counts for
3 papers
The stability of extended Floater-Hormann interpolants
Andre Pierro de Camargo, Walter F. Mascarenhas
We present a new analysis of the stability of extended Floater-Hormann interpolants, in which both noisy data and rounding errors are considered. Contrary to what is claimed in the…
On the backward stability of the second barycentric formula for interpolation
Walter F. Mascarenhas, Andre Pierro de Camargo
We present a new stability analysis for the second barycentric formula for interpolation, showing that this formula is backward stable when the relevant Lebesgue constant is small.
The effects of rounding errors in the nodes on barycentric interpolation
Walter F. Mascarenhas, André Pierro de Camargo
We analyze the effects of rounding errors in the nodes on barycentric interpolation. These errors are particularly relevant for the first barycentric formula with the Chebyshev poi…