Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely:  provides a rounding error analysis for the classical interpolation procedures according to Wilkinson. Interpolation points are assumed as equidistant and ordered by size, and all initial data are given machine numbers. The error bounds obtained for the Lagrange and Neville procedures are almost identical, while for the Newton procedure they grow substantially in the “right” range of the interpolation points.
['Georg Brügner']
I am writing a research paper on a idea Rounding error analysis of interpolation procedures
[{"from": "human", "value": "I am writing a research paper on a idea Rounding error analysis of interpolation procedures"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely:  provides a rounding error analysis for the classical interpolation procedures according to Wilkinson. Interpolation points are assumed as equidistant and ordered by size, and all initial data are given machine numbers. The error bounds obtained for the Lagrange and Neville procedures are almost identical, while for the Newton procedure they grow substantially in the \u201cright\u201d range of the interpolation points."}]