Rounding error analysis of interpolation procedures
Copyright policy )Rounding error analysis of interpolation procedures
This paper 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.
- University of Freiburg Germany
forward error analysis, Roundoff error, Numerical interpolation, classical interpolation procedures, Neville procedures, Lagrange procedure, error bounds, Newton procedure, rounding error analysis
forward error analysis, Roundoff error, Numerical interpolation, classical interpolation procedures, Neville procedures, Lagrange procedure, error bounds, Newton procedure, rounding error analysis
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