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DLMF: Figure 18.40.2 ‣ §18.40 Methods of Computation ‣ Computation ‣ Chapter 18 Orthogonal Polynomials
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18 Orthogonal PolynomialsComputation18.40 Methods of Computation
Figure 18.40.2 (See in context.)
See accompanying text
Figure 18.40.2: Derivative Rule inversions for wRCP⁡(x) carried out via Lagrange and PWCF interpolations. Shown are the absolute errors of approximation (18.40.8) at the points xi,N, i=1,2,…,N for N=40. For the derivative rule Lagrange interpolation (red points) gives ∼15 digits in the central region, while PWCF interpolation (blue points) gives ∼25.
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Annotations:
Symbols:
N: positive integer, w⁡(x): weight function and x: real variable
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Annotations for §18.40 and Ch.18
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