Interpolation, approximation and rational extrapolation : Applications

Applications
Interpolation, approximation and rational extrapolation

Authors : Claude BREZINSKI, Michela REDIVO-ZAGLIA

Publication date: October 10, 2013 | Lire en français

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4. Applications

We will now briefly present applications to some numerical analysis problems.

To illustrate convergence acceleration processes, we'll give just two examples, one scalar and the other vector. Both involve the ∊-algorithm.

Consider the series

f (x) = \log (1 + x) = x - x^{2} / 2 + x^{3} /3 - \dots

...

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Ongoing reading
Applications

(1) - BAKER (G.A.) Jr., GRAVES-MORRIS (P.R.) - Padé Approximants - 2 ^nd ed., Cambridge University Press, Cambridge (1996).
(2) - BERRUT (J.-P.), BALTENSPERGER (R.), MITTELMANN (H.D.) -...

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