Applications
Interpolation, approximation and rational extrapolation
Article REF: AF1390 V1
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.

4.1 Accelerating convergence

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−x2/2+x3/3−⋯

...

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