Rational extrapolation
Interpolation, approximation and rational extrapolation

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AF1390 V1 Article

Rational extrapolation
Interpolation, approximation and rational extrapolation

Authors : Claude BREZINSKI, Michela REDIVO-ZAGLIA

Publication date: October 10, 2013 | Lire en français

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3. Rational extrapolation

Let (S n ) be a sequence of numbers, vectors or matrices that converges to S. When its convergence is slow, we transform it, without modifying it, into a new sequence (T n ) which, under certain assumptions, converges faster to the same limit, i.e. such that

limnTnSSnS=0.

Such methods are called sequence transformations...

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