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Article | REF: AF1390 V1

Interpolation, approximation and rational extrapolation

Authors: Claude BREZINSKI, Michela REDIVO-ZAGLIA

Publication date: October 10, 2013

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2. Rational approximation

Let f be a function for which the first terms of the Taylor series at 0 are known, whether or not the series is convergent.

f(x)=c0+c1x+c2x2+…

We'll show how it's possible to construct rational fractions whose development in series coincides with that of f up to a certain order.

2.1 Padé-type approximation

We want to construct a rational fraction,...

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