Padé Approximant/Examples/Exponential

Example of Padé Approximant

Let $f: \R \to \R$ denote the real function $f: x \mapsto e^x$.

A Padé approximant to $f$ with numerator and denominator of degree $2$ is:

$\dfrac {x^2 + 6 x + 12} {x^2 - 6 x + 12}$

Proof

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Sources

• 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): Padé approximation