Definition:Padé Approximation

Definition

Padé approximation is a technique whereby a function $f$ is approximated by a rational function $f'$ such that the numerator and denominator are:

polynomials with specified degree

chosen so that the Maclaurin series of $f$ and $f'$ agree to as many terms as possible.

Also see

• Definition:Padé Approximant

• Results about Padé approximation can be found here.

Source of Name

This entry was named for Henri Eugène Padé.

Historical Note

The technique of Padé approximation was invented by Henri Eugène Padé in $1892$.

Sources

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