Henri Padé, but goes back to Georg Frobenius, who introduced the idea and investigated the features of rational approximations of power series. The Padé approximant...

Eugène Padé (French: [pade]; 17 December 1863 – 9 July 1953) was a French mathematician, who is now remembered mainly for his development of Padé approximation...

Rational approximation may refer to: Diophantine approximation, the approximation of real numbers by rational numbers Padé approximation, the approximation of...

s\in \mathbb {C} } is complex frequency. This can be approximated using a Padé approximant, as follows: e − s T = e − s T / 2 e s T / 2 ≈ 1 − s T / 2 1...

the desired interval of approximation. Another approximation is given by Sergei Winitzki using his "global Padé approximations":: 2–3  erf ⁡ x ≈ sgn ⁡...

combine a polynomial or rational approximation (such as Chebyshev approximation, best uniform approximation, Padé approximation, and typically for higher or...

y1 is a result of simulation of Padé approximation of 2nd order, y2 is a result of simulation of Padé approximation of 4th order and y3 is result of...

pure exponential. Find a one pole approximation to the true frequency response. This is a first-order Padé approximation. There are many extensions to Elmore...

the function f, the Padé approximation also has d + 1 coefficients dependent on f and its derivatives. More precisely, in any Padé approximant, the degrees...

Halley's method exactly finds the roots of a linear-over-linear Padé approximation to the function, in contrast to Newton's method or the Secant method...