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...
17 KB (2,900 words) - 18:53, 16 July 2024
retired in 1934. Media related to Henri Padé at Wikimedia Commons O'Connor, John J.; Robertson, Edmund F., "Henri Padé", MacTutor History of Mathematics Archive...
3 KB (193 words) - 09:14, 21 August 2024
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...
12 KB (1,800 words) - 14:20, 13 March 2023
Error function (redirect from Numerical approximations of the error function)
the desired interval of approximation. Another approximation is given by Sergei Winitzki using his "global Padé approximations":: 2–3 erf x ≈ sgn ...
45 KB (6,815 words) - 19:52, 29 August 2024
combine a polynomial or rational approximation (such as Chebyshev approximation, best uniform approximation, Padé approximation, and typically for higher or...
12 KB (1,648 words) - 13:24, 11 August 2024
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...
3 KB (338 words) - 03:32, 31 July 2024
Rational approximation may refer to: Diophantine approximation, the approximation of real numbers by rational numbers Padé approximation, the approximation of...
397 bytes (74 words) - 20:32, 6 February 2023
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...
5 KB (841 words) - 05:34, 8 December 2021
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...
15 KB (2,957 words) - 01:57, 11 May 2024
needed] 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...
9 KB (1,903 words) - 23:30, 27 August 2024