Aitken's delta square method

Aitken's delta-squared method or Aitken Extrapolation is a series acceleration method, used for accelerating the rate of convergence.

Working Procedure for Aitken’s delta square method:

(i) Choose 𝑥0 initial approximation for root, obtain 𝑥1 and 𝑥2 using iterative method.

(ii) Improve this using 𝑥3 = 𝑥2 − ((∆𝑥1) ^2 )/∆ ^2 (x0) , now with 𝑥3 , obtain 𝑥4 and 𝑥5 with iteration method.

(iii) 𝑥6 is obtained by 𝑥6 = 𝑥5 − ((∆𝑥4) ^2 )/∆ ^2 (x3).

NOTE :- The instructions for using code is provided within the file.