Aitken's delta-squared process

Aitken's delta-squared process is a numerical acceleration method commonly used to improve the convergence of a sequence. It is particularly useful for sequences that converge to a limit but do so slowly. The method aims to obtain a better approximation to the limit by transforming the original sequence into a new sequence that converges more rapidly. The method is typically applied as follows: 1. **Given a sequence** \( (x_n) \) that converges to some limit \( L \).