Practical Applications of the QR algorithm

Epsilon Algorithm

The epsilon algorithm is an all-purpose algorithm used to accelerate mathematical and engineering series that converge too slowly. Wynn discovered the algorithm, and he applied it in weakly diverging sequences that he used a fixed operator point as desired limit (Dahlquist & Björck, 2007). However, there are exceptions to Wynn’s application of the epsilon algorithm. For instance, in quantum well oscillators, the epsilon algorithm is not robust enough to obtain a solution.